BMAP/SM/1 queue with Markovian input of disasters and non-instantaneous recovery

被引：36
|
作者：
Dudin, A [1 ]
Karolik, AV [1 ]
机构：
[1] Belarusian State Univ, Fac Appl Math & Comp Sci, Lab Appl Probabilist Anal, Minsk 220050 50, BELARUS
来源：
PERFORMANCE EVALUATION | 2001年 / 45卷 / 01期
关键词：
negative arrivals; BMAP/SM/1; queue; Markovian arrival process of disasters; recovering;
D O I：
10.1016/S0166-5316(00)00063-8
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider a BMAP/SM/I system which is exposed to disasters' arrivals. A disaster causes all customers to leave the system instantaneously. After a disaster appearance the system is recovering during some random time interval. The variants of accumulating and losing customers during the recover period are considered. The embedded and arbitrary time queue length distributions as well as the average output rate and loss probability are calculated, The results are illustrated by numerical examples. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：19 / 32
页数：14
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