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A fuzzy based threshold policy for a single server retrial queue with vacations

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  • Seyed Khodadadi
  • Fariborz Jolai

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. Copyright Springer-Verlag 2012

Suggested Citation

  • Seyed Khodadadi & Fariborz Jolai, 2012. "A fuzzy based threshold policy for a single server retrial queue with vacations," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(2), pages 281-297, June.
    • Handle: RePEc:spr:cejnor:v:20:y:2012:i:2:p:281-297
    DOI: 10.1007/s10100-010-0169-0
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    References listed on IDEAS

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    1. Artalejo, J.R. & Economou, A. & Lopez-Herrero, M.J., 2007. "Algorithmic approximations for the busy period distribution of the M/M/c retrial queue," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1687-1702, February.
    2. D. Arivudainambi & I. Averbakh & O. Berman, 2009. "Stationary analysis of a single server retrial queue with priority and vacation," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 5(1), pages 26-47.
    3. Feng, Wei & Adachi, Kouichi & Kowada, Masashi, 2002. "A two-queue and two-server model with a threshold-based control service policy," European Journal of Operational Research, Elsevier, vol. 137(3), pages 593-611, March.
    4. Ke, Jau-Chuan & Huang, Hsin-I & Lin, Chuen-Horng, 2007. "On retrial queueing model with fuzzy parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 272-280.
    5. Artalejo, J. R. & Gomez-Corral, A. & Neuts, M. F., 2001. "Analysis of multiserver queues with constant retrial rate," European Journal of Operational Research, Elsevier, vol. 135(3), pages 569-581, December.
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    Cited by:

    1. Meena, Rakesh Kumar & Jain, Madhu & Sanga, Sudeep Singh & Assad, Assif, 2019. "Fuzzy modeling and harmony search optimization for machining system with general repair, standby support and vacation," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 858-873.

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