On some time non-homogeneous queueing systems with catastrophes

被引：26
|
作者：
Giorno, V. [1 ]
Nobile, A. G. [1 ]
Spina, S. [2 ]
机构：
[1] Univ Salerno, Dipartimento Studi & Ric Aziendali Management & I, I-84084 Fisciano, SA, Italy
[2] Univ Salerno, Dipartimento Matemat, I-84084 Fisciano, SA, Italy
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 245卷
关键词：
Birth-death-immigration process; M(t)/M(t)/1; M(t)/M(t)/infinity; Periodic intensities functions; BIRTH-DEATH PROCESSES; TRANSIENT ANALYSIS; M/M/1; QUEUE; IMMIGRATION;
D O I：
10.1016/j.amc.2014.07.076
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Non-stationary queueing systems subject to catastrophes occurring with time varying intensity are considered. The effect of a catastrophe is to make the queue instantly empty. The transition probabilities, the related moments and the first visit time density to zero state are analyzed. Particular attention is dedicated to queueing systems in the presence of catastrophes with periodic intensity function. Various applications are provided, including the non-stationary birth-death process with immigration, the queueing systems M(t)/M(t)/1 and M(t)/M(t)/infinity. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：220 / 234
页数：15
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