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Batch arrival Poisson queue with breakdown and repairs

Author

Listed:
  • Balasubramanian Sundar Rajan
  • V. Ganesan
  • Samikannu Rita

Abstract

This paper considers a single server bulk arrival queuing system in which the services performed in two different stages. The server must provide the two services simultaneously. The server may opt for vacation at the end of each second stage service of the unit. The system is subjected to repair due to random breakdown and the system demands two types of repairs. When the service of any unit interrupted due to breakdown, it goes back to the head of the queue. The processes used in this system are distributed according to some designed statistical distributions. The expected number of units in the system has been obtained.

Suggested Citation

  • Balasubramanian Sundar Rajan & V. Ganesan & Samikannu Rita, 2020. "Batch arrival Poisson queue with breakdown and repairs," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 17(3), pages 424-435.
    • Handle: RePEc:ids:ijmore:v:17:y:2020:i:3:p:424-435
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    Cited by:

    1. Lidiya P & K Julia Rose Mary, 2024. "A study on the performance of a queuing system with heterogeneous arrivals and various types of breakdowns under multiple working vacations," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 34(4), pages 125-140.

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