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Analysis of State Dependent Vacation Queues with Threshold Gated Service Policy

Analysis of State Dependent Vacation Queues with Threshold Gated Service Policy

Yew Sing
Copyright: © 2010 |Volume: 1 |Issue: 2 |Pages: 18
ISSN: 1947-9328|EISSN: 1947-9336|EISBN13: 9781609604530|DOI: 10.4018/joris.2010040103
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MLA

Sing, Yew. "Analysis of State Dependent Vacation Queues with Threshold Gated Service Policy." IJORIS vol.1, no.2 2010: pp.32-49. http://doi.org/10.4018/joris.2010040103

APA

Sing, Y. (2010). Analysis of State Dependent Vacation Queues with Threshold Gated Service Policy. International Journal of Operations Research and Information Systems (IJORIS), 1(2), 32-49. http://doi.org/10.4018/joris.2010040103

Chicago

Sing, Yew. "Analysis of State Dependent Vacation Queues with Threshold Gated Service Policy," International Journal of Operations Research and Information Systems (IJORIS) 1, no.2: 32-49. http://doi.org/10.4018/joris.2010040103

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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.

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