On the relations among the distributions at different epochs for discrete-time GI/Geom/1 queues

被引：28

作者：

Chaudhry, ML

Gupta, UC

Templeton, JGC

机构：

[1] INDIAN INST TECHNOL,DEPT MATH,KHARAGPUR 721302,W BENGAL,INDIA

[2] UNIV TORONTO,DEPT IND ENGN,TORONTO,ON M5S 1A4,CANADA

来源：

OPERATIONS RESEARCH LETTERS | 1996年 / 18卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

discrete-time queues; outside observer; prearrival; steady-state distribution; relations; supplementary variable;

D O I：

10.1016/0167-6377(95)00051-8

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper we discuss the discrete-time GI/Geom/1 queue and derive relations among prearrival and random epochs as well as the outside observer's distributions. Two variations of the model, namely late arrival system with delayed access and early arrival system, have been discussed along with the relations between prearrival-epoch probabilities for the two models.

引用

页码：247 / 255

页数：9

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