Analysis of State Dependent Vacation Queues with Threshold Gated Service Policy

Yew Sing
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Yew Sing: University of Illinois at Chicago, USA

International Journal of Operations Research and Information Systems (IJORIS), 2010, vol. 1, issue 2, 32-49

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:igg:joris0:v:1:y:2010:i:2:p:32-49

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