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Analysis of FM/M(a,b)/1/MWV/Br Queueing Model

by K. Julia Rose Mary, R. Rajalakshmi, J. Pavithra
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 142 - Number 11
Year of Publication: 2016
Authors: K. Julia Rose Mary, R. Rajalakshmi, J. Pavithra
10.5120/ijca2016909799

K. Julia Rose Mary, R. Rajalakshmi, J. Pavithra . Analysis of FM/M(a,b)/1/MWV/Br Queueing Model. International Journal of Computer Applications. 142, 11 ( May 2016), 18-22. DOI=10.5120/ijca2016909799

@article{ 10.5120/ijca2016909799,
author = { K. Julia Rose Mary, R. Rajalakshmi, J. Pavithra },
title = { Analysis of FM/M(a,b)/1/MWV/Br Queueing Model },
journal = { International Journal of Computer Applications },
issue_date = { May 2016 },
volume = { 142 },
number = { 11 },
month = { May },
year = { 2016 },
issn = { 0975-8887 },
pages = { 18-22 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume142/number11/24939-2016909799/ },
doi = { 10.5120/ijca2016909799 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:44:42.342109+05:30
%A K. Julia Rose Mary
%A R. Rajalakshmi
%A J. Pavithra
%T Analysis of FM/M(a,b)/1/MWV/Br Queueing Model
%J International Journal of Computer Applications
%@ 0975-8887
%V 142
%N 11
%P 18-22
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we propose the general bulk service queueing model for FM/M(a,b)/1/MWV/Br. The batches are served according to FCFS discipline. In which arrival rate, vacation parameter, service rate for busy period, and for vacation period are all considered as trapezoidal fuzzy numbers. The basic idea is to convert all these fuzzy numbers into crisp values by applying Robust ranking Technique. Robust Ranking technique is used to find the expected mean queue length(Lq), Pv, and Pbusy. Further analytical results of Lq, Pv and Pbusy are numerically illustrated under crisp environment for the different values of the parameters.

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Index Terms

Computer Science
Information Sciences

Keywords

Multiple Working Vacation break down Mean queue length Robust Ranking Technique Fuzzy number.