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Scheduling Jobs That Are Subject to Deterministic Due Dates and Have Deteriorating Expected Rewards

Published online by Cambridge University Press:  27 July 2009

Takashi Ishikida
Affiliation:
Division of the Humanities and Social Sciences, California Institute of Technology, Pasadena, California
Yat-wah Wan
Affiliation:
Department of Industrial Engineering and Engineering Management, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong

Abstract

A single server processes jobs that can yield rewards but expire on predetermined dates. Expected immediate rewards from each job are deteriorating. The instance is formulated as a multiarmed bandit problem, and an index-based scheduling policy is shown to maximize the expected total reward.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1997

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References

1.Boxma, O.J. & Forst, F.G. (1986). Minimizing the expected weighted number of tardy jobs in stochastic flow shops. Operations Research Letters 5: 119126.CrossRefGoogle Scholar
2.De, P., Ghosh, J.B., & Wells, C.E. (1993). On the minimization of the weighted number of tardy jobs with random processing times and deadlines. Computers and Operations Research 18: 457463.CrossRefGoogle Scholar
3.Gittins, J.C. (1989). Multi-armed Bandit Allocation Indices. New York: John Wiley & Sons.Google Scholar
4.Glazebrook, K.D. (1983). On stochastic scheduling problems with due dates. International Journal of System Science 14: 12591271.CrossRefGoogle Scholar
5.Ishikida, T. & Varaiya, P.P. (1994). Multi-armed bandit problem revisited. Journal of Optimization Theory and Applications 83: 113154.CrossRefGoogle Scholar
6.Mandelbaum, A. (1986). Discrete multi-armed bandits and multi-parameter processes. Probability Theory and Related Fields 71: 129147.CrossRefGoogle Scholar
7.Pinedo, M. (1983). Stochastic scheduling with release dates and due dates. Operations Research 31:559572.CrossRefGoogle Scholar
8.Pitman, J.W. & Speed, T.P. (1973). A note on random times. Stochastic Processes and Their Applications 1: 369374.CrossRefGoogle Scholar
9.Ross, S. (1983). Introduction to Stochastic Dynamic Programming. New York: Academic Press.Google Scholar
10.Wan, Y.-w. & Ishikida, T. (1996). Scheduling jobs that are subject to due dates and have deteriorating expected rewards. Technical Report, Department of Industrial Engineering and Engineering Management, Hong Kong University of Science and Technology.Google Scholar