A parametric programming solution to the F-policy queue with fuzzy parameters

This paper investigates the F-policy queue using fuzzy parameters, in which the arrival rate, service rate, and start-up rate are all fuzzy numbers. The F-policy deals with the control of arrivals in a queueing system, in which the server requires a start-up time before allowing customers to enter....

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Veröffentlicht in:International journal of systems science Jg. 46; H. 4; S. 590 - 598
Hauptverfasser: Yang, Dong-Yuh, Chang, Po-Kai
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Taylor & Francis 12.03.2015
Schlagworte:
Crisps
Customers
F-policy
Fuzzy
Fuzzy logic
Fuzzy set theory
fuzzy sets
Mathematical analysis
Mathematical models
non-linear programming
queue
Queues
start-up
ISSN:0020-7721, 1464-5319
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Zusammenfassung:This paper investigates the F-policy queue using fuzzy parameters, in which the arrival rate, service rate, and start-up rate are all fuzzy numbers. The F-policy deals with the control of arrivals in a queueing system, in which the server requires a start-up time before allowing customers to enter. A crisp F-policy queueing system generalised to a fuzzy environment would be widely applicable; therefore, we apply the α-cuts approach and Zadeh's extension principle to transform fuzzy F-policy queues into a family of crisp F-policy queues. This study presents a mathematical programming approach applicable to the construction of membership functions for the expected number of customers in the system. Furthermore, we propose an efficient solution procedure to compute the membership function of the expected number of customers in the system under different levels of α. Finally, we give an example of the proposed system as applied to a case in the automotive industry to demonstrate its practicality.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2013.792975