Transient analysis of a single server queue with catastrophes, failures and repairs

被引：41

作者：

Kumar, B. Krishna ^{[1
]}

Krishnamoorthy, A.

Madheswari, S. Pavai

Basha, Sadiq

机构：

[1] Anna Univ, Dept Math, Madras 600025, Tamil Nadu, India

[2] Cochin Univ Sci & Technol, Dept Math, Cochin 682022, Kerala, India

来源：

QUEUEING SYSTEMS | 2007年 / 56卷 / 3-4期

关键词：

time-dependent analysis; catastrophes; server failure; continued fractions; steady state; throughput; loss probability;

D O I：

10.1007/s11134-007-9014-0

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A transient solution is obtained analytically using continued fractions for the system size in an M/M/1 queueing system with catastrophes, server failures and non-zero repair time. The steady state probability of the system size is present. Some key performance measures, namely, throughput, loss probability and response time for the system under consideration are investigated. Further, reliability and availability of the system are analysed. Finally, numerical illustrations are used to discuss the system performance measures.

引用

页码：133 / 141

页数：9

共 50 条

[1] Transient analysis of a single server queue with catastrophes, failures and repairs
B. Krishna Kumar
A. Krishnamoorthy
S. Pavai Madheswari
S. Sadiq Basha
[J]. Queueing Systems, 2007, 56 : 133 - 141
[2] Transient Analysis of an M/M/1 Queue with Reneging, Catastrophes, Server Failures and Repairs
M. I. G. Suranga Sampath
Jicheng Liu
[J]. Bulletin of the Iranian Mathematical Society, 2018, 44 : 585 - 603
[3] Transient Analysis of an M/M/1 Queue with Reneging, Catastrophes, Server Failures and Repairs
Sampath, M. I. G. Suranga
Liu, Jicheng
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2018, 44 (03) : 585 - 603
[4] TRANSIENT AND STEADY STATE ANALYSIS OF AN M/M/1 QUEUE WITH BALKING, CATASTROPHES, SERVER FAILURES AND REPAIRS
Tarabia, Ahmed M. K.
[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2011, 7 (04) : 811 - 823
[5] Transient analysis of an M/M/1 queue subject to catastrophes and server failures
Kumar, BK
Madheswari, SP
[J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 2005, 23 (02) : 329 - 340
[6] Ergodicity and perturbation bounds for Mt/Mt/1 queue with balking, catastrophes, server failures and repairs
Zeifman, Alexander
Satin, Yacov
Kovalev, Ivan
Ammar, Sherif I.
[J]. RAIRO-OPERATIONS RESEARCH, 2021, 55 (04) : 2223 - 2240
[7] Transient behavior of a two-processor heterogeneous system with catastrophes, server failures and repairs
Ammar, Sherif I.
[J]. APPLIED MATHEMATICAL MODELLING, 2014, 38 (7-8) : 2224 - 2234
[8] The Single Server Queue with Catastrophes and Geometric Reneging
Spiros Dimou
Antonis Economou
[J]. Methodology and Computing in Applied Probability, 2013, 15 : 595 - 621
[9] PERFORMANCE ANALYSIS OF A FLUID FLOW SYSTEM MODULATED BY A SINGLE SERVER QUEUE PRONE TO CATASTROPHIC FAILURES AND REPAIRS
Kumar, B. Krishna
Krishnan, R. Navaneetha
Sankar, R.
Rukmani, R.
[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2023, 19 (08) : 5559 - 5578
[10] The Single Server Queue with Catastrophes and Geometric Reneging
Dimou, Spiros
Economou, Antonis
[J]. METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2013, 15 (03) : 595 - 621

← 1 2 3 4 5 →