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References

Abadie, J., and J, Carpentier, 1969. Generalization of the Wolfe reduced gradient method to the case of nonlinear constraints. In Optimization (R, Fletcher, ed.). Academic Press, London, chap. 4.
Adby, P.R., and M.A.H, Dempster, 1974. Introduction to Optimization Methods. Chapman and Hall, London.
Agogino, A.M., and A.S, Almgren, 1987. Techniques for integrating qualitative reasoning and symbolic computation in engineering optimization. Engineering Optimization, vol. 12, no. 2, pp. 117–135.
Alexander, M.J., 2011. Management of functional data variables in decompositionbased design optimization. PhD dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Alexander, R McN., 1971. Size and Shape. Edward Arnold, London.
Alexandrov, N., 1993. Multilevel algorithms for nonlinear equations and equality constrained optimization. Doctoral dissertation, Dept. of Computational and Applied Mathematics, Rice University, Houston, TX.
Alexandrov, N.M., and M.Y, Hussaini (eds.), 1997. Multidisciplinary Design Optimization: State of the Art. SIAM, Philadelphia, PA.
Alexandrov, N.M., and R.M, Lewis, 2000. Algorithmic perspective on problem formulations in MDO. Proc. 8th AIAA/USAF/NASA/ISSMO Symp. Multidisciplinary Analysis and Optimization, Long Beach, CA, Sept. 6–8, 2000, paper AIAA-2000- 4719.
Allison, J. T 2004. Complex system optimization: a review of analytical target cascading, collaborative optimization, and other formulations. Master's thesis, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Allison, J.T., 2008. Optimal partitioning and coordination decisions in decompositionbased design optimization. PhD dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Allison, J.T., and R.H, Daniel, 2014. Multidisciplinary design optimization of dynamic engineering systems. AIAA Journal, vol. 52, pp. 691–710.
Allison, J.T., and P.Y, Papalambros, 2010. Consistency constraint allocation in augmented Lagrangian coordination. Journal of Mechanical Design, vol. 132, no. 7, p. 071007.1–8.
Allison, J., D, Walsh,M, Kokkolaras, P.Y, Papalambros, and M, Cartmell, 2006. Analytical target cascading in aircraft design. 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan. 9–12, 2006, paper AIAA-2006-1325.
Allison, J.T., M, Kokkolaras, and P.Y, Papalambros, 2007. On selection of singlelevel formulations for complex system design optimization. Journal of Mechanical Design, vol. 129, no. 9, pp. 898–906.
Allison, J.T., G, Tinghao, and H, Zhi, 2014. Co-design of an active suspension using simultaneous dynamic optimization. Journal of Mechanical Design, vol. 136, p. 081003.
Altair, 2012a. Radioss Version 11.0. Available at: http://www.altairhyperworks.com
Altair, 2012b. OptiStruct Version 11.0. Available at: http://www.altairhyperworks.com
Alyaqout, S., 2006. Amulti-system optimization approach to coupling in robust design and control. PhD dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Alyaqout, S.F., D.L, Peters, P.Y, Papalambros, and A.G, Ulsoy, 2011. Generalized coupling management in complex engineering systems optimization. Journal of Mechanical Design, vol. 133, no. 9, pp. 091005-1–10.
Ansari, N., and E, Hou, 1997. Computational Intelligence for Optimization. Kluwer, Boston, MA.
Antonsson, E.K., and J, Cagan, 2001. Formal Engineering Design Synthesis. Cambridge University Press, Cambridge.
Aris, R., 1964. The Optimal Design of Chemical Reactors. Academic Press, New York, NY.
Armijo, L., 1966. Minimization of functions having Lipschitz continuous first partial derivatives. Pacific Journal of Mathematics, vol. 16, no. 1, pp. 1–3.
Arora, J.S., 1989. Introduction to Optimum Design. McGraw-Hill, New York, NY.
Arora, J., 2011. Introduction to Optimum Design, 3rd edn. Academic Press,Waltham, MA.
Athan, T.W., 1994. A quasi-Monte Carlo method for multicriteria optimization. Doctoral dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Athan, T.W., and P.Y, Papalambros, 1996. A note on weighted criteria methods for compromise solutions in multi-objective optimization. Engineering Optimization, vol. 27, pp. 155–176.
Audet, C., 2014. A survey on direct search methods for blackbox optimization and their applications. In MathematicsWithout Boundaries: Surveys in Interdisciplinary Research (P.M., Pardalos and T.M, Rassias, eds.), Springer, New York, NY, chap. 2, pp. 31–56.
Audet, C., and J.E, Dennis, Jr., 2002. Analysis of generalized pattern searches. SIAM Journal on Optimization, vol. 13, no. 3, pp. 889–903.
Audet, C., and J.E, Dennis, Jr., 2004. A pattern search filter method for nonlinear programming without derivatives. SIAM Journal on Optimization, vol. 14, no. 4, pp. 980–1010.
Audet, C., and J.E, Dennis, Jr., 2006. Mesh adaptive direct search algorithms for constrained optimization. SIAM Journal on Optimization, vol. 17, no. 1, pp. 188–217.
Avriel, M., 1976. Nonlinear Programming – Analysis and Methods. Prentice Hall, Englewood Cliffs, NJ.
Avriel, M., and B, Golany, 1996. Mathematical Programming for Industrial Engineers. Marcel Dekker, New York, NY.
Avriel, M., M.J, Rijckaert, and D.J, Wilde (eds.), 1973. Optimization and Design. Prentice Hall, Englewood Cliffs, NJ.
Azarm, S., and W, Li, 1988. A two-level decomposition method for design optimization. Engineering Optimization, vol. 13, pp. 211–224.
Balling, R.J., and J. Sobieszczanski-Sobieski, 1996. Optimization of coupled systems: a critical overview of approaches. AIAA Journal, vol. 34, no. 1, pp. 6–17.
Barton, R.R., 1992. Computing forward difference derivatives in engineering optimization. Engineering Optimization, vol. 20, no. 3, pp. 205–224.
Bayrak, A.E., 2015. Topology considerations in hybrid electric vehicle powertrain architecture design. PhD dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Bayrak, A.E., Y, Ren, and P.Y, Papalambros, 2016. Topology generation for hybrid electric vehicle architecture design. Journal of Mechanical Design, vol. 138, no. 8, pp. 081401, 1–9.
Bazaraa, M.W., and C.M, Shetty, 1979. Nonlinear Programming – Theory and Algorithms. Wiley, New York, NY.
Beachley, N.H., and H.L, Harrison, 1978. Introduction to Dynamic System Analysis. Harper & Row, New York, NY.
Beale, M., and H, Demuth, 1994. The Neural Net Toolbox User's Guide. MathWorks, Natick, MA.
Beightler, C., and D.T, Phillips, 1976. Applied Geometric Programming. Wiley, New York, NY.
Beightler, C., D.T, Phillips, and D.J, Wilde, 1979. Foundations of Optimization, Prentice Hall, Englewood Cliffs, NJ.
Belegundu, A.D., and T.R, Chandrupatla, 1999. Optmization Concepts and Applications in Engineering. Prentice Hall, Upper Saddle River, NJ.
Bender, E.A., 1978. An Introduction to Mathematical Modeling. Wiley-Interscience, New York, NY.
Bendsoe, M.P., 1995. Optimization of Structural Topology, Shape, and Material. Springer, Berlin.
Bendsoe, M., and N, Kikuchi, 1988. Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering, vol. 71, pp. 197–224.
Bendsoe, M.P., and O, Sigmund, 2003. Topology Optimization: Theory, Methods and Applications. Springer, Berlin.
Ben-Israel, A., A. Ben-Tal, and S, Zlobek, 1981. Optimality in Nonlinear Programming: A Feasible Directions Approach. Wiley-Interscience, New York, NY.
Bertsekas, D.P., 1982. Constrained Optimization and Lagrange Multiplier Methods. Academic Press, New York, NY.
Bertsekas, D.P., 1999. Nonlinear Programming, 2nd edn. Athena Scientific, Belmont, MA.
Best, M.J., and K, Ritter, 1985. Linear Programming: Active Set Analysis and Computer Programs. Prentice Hall, Englewood Cliffs, NJ.
Bischof, C., A, Carle, G, Corliss, A, Griewank, and P, Hovland, 1992. ﹛ADIFOR﹜ – Generating derivative codes from Fortran programs. Scientific Programming, vol. 1, no. 1, pp. 11–29.
