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An Improved Algorithm for a Bicriteria Batching Scheduling Problem

Published online by Cambridge University Press:  11 February 2013

Cheng He
Affiliation:
School of Science, Henan University of Technology, Zhengzhou, Henan 450001, China.. hech202@163.com
Xiumei Wang
Affiliation:
Department of Mathematics, Zhengzhou University, Zhengzhou, Henan 450001, China
Yixun Lin
Affiliation:
Department of Mathematics, Zhengzhou University, Zhengzhou, Henan 450001, China
Yundong Mu
Affiliation:
School of Science, Henan University of Technology, Zhengzhou, Henan 450001, China.. hech202@163.com
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Abstract

This note is concerned with the bicriteria scheduling problem on a series-batching machine to minimize maximum cost and makespan. An O(n5) algorithm has been established previously. Here is an improved algorithm which solves the problem in O(n3) time.

Type
Research Article
Copyright
© EDP Sciences, ROADEF, SMAI, 2013

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References

Références

Albers, S. and Brucker, P., The complexity of one-machine batching problems. Discrete Appl. Math. 47 (1993) 87107. Google Scholar
P. Brucker, Scheduling Algorithms (third edition). Springer, Berlin (2001).
Graham, R.L., Lawler, E.L., Lenstra, J.K. and Rinnooy Kan, A.H.G., Optimization and approximation in deterministic sequencing and scheduling : A survey. Annal. Discr. Math. 5 (1979) 287326. Google Scholar
He, C., Lin, H., Lin, Y.X. and Tian, J., Bicriteria scheduling on a series -batching machine to minimize maximum cost and makespan. CEJOR Cent. Eur. J. Oper. Res. 21 (2013) 177186. Google Scholar
He, C., Lin, Y.X. and Yuan, J.J., Bicriteria scheduling of minimizing maximum lateness and makespan on a serial-batching machine. Found. Comput. Decision Sci. 33 (2008) 369376. Google Scholar
He, C., Lin, Y.X. and Yuan, J.J., A DP algorighm for minimizing makespan and total completion time on a series-batching machine. Informat. Process. Lett. 109 (2009) 603607. Google Scholar
Hoogeveen, H., Multicriteria scheduling. European J. Oper. Res. 167 (2005) 592623. Google Scholar
Hoogeveen, J.A., Single-machine scheduling to minimize a function of two or three maximum cost criteria. J. Algorithms 21 (1996) 415433. Google Scholar
Webster, S. and Baker, K.R., Scheduling groups of jobs on a single machine. Oper. Res. 43 (1995) 692703. Google Scholar