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Optimization of an M/M/1/N feedback queue with retention of reneged customers

Author

Listed:
  • Rakesh Kumar
  • Narendra Kumar Jain
  • Bhupernder Kumar Som

Abstract

Customer impatience has become a threat to the business world. Firms employ various customer retention strategies to retain their impatient (or reneged) customers. Customer retention mechanisms may help to retain some or all impatient customers. Further, due to unsatisfactory service, customers may rejoin a queue immediately after departure. Such cases are referred to as feedback customers. Kumar and Sharma take this situation into account and study an M/M/1/N feedback queuing system with retention of reneged customers. They obtain only a steady-state solution for this model. In this paper, we extend the work of Kumar and Sharma by performing an economic analysis of the model. We develop a model for the costs incurred and perform the appropriate optimization. The optimum system capacity and optimum service rate are obtained.

Suggested Citation

  • Rakesh Kumar & Narendra Kumar Jain & Bhupernder Kumar Som, 2014. "Optimization of an M/M/1/N feedback queue with retention of reneged customers," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(3), pages 45-58.
    • Handle: RePEc:wut:journl:v:3:y:2014:p:45-58:id:1100
    DOI: 10.5277/ord140303
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    References listed on IDEAS

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    1. Xiaoyong Wu & Percy Brill & Myron Hlynka & Jinting Wang, 2005. "An M/G/1 retrial queue with balking and retrials during service," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 1(1/2), pages 30-51.
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    Cited by:

    1. Sanga, Sudeep Singh & Charan, Gannamaneni Sai, 2023. "Fuzzy modeling and cost optimization for machine repair problem with retrial under admission control F-policy and feedback," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 214-240.
    2. Agassi Melikov & Sevinj Aliyeva & János Sztrik, 2020. "Analysis of Instantaneous Feedback Queue with Heterogeneous Servers," Mathematics, MDPI, vol. 8(12), pages 1-16, December.
    3. Amina Angelika Bouchentouf & Mouloud Cherfaoui & Mohamed Boualem, 2019. "Performance and economic analysis of a single server feedback queueing model with vacation and impatient customers," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 300-323, March.

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