A Direct Numerical Method for a Class of Queueing Problems

In this paper an efficient numerical method is given for determining stationary probabilities and average cost in queueing systems where the customers arrive singly and the service mechanism is negative exponential. State dependent service and arrival rates and batch service are allowed. The method is based on the property that the matrix of the embedded Markov process which describes the number of customers at the moments of arrival is almost triangular.

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Year of publication:	1978
Authors:	Wijngaard, J.
Published in:	Management Science. - Institute for Operations Research and the Management Sciences - INFORMS, ISSN 0025-1909. - Vol. 24.1978, 13, p. 1441-1447
Publisher:	Institute for Operations Research and the Management Sciences - INFORMS
Subject:	queues: algorithmic methods \| queues: approximations

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Extent:	application/pdf
Type of publication:	Article
Other identifiers:	10.1287/mnsc.24.13.1441 [DOI]
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10009209098