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Dergiler / 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
Sayfa
181–191
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri:A numerical example is solved successfully to illustrate the validity of the proposed approach.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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