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dc.contributor.authorRussell, Gary
dc.contributor.authorDshalalow, Jewgeni H.
dc.date.accessioned2014-11-18T16:43:50Z
dc.date.available2014-11-18T16:43:50Z
dc.date.issued1991
dc.identifier.citationDshalalow, J., & Russell, G. (1992). On a single-server queue with fixed accumulation level, state dependent service, and semi-Markov modulated input flow. Journal of Mathematics and Mathematical Science, 15(3), 593.en_US
dc.identifier.urihttp://hdl.handle.net/11141/428
dc.description.abstractThe authors study the queueing process in a single-server queueing system with state dependent service and with the input modulated by a semi-Markov process embedded in the queueing process. It is also assumed that the server capacity is r≥1 and that any service act will not begin until the queue accumulates at least r units. In this model, therefore, idle periods also depend upon the queue length. The authors establish an ergodicity criterion for the queueing process and evaluate explicitly its stationary distribution and other characteristics of the system, such as the mean service cycle, intensity of the system, intensity of the input stream, distribution of the idle period, and the mean busy period. Various special cases are treated.en_US
dc.language.isoen_USen_US
dc.rightsThis published article is available in accordance with the publisher's policy. It may be subject to U.S. Copyright Law.en_US
dc.rights.urihttp://www.hindawi.com/journals/ijmms/en_US
dc.titleOn a single-server queue with fixed accumulation level, state dependent service, and semi-markov modulated input flowen_US
dc.typeArticleen_US
dc.identifier.doi10.1155/S0161171292000759


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