Bischof, C., L, Roh, and A, Mauer, 1997. ADIC: an extensible automatic differentiation tool for ANSI-C. Preprint ANL/MCS-P626-1196, Argonne National Laboratory, Argonne, IL.
Blouin, V.Y., H.B, Samuels, G.M, Fadel, I.U, Haque, and J.R, Wagner, 2004. Continuously variable transmission design for optimum vehicle performance by analytical target cascading. International Journal of Heavy Vehicle Systems, vol. 11, no. 3–4, pp. 327–348.
Borel, E., 1921. La theorie du jeu et les equations integrals a noyau symetrique gauche. Comptes Rendus de L'Académie des Sciences, vol. 173, pp. 1304–1308.
Box, M.J., D, Davies, and W.H, Swann, 1969. Nonlinear Optimization Techniques. Oliver and Boyd, Edinburgh.
Bracken, J., and G.P, McCormick, 1967. Selected Applications of Nonlinear Programming. Wiley, New York, NY.
Braun, R.D., 1996. Collaborative optimization: an architecture for large-scale distributed design. PhD dissertation, Dept. of Aerospace Engineering, Stanford University, Stanford, CA.
Braun, R.D., P.J, Gage, I.M, Kroo, and I.P, Sobieski, 1996. Implementation and performance issues in collaborative optimization. Proc. 6th AIAA/USAF/NASA/ISSMO Multidisciplinary Analysis and Optimization Symp., Sept. 1996, paper AIAA-1996- 4017.
Brent, R.P., 1973. Algorithms for Minimization without Derivatives. Prentice Hall, Englewood Cliffs, NJ.
Brooks, S., A, Gelman, L.J, Galin, and X.-L., Meng (eds.), 2011. Handbook of Markov Chain Monte Carlo. Chapman and Hall/CRC Press, Boca Raton, FL.
Broyden, C.G., 1970. The convergence of a class of double rank minimization algorithms: parts I and II. Journal of the Institute of Mathematics and its Application, vol. 6, pp. 76–90. 222–231.
R.B, Schnabel, and G.A, Shultz, 1987. A trust region algorithm for nonlinearly constrained optimization. SIAM Journal of Numerical Analysis, vol. 24, no. 5, pp. 1152–1170.
Carmichael, D.G., 1982. Structural Modeling and Optimization. Halsted Press, New York, NY.
Carnahan, B., H.A, Luther, and J.O, Wilkes, 1969. Applied Numerical Methods. Wiley, New York, NY.
Carroll, R.K., and G.E, Johnson, 1988. Approximate equations for the AGMA Jfactor. Mechanisms and Machine Theory, vol. 23, no. 6, pp. 449–450.
Chan, K-Y., 2006. Monotonicity, activity and sequential linearizations in probabilistic design optimization. PhD dissertation, Dept. of Mechanical Engineering, University of Michiga., 2006. Monotonicity, activity and sequential linearizations in probabilistic design optimization. PhD dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Chang, C., and C, Lin, 2011. LIBSVM: a library for support vector machines. ACMTransactions on Intelligent Systems and Technology (TIST), vol. 2, no. 3, p. 27.
Chapman, C., K, Saitou, and M, Jakiela, 1994. Genetic algorithms as an approach to configuration and topology design. ASME Journal of Mechanical Design, vol. 116, pp. 1005–1012.
Chirehdast, M.H.C. Gea, N, Kikuchi, and P.Y, Papalambros, 1994. Structural configuration examples of an integrated optimal design process. ASME Journal of Mechanical Design, vol. 116, no. 4, pp. 997–1004.
Choudhary, R., 2003. A hierarchical optimization framework for simulation-based architectural design. PhD dissertation, College of Architecture and Urban Planning, University of Michigan, Ann Arbor, MI.
Choudhary, R., A, Malkawi, and P.Y, Papalambros, 2005. Analytic target cascading in simulation-based building design. Automation in Construction, vol. 14, no. 4, pp. 551–568.
Clarke, F.H., 1973. Necessary conditions for nonsmooth problems in optimal control and the calculus of variations. Doctoral dissertation, Dept. of Mathematics, University of Washington, Seattle, WA.
Clerc, M., and J, Kennedy, 2002. The particle swarm – explosion, stability, and convergence in a multidimensional complex space. IEEE Transactions on Evolutionary Computation, vol. 6, no. 1, pp. 58–73.
Conn, A.R., N.I.M, Gould, and Ph. L, Toint, 1992. LANCELOT: A FORTRAN Package for Large-scale Nonlinear Optimization (Release A). Springer, Berlin.
Conn, A.R., K, Scheinberg, and L.N, Vicente, 2009. Introduction to Derivative-Free Optimization, MOS-SIAM Series on Optimization, SIAM, Philadelphia, PA.
Cramer, E.J., Jr., J.E, Dennis, P.D, Frank, R.M, Lewis, and G.R, Shubin, 1994. Problem formulation for multidisciplinary optimization. SIAM Journal on Optimization, vol. 4, no. 4, pp. 754–776.
Crane, R.L., K.E, Hillstrom, and M, Minkoff, 1980. Solution of the General Nonlinear Programming Problem with Subroutine VMCON. Report ANL-80-64, Argonne National Laboratory, Argonne, IL.
Cressie, N., 1988. Spatial prediction and ordinary kriging. Mathematical Geology, vol. 20, no. 4, pp. 405–421.
Cressie, N., 1990. The origins of kriging. Mathematical Geology, vol. 22, no. 3, pp. 239–252.
Cristianini, N., and J. Shawe-Taylor, 2000. An Introduction to Support Vector Machines and other Kernel-based Learning Methods. Cambridge University Press, Cambridge.
Daft, R.L., 2013. Organization Theory and Design, 11th edn. South-Western Cengage Learning, Mason, OH.
Dahlquist, G., and A, Bjorck, 1974. Numerical Methods. Prentice Hall, Englewood Cliffs, NJ.
Dantzig, G.B., 1963. Linear Programming and Extensions. Princeton University Press, Princeton, NJ.
Dantzig, G.B., and M, Thapa, 2003. Linear Programming 2: Theory and Extensions. Springer, Berlin.
Dantzig, G., and P, Wolfe, 1960. Decomposition principles for linear programming. Operations Research, vol. 8, pp. 101–111.
Davidon, W.C., 1959. Variable Metric Method for Minimization. US Atomic Energy Commission Research and Development Report no. ANL-5990, Argonne National Laboratory, Argonne, IL.
Davis, L (ed.), 1991. Handbook of Genetic Algorithms. Van Nostrand Reinhold, New York, NY.
Deb, K., 1995. Optimization Methods for Engineering Design, 2nd edn. Prentice Hall, New Delhi.
Deb, K., 1999. Multi-objective genetic algorithms: problem difficulties and construction of test problem. Journal of Evolutionary Computation, vol. 7, no. 3, pp. 205–230.
Deb, K., 2001. Multi-Objective Optimization using Evolutionary Algorithms. Wiley, Chichester.
DebK.A, Pratap, S, Agarwal, and T.A, Meyarivan, 2002.Afast and elitistmultiobjective genetic algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation, vol. 6, no. 2, pp. 182–197.
Dede, E.M., J, Lee, and T, Nomura, 2014. Multiphysics Simulation: Electromechanical System Applications and Optimization. Springer, London.
Dimarogonas, A.D., 1989. Computer Aided Machine Design. Prentice Hall International, Hemel Hempstead, UK.
Dixon, L.C. W. (ed.), 1976. Optimization in Action. Academic Press, London.
Dixon, L.C.W., E, Spedicato, and G.P, Szego (eds.), 1980. Nonlinear Optimization – Theory and Algorithms. Birkhauser, Boston, MA.
Dobmann, M., M, Liepelt, and K, Schittkowski, 1994. Algorithm 746: PCOMP: a FORTRAN code for automatic differentiation. ACM Transactions on Mathematical Software, vol. 21, no. 3, pp. 233–266.
Draper, N.R., and H, Smith, 1981. Applied Regression Analysis. Wiley, New York, NY.
Duffin, R.J., E.L, Peterson, and C, Zener, 1967. Geometric Programming.Wiley, New York, NY.
Dym, C.L., and E.S, Ivey, 1980. Principles of Mathematical Modeling. Academic Press, New York, NY.
Edgeworth, F.Y., 1881, Mathematical Physics, P Keagan, London.
El-Alem, M.M., 1988. A global convergence theory for a class of trust region algorithms for constrained optimization. Doctoral dissertation, Dept. of Mathematical Sciences, Rice University, Houston, TX.
