MATRIX GEOMETRIC SOLUTION OF UNRELIABLE SERVER M/M/1 QUEUEING SYSTEM WITH SECOND OPTIONAL SERVICE

被引：0

作者：

Chauhan, Deepa ^{[1
]}

机构：

[1] Allenhouse Inst Technol, Dept Math, Kanpur 208007, Uttar Pradesh, India

来源：

JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES | 2013年 / 12卷 / 03期

关键词：

Second optional service; matrix geometric technique; server breakdown; repair; queue size; throughput;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

An M/M/1 queueing system with second optional service and unreliable server is studied in existing paper. The customers arrive to the system according to Poisson process with state dependent rates depending upon the server's status. All customers demand the first essential service whereas only some of them demand the second optional service. A customer either may leave the system after the first essential service with probability (1- r), or at the completion of the first essential service go for second optional service with probability r (0 <= r <= 1) The matrix geometric technique is used for the analysis of the concerned queueing system. The sensitive analysis is also performed to examine the variation of the system perfounance characteristics with various input parameters.

引用

页码：227 / 234

页数：8

共 36 条

[21] The performance measures and randomized optimization for an unreliable server M[x]/G/1 vacation system [J].

Ke, Jau-Chuan ;

Huang, Kai-Bin ;

Pearn, Wen Lea .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (21) :8277-8290

[22] Steady-state probability of the randomized server control system with second optional service, server breakdowns and startup [J].

Yang D.-Y. ;

Wang K.-H. ;

Pearn W.L. .

Journal of Applied Mathematics and Computing, 2010, 32 (01) :39-58

[23] Bernoulli vacation model for MX/G/1 unreliable server retrial queue with bernoulli feedback, balking and optional service [J].

Jain, Madhu ;

Kaur, Sandeep .

RAIRO-OPERATIONS RESEARCH, 2021, 55 :S2027-S2053

[24] Bernoulli vacation model for MX/G/ 1 unreliable server retrial queue with bernoulli feedback, balking and optional service [J].

Jain, Madhu ;

Kaur, Sandeep .

RAIRO - Operations Research, 2021, 55

[25] MATRIX GEOMETRIC METHOD FOR THE ANALYSIS OF M/M/1 MODEL UNDER REPAIR [J].

Joshi, Pradeep K. ;

Gupta, Shejal ;

Rajeshwari, K. N. .

ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2021, 20 (07) :1239-1248

[26] Analysis of customer's impatience on bulk service queueing system with unreliable server, setup time and two types of multiple vacations [J].

Ayyappan G. ;

Nirmala M. .

International Journal of Industrial and Systems Engineering, 2021, 38 (02) :198-222

[27] On the M/G/1 queueing system with multiclass customers and fixed feedback [J].

ZHANG Qizhi School of Computer South China Normal University Guangzhou China .

TheJournalofChinaUniversitiesofPostsandTelecommunications, 2008, (02) :114-121

[28] Geom/G 1, G 2/1/1 repairable Erlang loss system with catastrophe and second optional service [J].

Tang, Yinghui ;

Yu, Miaomiao ;

Li, Cailiang .

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2011, 24 (03) :554-564

[29] Optimal control of a removable and non-reliable server in an infinite and a finite M/H2/l queueing system [J].

Wang, KH ;

Chang, KW ;

Sivazlian, BD .

APPLIED MATHEMATICAL MODELLING, 1999, 23 (08) :651-666

[30] Geom/G1, G2/1/1 repairable Erlang loss system with catastrophe and second optional service [J].

Yinghui Tang ;

Miaomiao Yu ;

Cailiang Li .

Journal of Systems Science and Complexity, 2011, 24 :554-564

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