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The optimal admission policy to a multiserver queue with finite horizon

Published online by Cambridge University Press:  14 July 2016

H. Emmons
H. Emmons*
Affiliation:
Cornell University
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Abstract

An M/M/s queueing system with a simple cost structure is considered, under the assumption that the system will close in a finite time after which any remaining customers will require extra overtime service costs. We determine the optimal policy for admitting customers to the queue, as a function of the time, t, to closing and the current queue length, i. It is shown to have the form: admit if and only if f1(t) ≦ i ≦ f2(t). The bounds f1(t) and f2(t) are specified, and it is shown under what conditions f1(t) = 0 (a control limit rule) or f2(t) = ∞ (an inverse control limit rule).

Keywords

QUEUEING CONTROLMULTIPLE SERVER QUEUEADMISSION TO QUEUETRANSIENT QUEUEING CONTROLDYNAMIC QUEUEING CONTROLFINITE TIME QUEUEING CONTROLMARKOV DECISION PROCESS
Type
Research Papers
Information
Journal of Applied Probability , Volume 9 , Issue 1 , March 1972 , pp. 103 - 116
Copyright
Copyright © Applied Probability Trust 1972 

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