Eppinger, S.D., and T.R, Browning, 2012. Design Structure Matrix Methods and Applications. MIT Press, Cambridge, MA.
Eschenauer, H., 1997. Applied Structural Mechanics: Fundamentals of Elasticity, Load-Bearing Structures, Structural Optimization: Including Exercises. Springer, Berlin.
Eschenauer, H., J, Koski, and A., Osyczka (eds.), 1990. Multicriteria Design Optimization. Springer, Berlin.
Evtushenko, Y.G., 1985. Numerical Optimization Techniques. Optimization Software, Inc., New York, NY.
Fathy, H.K., 2003. Combined plant and control optimization: theory, strategies and applications. PhD dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor.
Fermi, E., and N, Metropolis, 1952. Numerical Solution of a Minimum Problem. Los Alamos Unclassified Report LA1492, Los Alamos National Laboratory, Los Alamos, NM.
Fiacco, A.V., and G.P, McCormick, 1968. Nonlinear Programming: Sequential Unconstrained Minimization Techniques. Wiley, New York, NY.
Fletcher, R., 1970. A new approach to variable metric algorithms. Computer Journal, vol. 13, pp. 317–322.
Fletcher, R., 1971.Ageneral quadratic programming algorithm. Journal of the Institute of Mathematics and its Applications, vol. 7, pp. 76–91.
Fletcher, R., 1980. Practical Methods of Optimization, Vol. 1: Unconstrained Optimization. John Wiley & Sons, Chichester.
Fletcher, R., 1981. Practical Methods of Optimization, Vol. 2: Constrained Optimization. John Wiley & Sons, Chichester.
Fletcher, R., 1982. Methods for nonlinear constraints. In Nonlinear Optimization 1981 (M.J.D, Powell, ed.). Academic Press, New York, NY, pp. 185– 212.
Fletcher, R., 2000. Practical Methods of Optimization, 2nd edn. John Wiley & Sons, Chichester.
Fletcher, R., andM.J.D, Powell, 1963. A rapidly convergent descent method for minimization. Computer Journal, vol. 6, pp. 163–168.
Fleury, C., 1982. Reconciliation of mathematical programming and optimality criteria methods. In Foundations of Structural Optimization: AUnified Approach (A.J, Morris, ed.). Wiley, Chichester, pp. 363–404.
Fleury, C., and V, Breibant, 1986. Structural optimization: a new dual method using mixed variables. International Journal for Numerical Methods in Engineering, vol. 23, pp. 409–428.
Floudas, C., 1995. Nonlinear and Mixed-Integer Optimization. Oxford University Press, New York, NY.
Fonseca, C.M., and P.J, Fleming, 1993. Genetic algorithms for multiobjective optimization: formulation, discussion and generalization. In Genetic Algorithms: Proc. Fifth Int. Conf. (S, Forrest, ed.), San Mateo, CA. Morgan Kaufman, San Francisco, CA.
Fowler, A.C., 1997. Mathematical Models in the Applied Sciences. Cambridge University Press, New York, NY.
Fox, R.L., 1971. Optimization Methods for Engineering Design. Addison-Wesley, Reading, MA.
Friedman, L.W., 1996. The Simulation Metamodel. Kluwer Academic Publishers, Norwell, MA.
Frischknecht, B.D., D, Peters, and P.Y, Papalambros, 2011. Pareto set analysis: local measures of objective coupling in multiobjective design optimization. Structural & Multidisciplinary Optimization, vol. 43, no. 5, pp. 617–630.
Gajda, W.J., and W.E, Biles, 1979. Engineering: Modeling and Computations. Houghton Mifflin, Boston, MA.
Gill, P.E., and W, Murray, 1972. Quasi-Newton methods for unconstrained optimization. Journal of the Institute of Mathematics and its Applications, vol. 9, pp. 91–108.
Gill, P.E., and W, Murray, 1974. Numerical Methods for Constrained Optimization. Academic Press, London.
Gill, P.E., W, Murray, and M.H, Wright, 1981. Practical Optimization. Academic Press, London.
Glover, F., and M, Laguna, 1997. Tabu Search. Kluwer Academic Publishers, Boston, MA.
Goldberg, D., 1989. Genetic Algorithms in Search, Optimization, and Machine Learning. Addison Wesley, Reading, MA.
Goldfarb, D., 1970. A family of variable metric methods derived by variational means. Mathematics of Computation, vol. 24, pp. 23–26.
Goldfarb, D., and A, Idnani, 1983. A numerically stable dual method for solving strictly convex quadratic programs. Mathematical Programming, vol. 27, pp. 1–33.
Goldstein, A.A., 1965. On steepest descent. SIAM Journal on Control, vol. 3, pp. 147–151.
Griewank, A., D, Juedes, and J, Utke, 1996. ADOL-C: a package for the automatic differentiation of algorithms written in C/C++. ACM Transactions on Mathematical Software, vol. 22, no. 2, pp. 131–167.
Haftka, R., 1984. An improved computational approach for multilevel optimum design. Journal of Structural Mechanics, vol. 12, no. 2, pp. 245–261.
Haftka, R.T., and M.P, Kamat, 1985. Elements of Structural Optimization. Martinus Nijhoff, Dordrecht.
Haftka, R., J., Sobieszczanski-Sobieski, and S.L, Padula. 1992. On options for interdisciplinary analysis and design optimization. Structural Optimization, vol. 4, no. 2, pp. 65–74.
Hagan, M.T., H.B, Demuth, and M.H, Beale, 1996. Neural Network Design. PWS Publishing Company, Boston, MA.
Hajela, P., 1990. Genetic search – an approach to the nonconvex optimization problem. AIAA Journal, vol. 28, no. 7, pp. 1205–1210.
Hamza, K., and M, Shalaby, 2014. A framework for parallelized efficient global optimization with application to vehicle crashworthiness optimization. Engineering Optimization, vol. 46, no. 9, pp. 1200–1221.
Han, J.W., 2008. Sequential linear programming coordination strategy for deterministic and probabilistic analytical target cascading. PhD dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Han, J.W., and P.Y, Papalambros, 2010. A note on the convergence of analytical target cascading with infinite norms. Journal of Mechanical Design, vol. 132, no. 3, pp. 034502-1–6.
Han, S.P., 1976. Superlinearly convergent variable metric algorithms for general nonlinear programming problems. Mathematical Programming, vol. 11, pp. 263–282.
Hancock, H., 1917. Theory of Maxima and Minima. (Reprinted 1960.) Dover, New York, NY.
Hansen, N., S, Muller, and P, Koumoutsakos, 2003. Reducing the time complexity of the derandomized evolution strategy with covariance matrix adaptation (CMA-ES). Evolutionary Computation, vol. 11, no. 1, p. 118.
Hansen, P., B, Jaumard, and S.H, Lu, 1989a. Some further results on monotonicity in globally optimal design. ASME Journal of Mechanisms, Transmissions and Automation in Design, vol. 111, no. 3, pp. 345–352.
Hansen, P., B, Jaumard, and S.H, Lu, 1989b. A framework for algorithms in globally optimal design. ASME Journal of Mechanisms, Transmissions and Automation in Design, vol. 111, no. 3, pp. 353–360.
Hansen, P., B, Jaumard, and S.H, Lu, 1989c. An automated procedure for globally optimal design. ASME Journal of Mechanisms, Transmissions and Automation in Design, vol. 111, no. 3, pp. 360–366.
Hassani, B., and E, Hinton, 1999. Homogenization and Structural Topology Optimization: Theory, Practice and Software. Springer, London.
Hastie, T., R, Tibshirani, and J, Friedman, 2009. The Elements of Statistical Learning: Data Mining, Inference, and Prediction. Springer, New York, NY.
Haug, E.J., and J.S, Arora, 1979. Applied Optimal Design. Wiley-Interscience, New York, NY.
Hazelrigg, G.A., 1996. Systems Engineering: An Approach to Information-Based Design. Prentice Hall, Upper Saddle River, NJ.
Hestenes, M.R., 1980. Conjugate Direction Methods in Optimization. Springer, Heidelberg.
Heywood, J.B., 1998. Internal Combustion Engine Fundamentals. McGraw-Hill, New York, NY.
Hillier, F.S., and G.J, Lieberman, 1967. Introduction to Operations Research. Holden- Day, San Francisco, CA.
Himmelblau, D.M. (ed.), 1973. Decomposition of Large-Scale Problems. Elsevier, New York, NY.
