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Throughput maximization in a loss queueing system with heterogeneous servers

Published online by Cambridge University Press:  14 July 2016

Matthew J. Sobel
Matthew J. Sobel*
Affiliation:
SUNY at Stony Brook
*
∗Postal address: W. A. Harriman School of Management and Policy, SUNY at Stony Brook, Stony Brook, NY 1 1794-3775, USA.
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Abstract

Assigning each arriving customer to the fastest idle server is shown to maximize throughput (equivalently, minimize blocking probability) in a queueing model with Poisson arrivals, heterogeneous exponential servers, and no waiting room. If a cost structure is imposed on this model, under specified conditions the same policy minimizes the expected discounted cost and the long-run average cost per unit time.

Keywords

M/M/c/c QUEUEHETEROGENEOUS SERVERSTHROUGHPUT MAXIMIZATIONMATCHING CUSTOMERS WITH SERVERS
Type
Research Papers
Information
Journal of Applied Probability , Volume 27 , Issue 3 , September 1990 , pp. 693 - 700
Copyright
Copyright © Applied Probability Trust 1990 

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