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Steady state analysis of batch arrival feedback retrial queue with two phases of service, negative customers, Bernoulli vacation and server breakdown

Author

Listed:
  • P. Rajadurai
  • V.M. Chandrasekaran
  • M.C. Saravanarajan

Abstract

In steady state, a batch arrival feedback retrial queue with negative customers has been discussed. Any arriving batch of positive customers finds the server is free, one of the customers from the batch enters into the service area and the rest of them join into the orbit/retrial group, where the server provides two essential phases of service to each positive customer. The negative customer, arriving during the service time of a positive customer, will remove the positive customer in-service and the interrupted positive customer either enters into the orbit with probability θ or leaves the system with probability 1-θ. The busy server may breakdown at any instant and the service channel will fail for a short interval of time. The steady state probability generating function for the system size is obtained by using the supplementary variable method. Numerical illustrations are analysed to see the effect of system parameters.

Suggested Citation

  • P. Rajadurai & V.M. Chandrasekaran & M.C. Saravanarajan, 2015. "Steady state analysis of batch arrival feedback retrial queue with two phases of service, negative customers, Bernoulli vacation and server breakdown," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 7(5), pages 519-546.
    • Handle: RePEc:ids:ijmore:v:7:y:2015:i:5:p:519-546
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    Cited by:

    1. P. Rajadurai & V. M. Chandrasekaran & M. C. Saravanarajan, 2016. "Analysis of an M[X]/G/1 unreliable retrial G-queue with orbital search and feedback under Bernoulli vacation schedule," OPSEARCH, Springer;Operational Research Society of India, vol. 53(1), pages 197-223, March.

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