Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 42, Issue 7, Pages 1075-1083Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2011.570480
Keywords
analytical results; management policy; M/G/1 queue; sensitivity analysis
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In this article, we consider an infinite capacity N-policy M/G/1 queueing system with a single removable server. Poisson arrivals and general distribution service times are assumed. The server is controllable that may be turned on at arrival epochs or off at service completion epochs. We apply a differential technique to study system sensitivity, which examines the effect of different system input parameters on the system. A cost model for infinite capacity queueing system under steady-state condition is developed, to determine the optimal management policy at minimum cost. Analytical results for sensitivity analysis are derived. We also provide extensive numerical computations to illustrate the analytical sensitivity properties obtained. Finally, an application example is presented to demonstrate how the model could be used in real applications to obtain the optimal management policy.
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