Hock, W., and K, Schittkowski, 1981. Test Examples for Nonlinear Programming Codes. Lecture Notes in Economics and Mathematical Systems, 187. Springer, New York, NY.
Holland, J., 1975. Adaptation in Natural and Artificial Systems, 1st edn. MIT Press, Cambridge, MA.
Hooke, R., and T.A, Jeeves, 1961. Direct search solution of numerical and statistical problems. Journal of the Association for Computing Machinery, vol. 8, no. 2, pp. 212–229.
Hornbeck, R.W., 1975. Numerical Methods. Quantum Publishers, New York, NY.
Horst, R., P.M, Pardalos, and N.V, Thoai, 1995. Introduction to Global Optimization. Kluwer Academic Publishers, Dordrecht.
Horst, R., and H, Tuy, 1990. Global Optimization – Deterministic Approaches. Springer, Berlin.
Hsu, Y.L., 1993. Notes on interpreting monotonicity analysis using Karush-Kuhn- Tucker conditions and MONO: a logic program for monotonicity analysis. In Advances in Design Automation 1993 (B.J, Gilmore, D.A, Hoeltzel, S, Azarm, and H.A, Eschenauer, eds.), vol. 2. ASME, New York, NY, pp. 243–252.
Huang, D., T.T, Allen, W.I, Notz, and R.A, Miller, 2006. Global optimization of stochastic black-box systems via sequential kriging meta-models. Journal of Global Optimization, vol. 34, no. 3, pp. 441–466.
Hulme, K.F., and C.L, Bloebaum, 2000. Simulation-based comparison of multidisciplinary design optimization solution strategies using cascade. Structural and Multidisciplinary Optimization, vol. 19, no. 1, pp. 17–35.
Huyer, W., and A, Neumaier, 1999. Global optimization by multilevel coordinate search. Journal of Global Optimization, vol. 14, no. 4, pp. 331–355.
Ignizio, J.P., 1976. Goal Programming and Extensions. Heath, Boston, MA.
Incropera, F.P., and D.P, DeWitt, 2002. Introduction to Heat Transfer. JohnWiley and Sons, New York, NY.
Jacoby, S.L. S., and J.S, Kowalik, 1980. Mathematical Modeling with Computers. Prentice Hall, Englewood Cliffs, NJ.
Jaluria, Y., 2007. Design and Optimization of Thermal Systems, 2nd edn. CRC Press, Boca Raton, FL.
Janna, W.S., 1993. Design of Fluid Thermal Systems. PWS Publishing Company, Boston, MA.
Jaeger, H.M., M.Z, Miskin, and S.R, Waitukaitis, 2013. From nanoscale cohesion to macroscale entanglement: opportunities for designing granular aggregate behavior by tailoring grain shape and interactions. Powders & Grains, vol. 3, no. 6, pp. 3–6.
Jelen, F.C., 1970. Cost and Optimization Engineering. McGraw-Hill, New York, NY.
Jiang, T., 1996. Topology optimization of structural systems using convex approximation methods. Doctoral dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Jin, R., W, Chen, and T.W, Simpson, 2001. Comparative studies of metamodelling techniques undermultiple modelling criteria. Structural and Multidisciplinary Optimization, vol. 23, no. 1, pp. 1–13.
Johnson, R.C., 1961. Optimum Design of Mechanical Elements, 1st edn. Wiley- Interscience, New York, NY.
Johnson, R.C., 1980. Optimum Design of Mechanical Elements, 2nd edn. Wiley- Interscience, New York, NY.
Johnson, R.C., 1971. Mechanical Design Synthesis with Optimization Applications. Van Nostrand Reinhold, New York, NY.
Jones, C.V., 1996. Visualization and Optimization. Kluwer, Norwell, MA.
Jones, D.R., 2001. Direct global optimization algorithm. In Encyclopedia of Optimization (C.A, Floudas and P.M, Pardalos, eds.). Springer US, Boston, MA, pp. 431– 440.
Jones, D.R., 2009. DIRECT global optimization algorithm. In Encyclopedia of Optimization (C.A, Floudas and P.M, Pardalos, eds.), 2nd edn. Springer, Berlin, pp. 725–735.
Jones, D.R., C.D, Perttunen, and B.E, Stuckman, 1993. Lipschitzian optimization without the Lipschitz constant. Journal of Optimization Theory and Applications, vol. 79, no. 1, pp. 157–181.
Jones, D.R., M, Schonlau, and J.W, Welch, 1998. Efficient global optimization of expensive black-box functions. Journal of Global Optimization, vol. 13, no. 4, pp. 455–492.
Juvinall, R.C., 1983. Fundamentals of Machine Component Design.Wiley, New York, NY.
Kahraman, A., H, Ligata, K, Kienzle, and D, Zini, 2004. A kinematics and power flow analysis methodology for automatic transmission planetary gear trains. Journal of Mechanical Design, vol. 126, no. 6, pp. 1071–1081.
Kamat, M.P. (ed.), 1993. Structural Optimization: Status and Promise. AIAA, Washington D.C.
Kang, N., 2014. Multidomain demand modeling in design for market systems. PhD dissertation, Design Science Program, University of Michigan, Ann Arbor, MI.
Kang, N., M, Kokkolaras, P.Y, Papalambros, J, Park, W, Na, S, Yoo, and D, Featherman, 2014. Optimal design of commercial vehicle systems using analytical target cascading. Structural and Multidisciplinary Optimization, vol. 50, no. 6, pp. 1103–1114.
Karush, W., 1939. Minima of functions of several variables with inequalities as side conditions. MS thesis, Dept. of Mathematics, University of Chicago, Chicago, IL.
Kennedy, J., 1999. Small worlds and mega-minds: effects of neighborhood topology on particle swarm performance. Proc. 1999 IEEE Congress on Evolutionary Computation, Washington D.C., July 6–9, 1999. IEEE, Piscataway, NJ, vol. 3, pp. 1931– 1938.
Kennedy, J., and R, Mendes, 2002. Population structure and particle swarm performance. Proc. 2002 IEEE Congress on Evolutionary Computation, Honolulu, HI, May 12–17, 2002. IEEE, Piscataway, NJ, vol. 2, pp. 1671–1676.
Kennedy, J., and W.M, Spears, 1998. Matching algorithms to problems: an experimental test of the particle swarm and some genetic algorithms on the multimodal problem generator. Proc. 1998 IEEE Conf. Evolutionary Computation, Anchorage, AK, May 5–9, 1998. IEEE, Piscataway, NJ, pp. 78–83.
Kim, H.M., 2001. Target cascading in optimal system design. PhD dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Kim, H.M., N.F., Michelena P.Y, Papalambros, and T, Jiang, 2000. Target cascading in optimal system design. ASME Journal of Mechanical Design, vol. 125, no. 3, pp. 474–480.
Kim, H.M., D.G, Rideout, P.Y, Papalambros, and J.L, Stein, 2003. Analytical target cascading in automotive vehicle design. Journal of Mechanical Design, vol. 125, no. 3, pp. 481–489.
Kirsch, U., 1981. Optimum Structural Design. McGraw-Hill, New York, NY.
Kirsch, U., 1993. Structural Optimization: Fundamentals and Applications. Springer, Berlin.
Klamkin, M.S. (ed.), 1987. Mathematical Modelling: Classroom Notes in Applied Mathematics. SIAM, Philadelphia, PA.
Koenigsberger, F., 1965. Design Principles of Metal Cutting Machine Tools. Macmillan, New York, NY.
Kokkolaras, M., L.S, Louca, G.J, Delagrammatikas, et al. 2004. Simulationbased optimal design of heavy trucks by model-based decomposition: an extensive analytical target cascading case study. International Journal of Heavy Vehicle Systems, vol. 11, no. 3–4, pp. 403-433.
Kokkolaras, M., Z.P, Mourelatos, and P.Y, Papalambros, 2006. Design optimization of hierarchically decomposed multilevel systems under uncertainty. Journal of Mechanical Design, vol. 128, no. 2, pp. 503–508.
Kolda, T.G., R.M, Lewis, and V, Torczon, 2003. Optimization by direct search: new perspectives on some classical and modern methods. SIAM Review, vol. 45, no. 3, pp. 385–482.
Koski, J., 1985. Defectiveness in weighting method in multicriteria optimization of structures. Communications in Applied Numerical Methods, vol. 1, pp. 333–337.
Kouvelis, P., and G, Yu, 1997. Robust Discrete Optimization and Its Applications. Kluwer Academic Publishers, Dordrecht.
