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Optimal Routing and Scheduling of Customers with Deadlines

Published online by Cambridge University Press:  27 July 2009

Panayotis D. Sparaggis  and
Don Towsley
Panayotis D. Sparaggis
Affiliation:
Department of Electrical and Computer Engineering, University of Massachusetts, Amherst, Massachusetts 01003
Don Towsley
Affiliation:
Department of Computer Science, University of Massachusetts, Amherst, Massachusetts 01003
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Abstract

Consider the problem in which impatient customers have to be routed to or scheduled from a set of parallel homogeneous service stations with finite buffer capacities. When the service times and the deadlines of customers are exponentially distributed, we identify the control policies that stochastically minimize the total number of losses by any time t. We study systems with deadlines to the beginning or to the end of service. The results regarding the individual types of losses, i.e., losses due to deadline misses and losses due to buffer overflow, vary across different systems. In all cases we state explicitly the properties and the limitations of the optimal control policies.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 8 , Issue 1 , January 1994 , pp. 33 - 49
Copyright
Copyright © Cambridge University Press 1994

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