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Journals / Mathematical and Computational Applications / 2006 / Cilt: 11 - Sayı: 3

A batch-arrival queue with multiple servers and fuzzy parameters: Parametric programming approach

Jau-Chuan KE
Hsin-I HUANG
Chuen-Horng LIN
Pages
181–191
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Because the system characteristics are expressed and governed by the membership functions, the fuzzy batch-arrival queues with multiple servers are represented more accurately and the analytic results are more useful for system designers and practitioners.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This work constructs the membership functions of the system characteristics of a batch-arrival queuing system with multiple servers, in which the batch-arrival rate and customer service rate are all fuzzy numbers.
📊
Key Findings & Data:A numerical example is solved successfully to illustrate the validity of the proposed approach.
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Conclusion & Impact:Because the system characteristics are expressed and governed by the membership functions, the fuzzy batch-arrival queues with multiple servers are represented more accurately and the analytic results are more useful for system designers and practitioners.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This work constructs the membership functions of the system characteristics of a batch-arrival queuing system with multiple servers, in which the batch-arrival rate and customer service rate are all fuzzy numbers. The -cut approach is used to transform a fuzzy queue into a family of conventional crisp queues in this context. By means of the membership functions of the system characteristics, a set of parametric nonlinear programs is developed to describe the family of crisp batch-arrival queues with multiple servers. A numerical example is solved successfully to illustrate the validity of the proposed approach. Because the system characteristics are expressed and governed by the membership functions, the fuzzy batch-arrival queues with multiple servers are represented more accurately and the analytic results are more useful for system designers and practitioners.

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Cite This Article

KE, J., HUANG, H., LIN, C. (2006). A batch-arrival queue with multiple servers and fuzzy parameters: Parametric programming approach. Mathematical and Computational Applications, Cilt: 11 - Sayı: 3, 181–191. https://ajindex.com/articles/280440

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