Koza, J.R., F.H. Bennett III, D, Andre, M.A, Keane, and F, Dunlap, 1997. Automated synthesis of analog electrical circuits by means of genetic programming. IEEE Transactions on Evolutionary Computation, vol. 1, no. 2, pp. 109–128.
Krishnamachari, R., 1996. A decomposition synthesis methodology for optimal systems design. PhD dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Kuhn, H.W., and A.W, Tucker, 1951. Nonlinear programming. In Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability (J, Neyman, ed.). University of California Press, Berkeley, CA.
Kusiak, A., 1992. Intelligent Design and Manufacturing. John Wiley & Sons, New York, NY.
Kusiak, A., and N, Larson, 1995. Decomposition and representation methods in mechanical design. Journal of Mechanical Design, vol. 117, no. B, p. 1724.
Lasdon, L., 1968. Duality and decomposition in mathematical programming. IEEETransactions on Systems Science and Cybernetics, vol. 4, no. 2, pp. 86–100.
Lasdon, L.S., 1970. Optimization Theory for Large Systems. Macmillan, New York, NY.
Lasdon, L.S., A.D, Warren, A, Jain, and M, Ratner, 1978. Design and testing of a generalized reduced gradient code for nonlinear programming. ACM Transactions on Mathematical Software, vol. 4, no. 1, pp. 35–50.
Lassiter, J.B., M.M, Wiecek, and K.R, Andrighetti, 2005. Lagrangian coordination and analytical target cascading: solving ATC-decomposed problems with Lagrangian duality. Optimization and Engineering, vol. 6, no. 3, pp. 361–381.
Law, A.M., andW.D, Kelton, 1991. SimulationModeling and Analysis. McGraw-Hill, New York, NY.
Lawson, C.L., and R.J, Hanson, 1995. Solving Least Squares Problems. SIAM, Philadelphia, PA.
Le Digabel, S., and C, Tribes, 2013. The Nomad software for blackbox optimization. The GERAD Newsletters (Software), vol. 9, no. 2, p. 6. Available at https://www.gerad.ca/nomad
Leitman, G., 1962. Optimization Techniques with Applications to Aerospace Systems. Academic Press, New York, NY.
Lev, O.E. (ed.), 1981. Structural Optimization – Recent Developments and Applications. ASCE, New York, NY.
Levenberg, K., 1944. A method for the solution of certain nonlinear problems in least squares. Quarterly Journal of Applied Mathematics, vol. 2, pp. 164–168.
Lewis, R.M., V, Torczon, and M.W, Trosset, 2000. Direct search methods: then and now. Journal of Computational and Applied Mathematics, vol. 124, no. 1, pp. 191–207.
Li, Y., Z, Lu, and J.J, Michalek, 2008a. Diagonal quadratic approximation for parallelization of analytical target cascading. Journal of Mechanical Design, vol. 130, no. 5, pp. 051402-1–11.
Li, Z., M, Kokkolaras, P, Papalambros, and S, Hu, 2008b. Product and process tolerance allocation in multi-station compliant assembly using analytical target cascading. Journal of Mechanical Design, vol. 130, no. 9, pp. 091701-1–9.
Liu, G.P., J.B, Yang, and J.F, Whidborne, 2003. Multiobjective Optimisation and Control. Research Studies Press, Baldock.
Liu, H., W, Chen, M, Kokkolaras, P.Y, Papalambros, and H.M, Kim, 2006. Probabilistic analytical target cascading – a moment matching formulation for multilevel optimization under uncertainty. Journal of Mechanical Design, vol. 128, no. 4, pp. 991–1000.
Lootsma, F.A., 1984. Performance Evaluation of Nonlinear OptimizationMethods via Pairwise Comparison and Fuzzy Numbers. Report no. 84-40, Dept. of Mathematics and Informatics, Delft University of Technology, Delft.
Lootsma, F.A., 1985. Comparative performance evaluation, experimental design, and generation of test problems in nonlinear optimization. In Computational Mathematical Programming (K, Schittkowski, ed.). NATO ASI Series F, vol. 15, Springer, Berlin, pp. 249–260.
Lootsma, F.A., 1997. Fuzzy Logic for Planning and Decision Making. Kluwer Academic Publishers, Dordrecht.
Luenberger, D.G., 1973. Introduction to Linear and Nonlinear Programming, 1st edn. Addison Wesley, Reading, MA.
Luenberger, D.G., 1984. Introduction to Linear and Nonlinear Programming, 2nd edn. Addison Wesley, Reading, MA.
Luenberger, D.G., and Y, Ye, 2008. Linear and Nonlinear Programming, 3rd edn. Springer Science+Business Media, New York, NY.
McDowell, D.L., J, Panchal, H.J, Choi, C, Seepersad, J, Allen, and F, Mistree, 2010. Integrated Design of Multiscale, Multifunctional Materials and Products. Butterworth-Heinemann, Elsevier, Oxford.
Maciel, M.C., 1992. A global convergence theory for a general class of trust region algorithms for equality constrained optimization. Doctoral dissertation, Dept. of Computational and Applied Mathematics, Rice University, Houston, TX.
McGowan, A.M. R., 2014. Interdisciplinary interactions during R&Dand early design of large engineered Systems. PhD dissertation, Design Science Program, University of Michigan, Ann Arbor, MI.
McKinnon, K.I. M., 1998. Convergence of the Nelder–Mead simplex method to a nonstationary point. SIAM Journal on Optimization, vol. 9, no. 1, pp. 148–158.
Makela, M.M., 2002. Survey of bundle methods for nonsmooth optimization. Optimization Methods and Software, vol. 17, no. 1, pp. 1–29.
Malikopoulos, A.A., 2008. Real-time, self-learning identification and stochastic optimal control of advanced powertrain systems. PhD dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Malikopoulos, A.A., 2013. Impact of component sizing in plug-in hybrid electric vehicles for energy resource and greenhouse emissions reduction. Journal of Energy Resources Technology, vol. 135, no. 4, pp. 041201–041209.
Mangasarian, O.L., 1969. Nonlinear Programming. Krieger, New York, NY. (Reproduced by SIAM in its Classics series in 1994.)
Marquardt, D.W., 1963. An algorithm for least-squares estimation of nonlinear parameters. Journal of the Society for Industrial and Applied Mathematics, vol. 11, no. 2, pp. 431–441.
Martins, J.R., and A.B, Lambe, 2013. Multidisciplinary design optimization: a survey of architectures. AIAA Journal, vol. 51, no. 9, pp. 2049–2075.
Matlab, 1997. Matlab: The Neural Net Toolbox. MathWorks, Natick, MA. http://www.mathworks.com/products/matlab/
Mendes, R., 2004. Population topologies and their influence in particle swarm performance. PhD dissertation, Universidade do Minho, Braga.
Michalek, J., 2005. Preference coordination in engineering design decision-making. PhD dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Michalek, J.J., and P.Y, Papalambros, 2005. An efficient weighting update method to achieve acceptable consistency deviation in analytical target cascading. Journal of Mechanical Design, vol. 127, no. 2, pp. 206–214.
Michalek, J.J., F.M, Feinberg, and P.Y, Papalambros, 2005. Linking marketing and engineering product design decisions via analytical target cascading. Journal of Product Innovation Management: Special Issue on Design and Marketing in New Product Development, vol. 22, pp. 42–62.
Michelena, N.F., and P.Y, Papalambros, 1997. A hypergraph framework for optimal model-based decomposition of design problems. Computational Optimization and Applications, vol. 8, no. 2, pp. 173–196.
Michelena, N., H.M, Kim, and P.Y, Papalambros, 1999. A system partitioning and optimization approach to target cascading. Proc. 12th Int. Conf. Engineering Design, Munich, Germany, Aug. 24–26, 1999, vol. 2, pp. 1109–1112.
Michelena, N., H, Park, and P.Y, Papalambros, 2003. Convergence properties of analytical target cascading. AIAA Journal, vol. 41, no. 5, pp. 897–905.
Mickle, M. J., and T.W, Sze, 1972. Optimization in Systems Engineering. International Textbook, Philadelphia, PA.
Middendorf, W.H., and R.H, Engelmann, 1997. Design of Devices and Systems, 3rd edn. Marcel Dekker, New York, NY.
Miele, A. (ed.), 1965. Theory of Optimum Aerodynamic Shapes. Academic Press, New York, NY.
Mistree, F., W.F, Smith, and B.A, Bras, 1993. A decision-based approach to concurrent engineering. In Handbook of Concurrent Engineering (H.R, Paresai and W, Sullivan, eds.). Chapman and Hall, New York, NY, pp. 127–158.
