On the ergodic distribution of oscillating queueing systems

Mykola Bratiychuk and Andrzej Chydzinski

International Journal of Stochastic Analysis, 2003, vol. 16, 1-16

Abstract:

This paper examines a new class of queueing systems and proves a theorem on the existence of the ergodic distribution of the number of customers in such a system. An ergodic distribution is computed explicitly for the special case of a G / M − M / 1 system, where the interarrival distribution does not change and both service distributions are exponential. A numerical example is also given.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:428109

DOI: 10.1155/S104895330300025X

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