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Optimal Stochastic Dynamic Scheduling in Multi-Class Queues with Tardiness and/or Earliness Penalties

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, University of Michigan, Ann Arbor, Michigan 48109–2122
Demosthenis Teneketzis
Affiliation:
Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, Michigan 48109–2122
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Abstract

Tasks belonging to N classes arrive for processing in a multi-server facility. Each arriving task has a due date (deterministic or random) associated with the completion of its service. If the service of a task is completed at a time other than the task's due date, an earliness or tardiness penalty is incurred. We determine properties of dynamic nonidling nonpreemptive and dynamic nonidling preemptive scheduling strategies that minimize an infinite horizon expected discounted cost due to the earliness and tardiness penalties. We provide examples that illustrate the properties of the optimal strategies.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 8 , Issue 4 , October 1994 , pp. 491 - 509
Copyright
Copyright © Cambridge University Press 1994

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