More, J., and S.J, Wright, 1993. Optimization Software Guide. SIAM, Philadelphia, PA.
Morris, A.J. (ed.), 1982. Foundations of Structural Optimization: A Unified Approach. Wiley, Chichester.
Mulvey, J.M. (ed.), 1981. Evaluating Mathematical Programming Techniques. Lecture Notes in Economics and Mathematical Systems 199. Springer, Berlin.
Murty, K.G., 1983. Linear Programming. Wiley, New York, NY.
Murty, K.G., 1986. Linear Complementarity, Linear and Nonlinear Programming. Heldermann Verlag, West Berlin.
Nelder, J.A., and R, Mead, 1965. A simplex method for function minimization. Computer Journal, vol. 7, pp. 308–313.
Nelson, S.A., II, 1997. Optimal hierarchical system design via sequentially decomposed programming. Doctoral dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Nemhauser, G.L., and L.A, Wolsey, 1988. Integer and Combinatorial Optimization. Wiley-Interscience, New York, NY.
Nikolaidis, E.Z.P.Mourelatos, and V, Pandey, 2011. Design Decisions under Uncertainty with Limited Information. CRC Press, Taylor and Francis, Boca Raton, FL.
Noble, B., 1969. Applied Linear Algebra. Prentice Hall, Englewood Cliffs, NJ. Noesis Solutions Optimus, 1998. Original software accessed in 1998; currently available at http://www.noesissolutions.com/Noesis/
Nwosu, N., 1998. Object-oriented optimization using convex approximations.MS thesis, Dept. of Mechanical Engineeering, University of Michigan, Ann Arbor, MI.
Olhoff, N., and G.I.N, Rozvany (eds.), 1995. Proceedings of the FirstWorld Congress on Structural and Multidisciplinary Optimization. Pergamon-Elsevier, Oxford.
Onwubiko, C.O., 2000. Introduction to Engineering Design Optimization. Prentice Hall, Upper Saddle River, NJ.
Ortega, J.M., and W.C, Rheinboldt, 1970. Iterative Solution of Nonlinear Equations in Several Variables. Academic Press, New York, NY.
Osyczka, A., 1984. Multicriteria Optimization in Engineering. Wiley, New York, NY.
Pakala, R., 1994. A study on applications of Stackelberg game strategies in concurrent design models. Doctoral dissertation, University of Houston, Houston, TX.
Pan, J., and A.R, Diaz, 1990. Some results in optimization of non-hierarchic systems. Journal of Mechanical Design, vol. 112, no. 3, pp. 399–405.
Papalambros, P., 1979. Monotonicity analysis in engineering design optimization. PhD dissertation, Design Division, Dept, of Mechanical Engineering, Stanford University, Stanford, CA.
Papalambros, P., 1988. Codification of semiheuristic global processing of optimal design models. Engineering Optimization, vol. 13, pp. 464–471.
Papalambros, P.Y., 1994. Model reduction and verification techniques. In Advances in Design Optimization (H, Adeli, ed.). Chapman and Hall, London.
Papalambros, P.Y., and D.J, Wilde, 1988. Principles of Optimal Design: Modeling and Computation, 1st edn. Cambridge University Press, New York, NY.
Pardalos, P.M., and T.M, Rassias (eds.), 2014. Mathematics Without Boundaries: Surveys in Interdisciplinary Research. Springer, New York, NY.
Pareto, V., 1906. Manuale di Economia Politica. Societa Editrice Libraria, Milan.
Pareto, V., 1971. In Manual of Political Economy (A.S, Schwier and A.N, Page, eds.), trans. A.S, Schweir. Augustus M., Kelley, New York, NY, pp. xii, 504.
Park, H., N, Michelena, D, Kulkarni, and P, Papalambros, 2001. Convergence criteria for hierarchical overlapping coordination of linearly constrained convex design problems. Computational Optimization and Applications, vol. 18, no. 3, pp. 273–293.
Pedregosa, F., G, Varoquaux, A, Gramfort, et al. 2011. Scikit-learn: machine learning in Python. Journal of Machine Learning Research, vol. 12, pp. 2825–2830.
Pelikan, M., 2005. Hierarchical Bayesian Optimization Algorithm, Springer, Berlin.
Peters, D.L., 2010. Coupling and controllability in optimal design and control. PhD dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Pflug, G Ch., 1996. Optimization of Stochastic Models: The Interface Between Simulation and Optimization. Kluwer, Boston, MA.
Pierre, D.A., and M.J, Lowe, 1975. Mathematical Programming via Augmented Lagrangians. Addison Wesley, Reading, MA.
Pinter, J.D., 1996. Global Optimization in Action – Continuous and Lipschitz Optimization: Algorithms, Implementations and Applications. Kluwer Academic Publishers, Dordrecht.
Poli, R., J, Kennedy, and T, Blackwell, 2007. Particle swarm optimization: an overview. Swarm Intelligence, vol. 1, no. 1, pp. 33–57.
Pomrehn, L., 1993. A recursive opportunistic optimization tool for discrete optimal design. Doctoral dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Powell, M.J. D., 1978a. A fast algorithm for nonlinearly constrained optimization calculations. In Numerical Analysis, Dundee 1977 (G.A, Watson, ed.), Lecture Notes in Mathematics 630. Springer, Berlin.
Powell, M.J. D., 1978b. Algorithms for nonlinear constraints that use Lagrangian functions. Mathematical Programming, vol. 14, pp. 224–248.
Powell, M.J. D. (ed.), 1982. Nonlinear Optimization 1981. Academic Press, New York, NY.
Protter, M.H., and C.B, Morey, Jr., 1964. Modern Mathematical Analysis. Addison Wesley, Reading, MA.
Qin, J., G.S, Khaira, Y, Su, et al., 2013. Evolutionary pattern design for copolymer directed self-assembly. Soft Matter, vol. 9, pp. 11 467–11 472.
Rabinowitz, P (ed.), 1970. Numerical Methods for Nonlinear Algebraic Equations. Gordon and Breach, London.
Ragsdell, K.M., andD.T, Phillips, 1976. Optimal design of a class of welded structures using geometric programming. Transactions of the ASME Journal of Engineering for Industry, vol. 98, series B, no. 3, pp. 1021–1025.
Rao, J.J. R., and P, Papalambros, 1991. PRIMA: a production-based implicit elimination system for monotonicity analysis of optimal design models. Transactions of the ASME Journal of Mechanical Design, vol. 113, no. 4, pp. 408–415.
Rao, S.S., 1978. Optimization – Theory and Applications.Wiley Eastern, New Delhi.
Rao, S.S., and S.K, Hati, 1979. Game theory approach in multicriteria optimization of function generating mechanisms. ASME Journal of Mechanical Design, vol. 101, pp. 398–406.
Ratschek, H., and J, Rokne, 1988. New Computer Methods for Global Optimization. Ellis Horwood, Chichester.
Reklaitis, G.V., A, Ravindran, and K.M, Ragsdell, 1983. Engineering Optimization – Methods and Applications. Wiley-Interscience, New York, NY.
Reyer, J., 2000. Combined embodiment design and control optimization: effects of cross-disciplinary coupling. PhD dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Rice, J.R., 1981. Matrix Computations and Mathematical Software. McGraw-Hill, New York, NY.
Rios, L.M., and N.V, Sahinidis, 2013. Derivative-free optimization: a review of algorithms and comparison of software implementations. Journal of Global Optimization, vol. 56, no. 3, pp. 1247–1293.
Ritter, K., 1967. A Decomposition Method for Linear Programming Problems with Coupling Constraints and Variables. Technical Report no. 739, Mathematics Research Center, University of Wisconsin, Madison, WI.
Rohl, P.J., B, He, and P, Finnigan, 1998. A collaborative optimization environment for turbine engine development. Proc. 7th AIAA/USAF/NASA/ISSMO Symp. Multidisciplinary Analysis and Optimization, St. Louis, MO, Sept. 1998, Paper AIAA-98-4734.
Rosen, J.B., 1960. The gradient projection method for nonlinear programming. Part I: Linear constraints. Journal of the Society for Industrial and Applied Mathematics, vol. 8, pp. 181–217.
Rosen, J.B., 1961. The gradient projection method for nonlinear programming. Part II: Nonlinear constraints. Journal of the Society for Industrial and Applied Mathematics, vol. 9, pp. 514–532.
Roubens, M., and P, Vincke, 1985. Preference Modeling. Springer, Berlin.
