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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Format: | Article |
Language: | English |
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Universiti Teknikal Malaysia Melaka
2017
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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 |
first_indexed | 2024-10-01T01:43:32Z |
format | Article |
id | uum-31034 |
institution | Universiti Utara Malaysia |
language | English |
last_indexed | 2024-10-01T01:43:32Z |
publishDate | 2017 |
publisher | Universiti Teknikal Malaysia Melaka |
record_format | eprints |
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 |
work_keys_str_mv | AT mueenzeina analysisofperformancemeasureswithsinglechannelfuzzyqueuesundertwoclassbyrankingmethod AT ramlirazamin analysisofperformancemeasureswithsinglechannelfuzzyqueuesundertwoclassbyrankingmethod AT zaibidinerdazura analysisofperformancemeasureswithsinglechannelfuzzyqueuesundertwoclassbyrankingmethod |