Analysis of Performance Measures with Single Channel Fuzzy Queues under Two Class by Ranking Method

In this paper, we propose a procedure to find different performance measures in terms of crisp value for new single fuzzy queues FM/F(H1,H2)/1 with two classes of arrival. The arrival and service rate are fuzzy numbers which represented by triangular, trapezoidal and hexagonal membership functions....

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Main Authors: Mueen, Zeina, Ramli, Razamin, Zaibidi, Nerda Zura
Format: Article
Language:English
Published: Universiti Teknikal Malaysia Melaka 2017
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/31034/1/JTECE%2009%2001-2%202017%20109-112.pdf
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author Mueen, Zeina
Ramli, Razamin
Zaibidi, Nerda Zura
author_facet Mueen, Zeina
Ramli, Razamin
Zaibidi, Nerda Zura
author_sort Mueen, Zeina
collection UUM
description In this paper, we propose a procedure to find different performance measures in terms of crisp value for new single fuzzy queues FM/F(H1,H2)/1 with two classes of arrival. The arrival and service rate are fuzzy numbers which represented by triangular, trapezoidal and hexagonal membership functions. The main idea is to obtain the exact crisp values from the fuzzy values, which is more realistic and practical in queueing system. The left and right ranking method is adopted to remove the fuzziness before the performance measures are computed by using conventional queueing theory. The main advantage of this approach, that it is simplicity in application and capability in discovering exact real data around fuzzy values. Numerical example is presented to illustrate the validity application of the procedure
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spelling uum-310342024-07-10T07:41:15Z https://repo.uum.edu.my/id/eprint/31034/ Analysis of Performance Measures with Single Channel Fuzzy Queues under Two Class by Ranking Method Mueen, Zeina Ramli, Razamin Zaibidi, Nerda Zura QA Mathematics In this paper, we propose a procedure to find different performance measures in terms of crisp value for new single fuzzy queues FM/F(H1,H2)/1 with two classes of arrival. The arrival and service rate are fuzzy numbers which represented by triangular, trapezoidal and hexagonal membership functions. The main idea is to obtain the exact crisp values from the fuzzy values, which is more realistic and practical in queueing system. The left and right ranking method is adopted to remove the fuzziness before the performance measures are computed by using conventional queueing theory. The main advantage of this approach, that it is simplicity in application and capability in discovering exact real data around fuzzy values. Numerical example is presented to illustrate the validity application of the procedure Universiti Teknikal Malaysia Melaka 2017 Article PeerReviewed application/pdf en cc4_by_nc_nd https://repo.uum.edu.my/id/eprint/31034/1/JTECE%2009%2001-2%202017%20109-112.pdf Mueen, Zeina and Ramli, Razamin and Zaibidi, Nerda Zura (2017) Analysis of Performance Measures with Single Channel Fuzzy Queues under Two Class by Ranking Method. Journal of Telecommunication, Electronic and Computer Engineering, 9 (1-2). pp. 109-112. ISSN 2289-8131 https://jtec.utem.edu.my/jtec/article/view/1667
spellingShingle QA Mathematics
Mueen, Zeina
Ramli, Razamin
Zaibidi, Nerda Zura
Analysis of Performance Measures with Single Channel Fuzzy Queues under Two Class by Ranking Method
title Analysis of Performance Measures with Single Channel Fuzzy Queues under Two Class by Ranking Method
title_full Analysis of Performance Measures with Single Channel Fuzzy Queues under Two Class by Ranking Method
title_fullStr Analysis of Performance Measures with Single Channel Fuzzy Queues under Two Class by Ranking Method
title_full_unstemmed Analysis of Performance Measures with Single Channel Fuzzy Queues under Two Class by Ranking Method
title_short Analysis of Performance Measures with Single Channel Fuzzy Queues under Two Class by Ranking Method
title_sort analysis of performance measures with single channel fuzzy queues under two class by ranking method
topic QA Mathematics
url https://repo.uum.edu.my/id/eprint/31034/1/JTECE%2009%2001-2%202017%20109-112.pdf
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AT zaibidinerdazura analysisofperformancemeasureswithsinglechannelfuzzyqueuesundertwoclassbyrankingmethod