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Analysis of State Dependent Vacation Queues with Threshold Gated Service Policy

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  • Yew Sing

    (University of Illinois at Chicago, USA)

Abstract

In this article, the authors introduce a simple approach for modeling and analyzing a queue where the server may take repeated vacations. When a busy period ends, the server takes a vacation of random duration. At the end of each vacation, the server may either start a new vacation or resume service. If a queue is found of less than customers, the server will always take a new vacation. If there are at least customers in queue, the server provides services to those customers after a brief set-up time. The authors obtain several performance measures of the system, including the mean and second moment of the cycle time, the number of customers in a cycle of service, and the expected delay experienced by a customer.

Suggested Citation

  • Yew Sing, 2010. "Analysis of State Dependent Vacation Queues with Threshold Gated Service Policy," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 1(2), pages 32-49, April.
    • Handle: RePEc:igg:joris0:v:1:y:2010:i:2:p:32-49
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