Monotonicity results for MR/GI/1 queues

被引：16
|
作者：
Bauerle, N
机构：
来源：
JOURNAL OF APPLIED PROBABILITY | 1997年 / 34卷 / 02期
关键词：
Markov renewal queues; supermodular functions; stochastic ordering;
D O I：
10.2307/3215390
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
This paper considers queues with a Markov renewal arrival process and a particular transition matrix for the underlying Markov chain. Wt study the effect that the transition matrix has on the waiting time of the nth customer as well as on the stationary waiting time. The main theorem generalizes results of Szekli et al. (1994a) and partly confirms their conjecture. In this context we show the importance of a new stochastic ordering concept.
引用
收藏
页码：514 / 524
页数：11
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