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On the study of simultaneous service by random number of servers with retrial and preemptive priority

Author

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  • Resham Vinayak
  • S. Dharmaraja
  • Viswanathan Arunachalam

Abstract

In this paper, we propose to study the performance of a multi-server queuing system in which a customer requires simultaneous service from a random number of servers with the queuing disciplines retrial and preemptive priority. The infinitesimal generator matrix is presented for the proposed model and steady state measures are discussed. In particular, analytical expressions are obtained for the case where a customer (single type) requires simultaneous service from a random number of servers. Also, the generalised stochastic Petri net (GSPN) is developed for the proposed model and the particular cases. The performance of the models is analysed and compared, in terms of average system size and throughput. It is found that queuing systems in which a customer requires simultaneous service from a random number of servers performs better when the queuing discipline of retrial is appended into the system.

Suggested Citation

  • Resham Vinayak & S. Dharmaraja & Viswanathan Arunachalam, 2014. "On the study of simultaneous service by random number of servers with retrial and preemptive priority," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 20(1), pages 68-90.
    • Handle: RePEc:ids:ijores:v:20:y:2014:i:1:p:68-90
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    Cited by:

    1. Ansari, Sardar & Yoon, Soovin & Albert, Laura A., 2017. "An approximate hypercube model for public service systems with co-located servers and multiple response," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 103(C), pages 143-157.

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