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Stochastic Scheduling in Priority Queues with Strict Deadlines

Published online by Cambridge University Press:  27 July 2009

Dimitrios G. Pandelis  and
Demosthenis Teneketzis
Dimitrios G. Pandelis
Affiliation:
Department of Electrical Engineering and Computer Science, The University of Michigan, Ann Arbor, Michigan 48109
Demosthenis Teneketzis
Affiliation:
Department of Electrical Engineering and Computer Science, The University of Michigan, Ann Arbor, Michigan 48109
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Abstract

Tasks belonging to N priority classes arrive for processing in a single or multiserver facility. If the processing does not begin by a certain time (deterministic or random), the task is lost and a cost is incurred. We determine properties of dynamic, nonidling, nonpreemptive strategies that minimize an infinite horizon expected cost.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 7 , Issue 2 , April 1993 , pp. 273 - 289
Copyright
Copyright © Cambridge University Press 1993

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References

1.Baccelli, F., Boyer, P., & Hebuterne, G. (1984). Single server queues with impatient customers. Advances in Applied Probability 16: 887–905.CrossRefGoogle Scholar
2.Baccelli, F. & Trivedi, K.S (1985). A single server queue in a hard real time environment. Operations Research Letters 4(4): 161–168.CrossRefGoogle Scholar
3.Bhattacharya, P.P. & Ephremides, A. (1989). Optimal scheduling with strict deadlines. IEEE Transactions on Automatic Control 34: 721–728.CrossRefGoogle Scholar
4.Bhattacharya, P.P. & Ephremides, A. (1991). Optimal allocation of a server between two queues with due times. IEEE Transactions on Automatic Control 36: 1417–1423.CrossRefGoogle Scholar
5.Charlot, F. & Pujolle, G. (1978). Recurrence in single server queues with impatient customers. Annales de l'Institut Henri Poincaré Sec. B XIV: 399–410.Google Scholar
6.Cho, Y. & Sahni, S. (1981). Preemptive scheduling of independent jobs with release and due dates on open, flow and job shops. Operations Research 29: 511–522.CrossRefGoogle Scholar
7.Conway, R.W., Maxwell, W.L., & Miller, L.W. (1967). Theory of scheduling. Reading, MA: Addison-Wesley.Google Scholar
8.Derman, C., Lieberman, G.J., & Ross, S.M. (1978). A renewal decision problem. Management Science 24: 554–563.CrossRefGoogle Scholar
9.Ephremides, A., Varaiya, P., & Walrand, J.C. (1980). A simple dynamic routing problem. IEEE Transactions on Automatic Control AC-25: 690–693.CrossRefGoogle Scholar
10.Huang, C.-C. & Weiss, G. (1992). Scheduling jobs with stochastic processing times and due dates to minimize total tardiness. Preprint.Google Scholar
11.Panwar, S.S., Towsley, D., & Wolff, J.K. (1988). Optimal scheduling policies for a class of queues with customer deadlines to the beginning of service. Journal of Association for Computing Machinery 35(4): 832–844.CrossRefGoogle Scholar
12.Pinedo, M. (1983). Stochastic scheduling with release dates and due dates. Operations Research 31: 559–572.CrossRefGoogle Scholar
13.Ross, S. (1983). Stochastic processes. New York: Wiley.Google Scholar
14.Stanford, R.E. (1979). Reneging phenomena in single channel queues. Mathematics of Operations Research 4: 162–178.CrossRefGoogle Scholar
15.Takacs, L. (1974). A single server queue with limited virtual waiting time. Journal of Applied Probability 11: 612–617.CrossRefGoogle Scholar