A recursive method to the optimal control of an M/G/1 queueing system with finite capacity and infinite capacity

Wang KH.; Ke JC.

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A recursive method to the optimal control of an M/G/1 queueing system with finite capacity and infinite capacity

机译：A recursive method to the optimal control of an M/G/1 queueing system with finite capacity and infinite capacity

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摘要

We study a single removable server in an infinite and a finite queueing systems with Poisson arrivals and general distribution service times. The server may be turned on at arrival epochs or off at service completion epochs. We present a recursive method, using the supplementary variable technique and treating the supplementary variable as the remaining service time, to obtain the steady state probability distribution of the number of customers in a finite system. The method is illustrated analytically for three different service time distributions: exponential, 3-stage Erlang, and deterministic. Cost models for infinite and finite queueing systems are respectively developed to determine the optimal operating policy at minimum cost. (C) 2000 Elsevier Science Inc. All rights reserved. References: 20

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《Applied mathematical modelling》 |2000年第12期|899-914|共16页
作者
Wang KH.; Ke JC.;
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作者单位

Natl Chung Hsing Univ, Dept Appl Math, Taichung 402, Taiwan, .;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类应用数学;
关键词
Cost; Control; M/g/1 queue; Recursive method; Supplementary variable; Machine interference model; Queuing system; Removable server; Policies;

A recursive method to the optimal control of an M/G/1 queueing system with finite capacity and infinite capacity

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