Hostname: page-component-7bb8b95d7b-s9k8s Total loading time: 0 Render date: 2024-09-21T05:44:33.853Z Has data issue: false hasContentIssue false

Scheduling with precedence constraints: Worst-case analysis of priority algorithms

Published online by Cambridge University Press:  17 April 2009

Gaurav Singh
Affiliation:
Department of Mathematical Sciences, University of Technology, Sydney, Broadway, NSW 2007, e-mail: Gaurav.Singh@uts.edu.au
Rights & Permissions [Opens in a new window]

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Abstracts of Australasian PhD Theses
Copyright
Copyright © Australian Mathematical Society 2003

References

[1]Brucker, P., Garey, M.R. and Johnson, D.S., ‘Scheduling equal-length tasks under tree-like precedence constraints to minimise maximum lateness’, Math. Oper. Res. 2 (1977), 275284.CrossRefGoogle Scholar
[2]Chen, N.F., ‘An analysis of scheduling algorithms in multiprocessing computing systems’, (Technical Report UIUCDCS-R-75–724, Department of Computer Science, University of Illinois at Urbana-Champaign, 1975.Google Scholar
[3]Hu, T.C., ‘Parallel sequencing and assembly line problems’, Oper. Res. 9 (1961), 841848.CrossRefGoogle Scholar
[4]Lawler, E.L., ‘Preemptive scheduling of precedence-constrained jobs on parallel machines’, in Deterministic and Stochastic Scheduling, (Demster, M.A.H., Lenstra, J.K. and Kan, A.H.G. Rinnooy, Editors), 1998, pp. 101123.Google Scholar
[5]Singh, G., ‘Performance of critical path type algorithms for scheduling on parallel processors’, Oper. Res. Lett. 29 (2001), 1730.CrossRefGoogle Scholar
[6]Singh, G., ‘Scheduling UET-UCT tasks on parallel processors to minimise maximum lateness’, (submitted), J. Algorithms (2002).Google Scholar
[7]Singh, G. and Zinder, Y., ‘Worst-case performance of critical path type algorithms’, Int. Trans. Oper. Res. 7 (2000), 383399.Google Scholar
[8]Singh, G. and Zinder, Y., ‘Worst-case performance of two critical path type algorithms’, Asia-Pacific J. Oper. Res. 17 (2000), 101121.Google Scholar
[9]Zinder, Y. and Roper, D., ‘An iterative algorithm for scheduling unit-time operations with precedence constraints to minimise the maximum lateness’, Ann. Oper. Res. 81 (1998), 321340.CrossRefGoogle Scholar
[10]Zinder, Y. and Singh, G., ‘Preemptive scheduling on parallel processors with due-dates’, (Research Report RR02–01, Department of Mathematical Sciences, University of Technology, Sydney, 2002).Google Scholar