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Media type:
E-Article
Title:
On the structure of value functions for threshold policies in queueing models
Contributor:
Bhulai, Sandjai;
Koole, Ger
imprint:
Cambridge University Press (CUP), 2003
Published in:Journal of Applied Probability
Language:
English
DOI:
10.1239/jap/1059060891
ISSN:
0021-9002;
1475-6072
Origination:
Footnote:
Description:
<jats:p>We study the multiserver queue with Poisson arrivals and identical independent servers with exponentially distributed service times. Customers arriving at the system are admitted or rejected according to a fixed threshold policy. Moreover, the system is subject to holding, waiting, and rejection costs. We give a closed-form expression for the average costs and the value function for this multiserver queue. The result will then be used in a single step of policy iteration in the model where a controller has to route to several finite-buffer queues with multiple servers. We numerically show that the improved policy has a close to optimal value.</jats:p>