Roy, B., 1996. MulticriteriaMethodology for Decision Aiding. Kluwer Academic Publishers, Dordrecht.
Rozvany, G., and T, Lewinski, 2013. Topology Optimization in Structural and Continuum Mechanics. Springer, Vienna.
Rubinstein, M. F., 1975. Patterns of Problem Solving. Prentice Hall, Englewood Cliffs, NJ.
Rudd, D.F., G.J, Powers, and J.J, Siirola, 1973. Process Synthesis. Prentice Hall, Englewood Cliffs, NJ.
Russell, D., 1970. Optimization Theory. Benjamin, New York, NY.
Saaty, T.L., 1980. The Analytic Hierarchy Process – Planning, Priority Setting, Resource Allocation. McGraw-Hill, New York, NY.
Saaty, T.L., and J.M, Alexander, 1981. Thinking with Models. Pergamon Press, Oxford.
Sacks, J., W, Welch, W.J, Mitchell, and H.P, Wynn, 1989. Design and analysis of computer experiments. Statistical Science, vol. 4, no. 4, pp. 409–435.
Sahinidis, N.V., 1996. BARON: a general purpose global optimization software package. Journal of Global Optimization, vol. 8, pp. 201–205.
Sahinidis, N.V., 2004. Optimization under uncertainty: state-of-the-art and opportunities. Computers and Chemical Engineering, vol. 28, pp. 971–983.
Sasena, M.J., 1998. Optimization of computer simulations via smoothing splines and kriging metamodels. MSc thesis, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Sasena, M.J., 2002. Flexibility and efficiency enhancements for constrained global design optimization with kriging approximations. Doctoral dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Sasena, M.J., P.Y, Papalambros, and P, Goovaerts, 2001. The use of surrogate modeling algorithms to exploit disparities in function computation time within simulationbased optimization. Proc. 4th Congress on Structural and Multidisciplinary Optimization, Dalian, China, June 4–8, 2001.
Sasena, M.J., P, Papalambros, and G, Goovaerts, 2002. Exploration of metamodeling sampling criteria for constrained global optimization. Engineering Optimization, vol. 34, no. 3, pp. 263–278.
Scales, L.E., 1985. Introduction to Nonlinear Optimization. Springer, New York, NY.
Schaffer, J.D., 1985. Multiple objective optimization with vector evaluated genetic algorithms. In Proc. First Int. Conf. Genetic Algorithms (J.J, Grefenstette, ed.). Lawrence Erlbaum, Mahwah, NJ, pp. 93–100.
Schittkowski, K., 1980. Nonlinear Programming Codes. Lecture Notes in Economics and Mathematical Systems 180. Springer, Berlin.
Schittkowski, K., 1981a. The nonlinear programming method ofWilson, Han and Powell with an augmented Lagrangian type line search function. Part 1: Convergency analysis. Numerische Mathematic, vol. 38, pp. 83–114.
Schittkowski, K., 1981b. The nonlinear programming method of Wilson, Han and Powell with an augmented Lagrangian type line search function. Part 2: An efficient implementation with linear least squares subproblems. Numerische Mathematic, vol. 38, pp. 115–127.
Schittkowski, K., 1983. On the convergence of a sequential quadratic programming method with an augmented Lagrangian line search function. Optimization, Mathematische Operationsforschung und Statistik, vol. 14, pp. 197–216.
Schittkowski, K., 1984. User's Guide for the Nonlinear Programming Code NLPQL. Institut fur Informatik, University of Stuttgart, Stuttgart.
Schittkowski, K (ed.), 1985. Computational Mathematical Programming. NATOASI Series F, vol. 15. Springer, Berlin.
Schittkowski, K., C, Zillober, and R, Zotemantel, 1994. Numerical comparison of nonlinear programming algorithms for structural optimization. Strutural Optimization, vol. 7, no. 1, pp. 1–28.
Schmidt, L.C., and J, Cagan, 1998. Optimal configuration design: an integrated approach using grammars. ASME Journal of Mechanical Design, vol. 120, no. 1, pp. 2–9.
Schneider, G., and U, Fechner, 2005. Computer-based de novo design of drug-like molecules. Nature Reviews Drug Discovery, vol. 4, no. 8, pp. 649–663.
Scholkopf, B., and A.J, Smola, 2001. Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond. MIT Press, Cambridge, MA.
Shanno, D.F., 1970. Conditioning of quasi-Newton methods for function minimization. Mathematics of Computation, vol. 24, pp. 647–656.
Shanno, D.F., and K.-H, Phua, 1978. Matrix conditioning and nonlinear optimization. Mathematical Programming, vol. 14, pp. 149–160.
Shannon, R.E., 1975. Systems Simulation: The Art and Science. Prentice Hall, Englewood Cliffs, NJ.
Shi, Y., and R, Eberhart, 1998. A modified particle swarm optimizer. Evolutionary Computation, Proc. IEEE 1988 World Congress on Computational Intelligence, Anchorage, AK, May 4–9, 1998, pp. 69–73.
Shigley, J.E., and L.D, Mitchel, 1983. Mechanical Engineering Design, 4th edn. McGraw-Hill, New York, NY.
Siddall, J.N., 1972. Analytical Decision-Making in EngineeringDesign. Prentice Hall, Englewood Cliffs, NJ.
Siddall, J.N., 1982. Optimal Engineering Design. Marcel Dekker, New York, NY.
Siddall, J.N., 1983. Probabilistic Engineering Design. Marcel Dekker, New York, NY.
Simpson, T.W., Z, Siddique, and J.R, Jiao, 2006. Product Platform and Product Family Design Methods and Applications. Springer, New York, NY.
Smith, M., 1993. Neural Nets for Statistical Modeling. Van Nostrand Reinhold, New York, NY.
Sobieszczanski-Sobieski, J., 1982. A Linear Decomposition Method for Large Optimization Problems. Blueprint for development, NASA TM 83248, Langley, Hampton, VA.
Sobieszczanski-Sobieski, J., 1988. Optimization by Decomposition: A Step from Hierarchic to Non-hierarchic Systems. NASA TM 101494, Langley Research Center, Hampton, VA.
Sobieszczanski-Sobieski, J., 1990. Sensitivity of complex, internally coupled systems. AIAA Journal, vol. 28, pp. 153–160.
Sobieszczanski-Sobieski, J., and R.T, Haftka, 1997. Multidisciplinary aerospace design optimization: survey of recent developments. Structural Optimization, vol. 14, no. 1, pp. 1–23.
Sobieszczanski-Sobieski, J., J.S, Agte, and R.R, Sandusky, 2000. Bilevel integrated system synthesis. AIAA Journal, vol. 38, no. 1, pp. 164–172.
Soule, T (ed.), 2012. GECCO '12: Proc. 14th Annual Conf. Companion on Genetic and Evolutionary Computation. ACM, New York, NY.
Spiegel, M.R., 1968. Mathematical Handbook of Formulas and Tables. Schaum's Outline Series, McGraw-Hill, New York, NY.
Spunt, L., 1971. Optimum Structural Design. Prentice Hall, Englewood Cliffs, NJ.
Stadler, W., 1979. A survey of multicriteria optimization or the vector maximum problem. Part I: 1776–1960. Journal of Optimization Theory and Application, vol. 29, no. 1, pp. 1–52.
Stark, R.M., and R.L, Nichols, 1972. Mathematical Foundations for Design: Civil Engineering Systems. McGraw-Hill, New York, NY.
Statnikov, R.B., and J.B, Matusov, 1995. Multicriteria Optimization and Engineering. Chapman and Hall, New York, NY.
Steward, D.V., 1965. Partitioning and tearing systems of equations. Journal of the Society for Industrial & AppliedMathematics, Series B: Numerical Analysis, vol. 2, no. 2, pp. 345–365.
Steward, D.V., 1981a. Systems Analysis and Management: Structure, Strategy, Design. Petrocelli Books, San Francisco, CA.
Steward, D.V., 1981b. The design structure system: a method for managing the design of complex systems. IEEE Transactions on EngineeringManagement, vol. 28, no. 3, pp. 71–74.
Stoecker, W.F., 1971. Design of Thermal Systems. McGraw-Hill, New York, NY.
Stoecker, W.F., 1989. Design of Thermal Systems, 3rd edn. McGraw-Hill, New York, NY.
Suykens, J.A., J.P, Vandewalle, and B.L, De Moor, 1996. Artificial Neural Networks for Modelling and Control of Non-Linear Systems. Kluwer Academic Publishers, Boston, MA.
