文章基本信息

标题：Reservicing some customers in <mml:math alttext="$M/G/1$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mrow><mml:mrow><mml:mi>M</mml:mi><mml:mo>/</mml:mo><mml:mi>G</mml:mi></mml:mrow></mml:mrow><mml:mo>/</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> queues under three disciplines
本地全文：下载
作者：M. R. Salehi-Rad ; K. Mengersen ; G. H. Shahkar 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2004
卷号：2004
DOI：10.1155/S0161171204210389
出版社：Hindawi Publishing Corporation
摘要：Consider an M/G/1 production line in which a production item is failed with some probability and is then repaired. We consider three repair disciplines depending on whether the failed item is repaired immediately or first stockpiled and repaired after all customers in the main queue are served or the stockpile reaches a specified threshold. For each discipline, we find the probability generating function (p.g.f.) of the steady-state size of the system at the moment of departure of the customer in the main queue, the mean busy period, and the probability of the idle period.