Busy period analysis of the state dependent M/M/1/K queue

被引：8
|
作者：
Al Hanbali, Ahmad [1 ]
Boxma, Onno
机构：
[1] Eindhoven Univ Technol, EURANDOM, NL-5600 MB Eindhoven, Netherlands
来源：
OPERATIONS RESEARCH LETTERS | 2010年 / 38卷 / 01期
关键词：
M/M/1/K queue; Level dependent; Busy period; Absorbing Markov chains; Performance metrics; LOSSES; TIME;
D O I：
10.1016/j.orl.2009.09.012
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 study the transient behavior of a state dependent M/M/1/K queue during the busy period. We derive in closed-form the joint transform of the length of the busy period, the number of customers served during the busy period, and the number of losses during the busy period. For two special cases called the threshold policy and the static policy we determine simple expressions for their joint transform. (C) 2009 Elsevier B.V. All rights reserved.
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页码：1 / 6
页数：6
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