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Original Articles

A comparison of stochastically ordered queues

Pages 43-47 | Received 18 Apr 1996, Accepted 23 Aug 1996, Published online: 03 Apr 2007
 

Abstract

In this paper, the principle of stochastic ordering is applied to compare performance measures such as waiting times of two queueing systems. The technique of Monte Carlo simulation is employed to study the behaviour of such systems. It is shown that, in practice, to compare two stochastically ordered queues, we require a large number of customers to show significant results. Furthermore, the problem of comparing stochastically ordered queues requires careful interpretation when one is dealing with heavy-traffic queues.

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