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A Study on the Performance Analysis of a Batch Arrival Queue with Two Stages of Service, Bernoulli Schedule Vacation, Extended Vacation and Service Interruption

by S. Maragathasundari, B. Balamurugan
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 124 - Number 12
Year of Publication: 2015
Authors: S. Maragathasundari, B. Balamurugan
10.5120/ijca2015905695

S. Maragathasundari, B. Balamurugan . A Study on the Performance Analysis of a Batch Arrival Queue with Two Stages of Service, Bernoulli Schedule Vacation, Extended Vacation and Service Interruption. International Journal of Computer Applications. 124, 12 ( August 2015), 33-37. DOI=10.5120/ijca2015905695

@article{ 10.5120/ijca2015905695,
author = { S. Maragathasundari, B. Balamurugan },
title = { A Study on the Performance Analysis of a Batch Arrival Queue with Two Stages of Service, Bernoulli Schedule Vacation, Extended Vacation and Service Interruption },
journal = { International Journal of Computer Applications },
issue_date = { August 2015 },
volume = { 124 },
number = { 12 },
month = { August },
year = { 2015 },
issn = { 0975-8887 },
pages = { 33-37 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume124/number12/22159-2015905695/ },
doi = { 10.5120/ijca2015905695 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:14:15.127605+05:30
%A S. Maragathasundari
%A B. Balamurugan
%T A Study on the Performance Analysis of a Batch Arrival Queue with Two Stages of Service, Bernoulli Schedule Vacation, Extended Vacation and Service Interruption
%J International Journal of Computer Applications
%@ 0975-8887
%V 124
%N 12
%P 33-37
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper a M[X]/G /1 Queueing model with two stages of service is studied. Service interruption is considered as a major phenomenon. On completion of a service, the server will go for a vacation .An additional aspect of Optional extended vacation is considered in this model . In this model, repair process start immediately. Service time, Vacation time & Repair time follows general distribution. Steady state solution & Performance measures are derived.

References
  1. Chodhury. G and Madan. K.C (2005), “A two stage batch arrival queueing systems with a modified Bernoulli schedule vacation under N-policy”, Mathematical and computer Modelling, Vol.42, pp.71-85.
  2. K.C Madan (1994), “A queueing system with random failures and delayed repairs”, J. Ind Statist. Assoc, Vol.32, pp.39-48.
  3. B.T Doshi (1986), “Queueing systems with Vacation – a Survey”, Queueing Systems, Vol.1, pp.29-66.
  4. Takagi. H (1990), “Time-dependent analysis of M/G/1 vacation with exhaustive service”, Queueing Systems, Vol.6, pp.369-390.
  5. Chodhury. G and Madan. K.C (2004), “A two phase batch arrival queueing system with a vacation time under Bernoulli schedule”, Applied mathematics and Computation, Vol. 149, pp.337-349.
  6. G. Choudhury, L. Tadj and M. Paul(2007), “Steady state analysis of an M[x]/G/1 queue with two phase service and Bernoulli vacation schedule under multiple vacation policy ”, Applied Mathematical Modeling Vol.31, No.3, pp.1079-1091.
  7. Maraghi. F.A, Madan . K.C and Darby-Dowman. K (2009), “Batch Arrival queueing system with Random Breakdowns and Bernoulli Schedule server vacations having General vacation Time Distribution”, International Journal of Information and Management Sciences, Vol.20, pp.55-70.
  8. Takine . T (2001), “Distributional form of Little’s law for FIFO queues with multiple Markovian arrival streams and its application to queues with vacations”, Queueing Systems, Vol.37, pp.31-63.
  9. Chodhury. G (2002), “Some aspects of M/G/1 queue with two different times under multiple vacation policy”, Stochasic Analysis and applications, Vol.20, No.5, pp.901-909.
  10. Madan .K.C and Abu-Dayyeh .W. & Saleh (2002), “ An M/G/1 queue with second optional service and Bernoulli schedule server vacations”, Systems Science, Vol.28, No.3, pp.51-62.
  11. Madan . K.C, Al-Rawi, Z.R & Al-Nasser, A.D (2005), “On Mx/(G1G2)/1/G(BS)/Vs vacation queue with two types of general heterogeneous service”, Journal of Applied mathematics and Decision sciences, Vol.3, pp.123-135.
  12. Madan .K.C and Chodhury. G (2006), “ Steady state analysis of an M^[x] /(G1G2)/1 queue with restricted admissibility and random set up time, International Journal of Information and Management sciences”,Vol.17, No.2,pp.33-56.
  13. K.C Madan.(2001),“On a single server queue with two stage heterogeneous service and deterministic server vacations”, International journal of system sciences, Vol.32, pp.837-844.
  14. K.C Madan and R.F Anabasi (2001), “A single server queue with two types of service, Bernoulli schedule server vacations and a single vacation policy”, Pakistan journal of statistics, Vol.19, pp331-342.
  15. V. Thangaraj and Vanitha (2010), M]/G/1 queue with Two Stage Heterogeneous service Compulsory server vacation and Random breakdowns”, Int Journal of Contemp .Math. Sciences”, Vol.5, pp.307-322.
  16. Maragathasundari. S and Srinivasan. S (2014a), “A Non-Markovian Multistage Batch arrival queue with breakdown and reneging”, Mathematical problems in engineering, Volume 2014/16 pages/ Article ID .519579/ http: // dx. doi. Org / 10.1155/2014/ 519579.
  17. Maragathasundari. S and Srinivasan. S (2014b), “Analysis of Batch arrival queue with two stages of service and phase vacations”, Missouri Journal of Mathematical Sciences, Vol. FALL 2014, No.2, pp.189-205.
Index Terms

Computer Science
Information Sciences

Keywords

Random breakdown Repair process extended vacation Steady state Queue size distribution.

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