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Analysis of Repairable Geo/G/1 Queues with Negative Customers

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  • Doo Ho Lee
  • Kilhwan Kim

Abstract

We consider discrete-time Geo/G/1 queues with negative customers and a repairable server. The server is subject to failure due to a negative customer arrival. As soon as a negative customer arrives at a system, the server fails and one positive (ordinary) customer is forced to leave. At a failure instant, the server is turned off and the repair process immediately begins. We construct the mathematical model and present the probability generating functions of the system size distribution and the FCFS sojourn time distribution. Finally, some numerical examples are given to show the influence of negative customer arrival on the performance measures of the system.

Suggested Citation

  • Doo Ho Lee & Kilhwan Kim, 2014. "Analysis of Repairable Geo/G/1 Queues with Negative Customers," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-10, December.
    • Handle: RePEc:hin:jnljam:350621
    DOI: 10.1155/2014/350621
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    Cited by:

    1. Yangyang Zhuang & Pan Tang, 2023. "Pricing of American Parisian option as executive option based on the least‐squares Monte Carlo approach," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 43(10), pages 1469-1496, October.

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