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Optimality of the round-robin routing policy

Part of: Miscellaneous topics in calculus of variations and optimal control Optimality conditions Computer system organization Operations research and management science Special processes

Published online by Cambridge University Press:  14 July 2016

Zhen Liu  and
Don Towsley
Zhen Liu*
Affiliation:
INRIA
Don Towsley*
Affiliation:
University of Massachusetts, Amherst
*
∗ Postal address: INRIA Centre Sophia Antipolis, 2004 Route des Lucioles, 06560 Valbonne, France. This author's research was partially supported by CEC DG-XIII under the ESPRIT-BRA grant QMIPS.
∗∗ Postal address: Department of Computer Science, University of Massachusetts, Amherst, MA 01003, USA.
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Abstract

In this paper we consider the problem of routing customers to identical servers, each with its own infinite-capacity queue. Under the assumptions that (i) the service times form a sequence of independent and identically distributed random variables with increasing failure rate distribution and (ii) state information is not available, we establish that the round-robin policy minimizes, in the sense of a separable increasing convex ordering, the customer response times and the numbers of customers in the queues.

Keywords

OPTIMAL ROUTINGSCHEDULINGSAMPLE PATH ANALYSISSTOCHASTIC ORDERING

MSC classification

Primary: 60K25: Queueing theory
Secondary: 49K30: Optimal solutions belonging to restricted classes 49N30: Problems with incomplete information 68M20: Performance evaluation; queueing; scheduling 90B22: Queues and service 90B80: Discrete location and assignment
Type
Research Papers
Information
Journal of Applied Probability , Volume 31 , Issue 2 , June 1994 , pp. 466 - 475
Copyright
Copyright © Applied Probability Trust 1994 

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Footnotes

Research of both authors supported in part by the National Science Foundation under grants ASC 88-8802764 and NCR-9116183.

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