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 38 条

[31] 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

[32] PERFORMANCE ANALYSIS OF M/G/1 QUEUING MODEL WITH TWO TYPES OF SERVICE, FEEDBACK, AND SERVER BREAKDOWN [J].

Rathnakumari, E. .

ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2021, 21 (01) :405-419

[33] SENSITIVITY ANALYSIS OF AN M/G/1 RETRIAL QUEUEING SYSTEM WITH DISASTER UNDER WORKING VACATIONS AND WORKING BREAKDOWNS [J].

Rajadurai, P. .

RAIRO-OPERATIONS RESEARCH, 2018, 52 (01) :35-54

[34] Transient scrutiny of MX/G(a, b)/1 queueing system with feedback, balking and two phase of service subject to server failure under Bernoulli vacation [J].

Rajendiran, Rani ;

Kandaiyan, Indhira .

AIMS MATHEMATICS, 2023, 8 (03) :5391-5412

[35] Analyzing Feedback M / G /1 Double Retrial Orbit with Two-Phase Optional Service and Repair under Working Vacation Policy [J].

Baskar, A. ;

Saravanarajan, M. C. .

CONTEMPORARY MATHEMATICS, 2024, 5 (04) :5795-5827

[36] Optimal NT Policies for a Two-Phase Service M/G/1 System with Bernoulli Vacation Schedule [J].

Kuo, Ching-Chang ;

Ke, Jau-Chuan ;

Choudhury, Gautam .

QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2015, 12 (03) :343-353

[37] Steady-State Performance Evaluation of an M[X]/G(a, b)/1 Queue with Low-Batch Service, Multiple Vacations and Uninterruptible Server Renovation [J].

Karpagam, S. ;

Aarthy, N. ;

Gupta, Gopal Kumar .

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (03)

[38] Complete Analysis of M/Gr(a,b)/1/N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M/G_{r}^{(a,b)}/1/N$$\end{document} Queue with Second Optional Service [J].

Anuradha Banerjee ;

Priti Lata .

Methodology and Computing in Applied Probability, 2024, 26 (4)

← 1 2 3 4 →