Svanberg, K., 1987. The method of moving asymptotes – a new method for structural optimization. International Journal of Numerical Methods in Engineering, vol. 24, pp. 359–373.
Takahashi, I., 1964. Variable separation principle for mathematical programming. Journal of the Operations Research Society of Japan, vol. 6, no. 1, pp. 82–105.
Taylor, C.F., 1985. The Internal Combustion Engine in Theory and Practice, 2nd edn. MIT Press, Cambridge, MA.
Thareja, R., and R.T, Haftka, 1986. Numerical difficulties associated with using equality constraints to achieve multi-level decomposition in structural optimization. Proc. 27th Structures, Structural Dynamics and Materials Conf., San Antonio, TX, May 19–21, 1986. Technical papers, Part 1 (A86-38801 18-39). American Institute of Aeronautics and Astronautics, New York, NY, pp. 21–28.
Tibshirani, R., 1996. Regression shrinkage and selection via the lasso. Journal of the Royal Statistical Society. Series B (Methodological), vol. 58, no. 1, pp. 267–288.
Tosserams, S., 2008. Distributed optimization for systems design: an augmented Lagrangian coordination method. Doctoral dissertation, Dept. of Mechanical Engineering, Eindhoven University of Technology, Eindhoven.
Tosserams, S., L.F.P, Etman, P.Y, Papalambros, and J.E, Rooda, 2006. An augmented Lagrangian relaxation for analytical target cascading using the alternating directions method of multipliers. Structural and Multidisciplinary Optimization, vol. 31, no. 3, pp. 176–189.
Tosserams, S., L.F.P, Etman, and J.E, Rooda, 2007. An augmented Lagrangian decomposition method for quasi-separable problems in MDO. Structural and Multidisciplinary Optimization, vol. 34, no. 3, pp. 211–227.
Tosserams, S., L.F.P, Etman, and J.E, Rooda, 2008. Augmented Lagrangian coordination for distributed optimal design in MDO. International Journal for Numerical Methods in Engineering, vol. 73, no. 13, pp. 1885–1910.
Tosserams, S., M, Kokkolaras, L.F.P, Etman, and J.E, Rooda, 2010.Anonhierarchical formulation of analytical target cascading. Journal of Mechanical Design, vol. 132, no. 5, p. 051002.
Tsompanakis, Y., N.D, Lagaros, and M., Papadrakakis (eds.), 2008. Structural Design Optimization Considering Uncertainties. CRC Press, Taylor and Francis, Boca Raton, FL.
Ullman, D.G., 1992. The Mechanical Design Process. McGraw-Hill, New York, NY.
Ulrich, K.T., and S.D, Eppinger, 1995. Product Design and Development, 1st edn. McGraw-Hill, New York, NY.
Ulrich, K.T., and S.D, Eppinger, 2011. Product Design and Development, 5th edn. McGraw-Hill, New York, NY.
Unger, E.R., M.G, Hutchison, M. Rais-Rohani, R.T, Haftka, and B, Grossman, 1992. Variable-complexity multidisciplinary design of a transport wing. International Journal of System Automation: Research and Applications (SARA), vol. 2, no. 2, pp. 87–113.
Unkelsbay, K., G.E, Staats, and D.L, Creighton, 1972. Optimal design of pressure vessels. Proc. ASME Petroleum Mechanical Engineering and Pressure Vessels and Piping Conf., New Orleans, LA, Sept. 17–21, 1972, ASME Publication 72-PVP-2. ASME, New York, NY.
Vanderplaats, G.N., 1984. Numerical Optimization Techniques for Engineering Design. McGraw-Hill, New York, NY.
Vanderplaats, G.N., 1999. Numerical Optimization Techniques for Engineering Design, 3rd edn. (with software). Vanderplaats Research and Development, Colorado Springs, CO.
Vecek, N., M, Mernik, and M., Crepinšek, 2014. A chess rating system for evolutionary algorithms: a new method for the comparison and ranking of evolutionary algorithms, Information Sciences, vol. 277, no. 1.
Vincent, T.L., 1983. Game theory as a design tool. Journal of Mechanisms, Transmissions, and Automation in Design, vol. 105, pp. 165–170.
Vincent, T.L., and W.J, Grantham, 1981. Optimality in Parametric Systems. Wiley Interscience, New York, NY.
Von Neumann, J., and O, Morgenstern, 1947. Theory of Games and Economic Behavior, 2nd edn. Princeton University Press, Princeton, NJ.
Wagner, T.C., 1993.Ageneral decompositionmethodology for optimal system design. Doctoral dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Wagner, T.C., and P.Y, Papalambros, 1993a. General framework for decomposition analysis in optimal design. In Advances in Design Automation: Volume 1 (B.J, Gilmore, D.A, Hoeltzel, S, Azarm, and H.A, Eschenauer, eds.). ASME, New York, NY, vol. 65-1, pp. 315–325.
Wagner, T.C., and P.Y, Papalambros, 1993b. Implementation of decomposition analysis in optimal design. In Advances in Design Automation: Volume 2 (B.J, Gilmore, D.A, Hoeltzel, S, Azarm, and H.A, Eschenauer, eds.). ASME, New York, NY, vol. 65-2, pp. 327–335.
Wainwright, S.A., W.D, Biggs, J.D, Currey, and J.M, Gosline, 1982. Mathematical Design in Organisms. Princeton University Press, Princeton, NJ.
Walton, J.W., 1991. Engineering Design: From Art to Practice. West Publishing, St. Paul, MN. Wells Manufacturing Corp., 1999. Making sense of engine airflow. Counterpoint: The Electronic Diagnostic and Driveability Resource, vol. 3, no. 3, pp. 1–3.
Wellstead, P.E., 1979. Introduction to Physical System Modeling. Academic Press, London.
Whitehead, J.W., 2001. Design and performance of derivative-free optimization algorithms used with hybrid electric vehicle simulations.MS thesis, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Whitley, D., 1994. A genetic algorithm tutorial. Statistics and Computing, vol. 4, no. 2, pp. 65–85.
Wilde, D.J., 1975. Monotonicity and dominance in optimal hydraulic cylinder design. Transactions of the ASME Journal of Engineering for Industry, vol. 94, no. 4, pp. 1390–1394.
Wilde, D.J., 1978. Globally Optimal Design. Wiley-Interscience, New York, NY.
Wilde, D.J., and C.S, Beightler, 1967. Foundations of Optimization. Prentice Hall, Englewood Cliffs, NJ.
Williams, H.P., 1978. Model Building in Mathematical Programming. Wiley- Interscience, Chichester.
Wismer, D.A. (ed.), 1971. Optimization Methods for Large-Scale Systems – With Applications. McGraw-Hill, New York, NY.
Wismer, D.A., and R, Chattergy, 1978. Introduction to Non-linear Optimization: A Problem Solving Approach. North-Holland, New York, NY.
Wolfe, P., 1963. Methods of nonlinear programming. In Recent Advances in Mathematical Programming (R.L, Graves, and P, Wolfe, eds.). McGraw-Hill, New York, NY.
Wright, M.H., 2004. The interior-point revolution in optimization: history, recent developments, and lasting consequences. Bulletin of the American Mathematical Society, vol. 42, no. 39.
Wu, B.C., 1991. Optimization-based design of non-hierarchical systems. PhD dissertation, Dept. of Mechanical Engineering, University of Maryland, College Park, MD.
Youn, B.D., and K.K, Choi, 2004. Selecting probabilistic approaches for reliabilitybased design optimization. AIAA Journal, vol. 42, no. 1, pp. 124–131.
Yuan, Y., 1995. On the convergence of a new trust region algorithm. Numerische Mathematik, vol. 70, pp. 515–539.
Zangwill, W.I., 1969. Nonlinear Programming, A Unified Approach. Prentice Hall, Englewood Cliffs, NJ.
Zener, C., 1971. Engineering Design by Geometric Programming.Wiley-Interscience, New York, NY.
Zhou, J.L., and A.L, Tits, 1996. An SQP algorithm for finely discretized continuous minimax problems and other minimax problems with many objective functions. SIAM Journal on Optimization, vol. 6, no. 2, pp. 461–487.
Zitzler, E., K, Deb, and L, Thiele, 2000. Comparison of multiobjective evolutionary algorithms: empirical results. IEEE Journal of Evolutionary Computation, vol. 8, no. 2, pp. 173–195.
Zoutendijk, G., 1960. Methods of Feasible Directions. Elsevier, Amsterdam.