A fuzzy based threshold policy for a single server retrial queue with vacations |
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Authors: | Seyed Behrouz Khodadadi Fariborz Jolai |
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Institution: | (1) Departamento de Matem?tica Aplicada, Universidad de M?laga, M?laga, 29071, Spain;(2) Departamento de Matem?tica Aplicada, Universidad de La Habana, San L?zaro y L, Vedado, C. Habana, Cuba;(3) Departamento de Econom?a, M?todos Cuantitativos e Historia Econ?mica, Universidad Pablo de Olavide, Sevilla, 41013, Spain |
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Abstract: | In this paper we deal with a single server retrial queue with vacations. The server serves the customers until the system
becomes empty, then it takes a vacation. The system consists of two types of costs. The blocking cost is considered whenever
a customer is blocked either because of the server is busy or off. There is also a cost each time the server is turned on.
The problem is to find an effective policy for turning on the dormant server. We propose a Fuzzy Based Threshold Policy (FBTP)
to control the server, substitute for conventional threshold policies. The FBTP is based on four input parameters, an inference
stage and it is tuned up using a stochastic List Based Threshold Accepting (LBTA) algorithm. Simulation models are developed
to validate the fuzzy controller. Numerical experiments are provided to show that the proposed method is superior to crisp
threshold policies. |
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Keywords: | |
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