Performance measure of multiple-channel queueing systems with imprecise data using graded mean integration for trapezoidal and hexagonal fuzzy numbers
In this paper, a procedure to establish the different performance measures in terms of crisp value is proposed for two classes of arrivals and multiple channel queueing models, where both arrival and service rate are fuzzy numbers. The main idea is to convert the arrival rates and service rates unde...
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| Format: | Article |
| Language: | English |
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UUM Press
2022
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| Online Access: | https://repo.uum.edu.my/id/eprint/29086/1/JCIA%2001%2002%202022%201-13.pdf https://doi.org/10.32890/jcia2022.1.2.1 |
| _version_ | 1803629579203510272 |
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| author | Mueen, Zeina Zaibidi, Nerda Zura Ramli, Razamin |
| author_facet | Mueen, Zeina Zaibidi, Nerda Zura Ramli, Razamin |
| author_sort | Mueen, Zeina |
| collection | UUM |
| description | In this paper, a procedure to establish the different performance measures in terms of crisp value is proposed for two classes of arrivals and multiple channel queueing models, where both arrival and service rate are fuzzy numbers. The main idea is to convert the arrival rates and service rates under fuzzy queues into crisp queues by using graded mean integration approach, which can be represented as median rule number. Hence, we apply the crisp values obtained to establish the performance measure of conventional multiple queueing models. This procedure has shown its effectiveness when incorporated with many types of membership functions in solving queuing problems. Two numerical illustrations are presented to determine the validity of the procedure in this queueing model, which involved using trapezoidal and hexagonal fuzzy numbers. It can be concluded that graded mean integration approach is efficient with fuzzy queueing models to convert fuzzy queues into crisp queues. This finding has contributed to the body of knowledge by suggesting a new procedure of defuzzification as another efficient alternative. |
| first_indexed | 2024-07-04T06:40:05Z |
| format | Article |
| id | uum-29086 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:40:05Z |
| publishDate | 2022 |
| publisher | UUM Press |
| record_format | dspace |
| spelling | uum-290862023-02-12T08:12:43Z https://repo.uum.edu.my/id/eprint/29086/ Performance measure of multiple-channel queueing systems with imprecise data using graded mean integration for trapezoidal and hexagonal fuzzy numbers Mueen, Zeina Zaibidi, Nerda Zura Ramli, Razamin QA75 Electronic computers. Computer science In this paper, a procedure to establish the different performance measures in terms of crisp value is proposed for two classes of arrivals and multiple channel queueing models, where both arrival and service rate are fuzzy numbers. The main idea is to convert the arrival rates and service rates under fuzzy queues into crisp queues by using graded mean integration approach, which can be represented as median rule number. Hence, we apply the crisp values obtained to establish the performance measure of conventional multiple queueing models. This procedure has shown its effectiveness when incorporated with many types of membership functions in solving queuing problems. Two numerical illustrations are presented to determine the validity of the procedure in this queueing model, which involved using trapezoidal and hexagonal fuzzy numbers. It can be concluded that graded mean integration approach is efficient with fuzzy queueing models to convert fuzzy queues into crisp queues. This finding has contributed to the body of knowledge by suggesting a new procedure of defuzzification as another efficient alternative. UUM Press 2022 Article PeerReviewed application/pdf en cc4_by https://repo.uum.edu.my/id/eprint/29086/1/JCIA%2001%2002%202022%201-13.pdf Mueen, Zeina and Zaibidi, Nerda Zura and Ramli, Razamin (2022) Performance measure of multiple-channel queueing systems with imprecise data using graded mean integration for trapezoidal and hexagonal fuzzy numbers. Journal of Computational Innovation and Analytics (JCIA), 1 (2). pp. 1-13. ISSN 2821-3408 https://e-journal.uum.edu.my/index.php/jcia/article/view/15197 https://doi.org/10.32890/jcia2022.1.2.1 https://doi.org/10.32890/jcia2022.1.2.1 |
| spellingShingle | QA75 Electronic computers. Computer science Mueen, Zeina Zaibidi, Nerda Zura Ramli, Razamin Performance measure of multiple-channel queueing systems with imprecise data using graded mean integration for trapezoidal and hexagonal fuzzy numbers |
| title | Performance measure of multiple-channel queueing systems with imprecise data using graded mean integration for trapezoidal and hexagonal fuzzy numbers |
| title_full | Performance measure of multiple-channel queueing systems with imprecise data using graded mean integration for trapezoidal and hexagonal fuzzy numbers |
| title_fullStr | Performance measure of multiple-channel queueing systems with imprecise data using graded mean integration for trapezoidal and hexagonal fuzzy numbers |
| title_full_unstemmed | Performance measure of multiple-channel queueing systems with imprecise data using graded mean integration for trapezoidal and hexagonal fuzzy numbers |
| title_short | Performance measure of multiple-channel queueing systems with imprecise data using graded mean integration for trapezoidal and hexagonal fuzzy numbers |
| title_sort | performance measure of multiple channel queueing systems with imprecise data using graded mean integration for trapezoidal and hexagonal fuzzy numbers |
| topic | QA75 Electronic computers. Computer science |
| url | https://repo.uum.edu.my/id/eprint/29086/1/JCIA%2001%2002%202022%201-13.pdf https://doi.org/10.32890/jcia2022.1.2.1 |
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