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Cost optimisation of a discrete-time retrial queue with Bernoulli feedback and starting failure

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  • Shweta Upadhyaya

Abstract

In this paper, we explore the performance characteristics of a discrete-time Geo/G/1 retrial queue with Bernoulli feedback where the server is subjected to starting failure. On the arrival of a customer, the server may either resume its service successfully with probability υ or may not resume its service successfully with probability ῡ = 1 − υ due to some faults which in turn force the server to repair and the customer may join the orbit. The service time, retrial time and repair time are general distributed. The purpose of this paper is two-fold. Firstly, we use generating function method and supplementary variable technique to derive expressions for system size, orbit size and other performance measures. Secondly, for a cost-effective system, we have found the optimal values of some critical system parameters such that the total system cost is minimised using particle swarm optimisation (PSO) technique. Finally, sensitivity analysis is also provided.

Suggested Citation

  • Shweta Upadhyaya, 2020. "Cost optimisation of a discrete-time retrial queue with Bernoulli feedback and starting failure," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 36(2), pages 165-196.
    • Handle: RePEc:ids:ijisen:v:36:y:2020:i:2:p:165-196
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    Cited by:

    1. R. Harini & K. Indhira, 2024. "Meta heuristic optimization of a batch arrival retrial queue with optional re-service and M-optional vacations," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(9), pages 4252-4282, September.
    2. R. Harini & K. Indhira, 2024. "Dynamical modelling and cost optimization of a 5G base station for energy conservation using feedback retrial queue with sleeping strategy," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 86(4), pages 661-690, August.

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