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Analysis of Biserial Servers Linked to a Common Server in Fuzzy Environment

by Seema, Deepak Gupta, Sameer Sharma
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 68 - Number 6
Year of Publication: 2013
Authors: Seema, Deepak Gupta, Sameer Sharma
10.5120/11585-6918

Seema, Deepak Gupta, Sameer Sharma . Analysis of Biserial Servers Linked to a Common Server in Fuzzy Environment. International Journal of Computer Applications. 68, 6 ( April 2013), 26-32. DOI=10.5120/11585-6918

@article{ 10.5120/11585-6918,
author = { Seema, Deepak Gupta, Sameer Sharma },
title = { Analysis of Biserial Servers Linked to a Common Server in Fuzzy Environment },
journal = { International Journal of Computer Applications },
issue_date = { April 2013 },
volume = { 68 },
number = { 6 },
month = { April },
year = { 2013 },
issn = { 0975-8887 },
pages = { 26-32 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume68/number6/11585-6918/ },
doi = { 10.5120/11585-6918 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:27:07.430959+05:30
%A Seema
%A Deepak Gupta
%A Sameer Sharma
%T Analysis of Biserial Servers Linked to a Common Server in Fuzzy Environment
%J International Journal of Computer Applications
%@ 0975-8887
%V 68
%N 6
%P 26-32
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The present paper is an attempt to find various characteristics of a queuing network in which two parallel biserial servers are linked to a common server in series under fuzzy environment. Waiting lines or queues are extensively used to analyze the production and service processes exhibiting random variability in arrival times and service times. It is usually assumed that the time between the two consecutive arrivals and servicing time follows a special probability distribution. However, in real world this type of information is obtained using qualitative data and expressed by words like quick, medium and slow rather than the probabilistic values. The - cut approach and fuzzy arithmetic operations are used to estimate the uncertainty associated with the input parameters. The proposed model is illustrated with a numerical illustration.

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Index Terms

Computer Science
Information Sciences

Keywords

Queue network Mean queue length Waiting time Biserial servers Fuzzy arrival rate Fuzzy service rate Triangular fuzzy numbers.