Transient Analysis of an M/M/1 Queue Subject to Catastrophes and Server Failures

B. Krishna Kumar; S. Pavai Madheswari

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Transient Analysis of an M/M/1 Queue Subject to Catastrophes and Server Failures

机译：发生灾难和服务器故障的M / M / 1队列的瞬态分析

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摘要

A transient solution for the system size in the M/M/1 queueing system with the possibility of catastrophes and server failures is analyzed. The steady state probabilities of the system size are also derived. Some important performance measures are discussed. Finally, the reliability and availability of the system are obtained.

机译：分析了M / M / 1排队系统中可能出现灾难和服务器故障的系统大小的瞬态解决方案。还得出系统大小的稳态概率。讨论了一些重要的性能指标。最后，获得了系统的可靠性和可用性。

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《Stochastic Analysis and Applications》 |2005年第2期|共12页
作者
B. Krishna Kumar; S. Pavai Madheswari;
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原文格式 PDF
正文语种 eng
中图分类概率论与数理统计;
关键词
Catastrophes; Server failure; Steady state distribution;

机译：灾难;服务器故障;稳定状态分配;

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专利

1. Transient Analysis of an M/M/1 Queue Subject to Catastrophes and Server Failures [J] . B. Krishna Kumar, S. Pavai Madheswari Stochastic Analysis and Applications . 2005,第2期

机译：发生灾难和服务器故障的M / M / 1队列的瞬态分析
2. Transient analysis of an M/G/1 retrial queue subject to disasters and server failures [J] . Wang JT, Liu B, Li JH European Journal of Operational Research . 2008,第3期

机译：遭受灾难和服务器故障的M / G / 1重试队列的瞬态分析
3. Transient Solution of an M/M/2 Queue with Heterogeneous Servers Subject to Catastrophes [J] . B. Krishna Kumar, S. Pavai Madheswari, K. S. Venkatakrishnan International Journal of Information and Management Sciences . 2007,第1期

机译：具有灾难性异构服务器的M / M / 2队列的瞬态解决方案
4. TRANSIENT BEHAVIOUR OF AN M/M/2 QUEUE WITH HETEROGENEOUS SERVERS AND CATASTROPHES [C] . B. Krishna Kumar, S. Pavai Madheswari European Simulation Symposium 2000(ESS'2000); 20000928-20000930; Hamburg; DE . 2000

机译：具有异构服务器和灾难的M / M / 2队列的暂态行为
5. Influence of Pain Catastrophizing and Observer Prominence on Pain Behaviors and Ratings: A Quasi-experimental Analysis [D] . Panizich, Leanne 2015

机译：疼痛灾难性和观察者突出对疼痛行为和等级的影响：拟实验分析
6. Steady-State Analysis of a Flexible Markovian Queue with Server Breakdowns [O] . Messaoud Bounkhel, Lotfi Tadj, Ramdane Hedjar 2019

机译：服务器故障灵活的马尔科夫队列稳态分析
7. Matrix-Geometric Solution for Two Node Tandem Queueing Systems with Phase-Type Servers Subject to Blocking and Failures. [O] . Gun, Levent, Makowski, Armand M. 1987

机译：具有相位类型服务器且受阻塞和故障影响的两节点串联排队系统的矩阵几何解决方案。
8. Matrix-Geometric Solution for Two Node Tandem Queueing Systems with Phase-Type Servers Subject to Blocking and Failures. [R] . Guen, L., Makowski, A. M. 1987

机译：具有阻塞和故障的相位型服务器的两节点串联排队系统的矩阵几何解。

Transient Analysis of an M/M/1 Queue Subject to Catastrophes and Server Failures

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