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dc.contributor.authorDshalalow, Jewgeni H.
dc.date.accessioned2014-11-18T16:39:55Z
dc.date.available2014-11-18T16:39:55Z
dc.date.issued1996
dc.identifier.citationDshalalow, J. (1996). On applications of excess level processes to (N, D) - policy bulk queueing systems. Journal of Applied Mathematics and Stochastic Analysis, 9(4), 551.en_US
dc.identifier.urihttp://hdl.handle.net/11141/426
dc.descriptionThis article is dedicated to the memory of Roland L. Dobrushin.en_US
dc.description.abstractThe paper deals with queueing systems in which N- and D-policies are combined into one. This means that an idle or vacationing server will resume his service if the queueing or workload process crosses some specified fixed level N or D, respectively. For the proposed (N,D)-policy we study the queueing processes in models with and without server vacations, with compound Poisson input, and with generally distributed service and vacation periods. The analysis of the models is essentially based on fluctuation techniques for two-dimensional marked counting processes newly developed by the author. The results enable us to arrive at stationary distributions for the embedded and continuous time parameter queueing processes in closed analytic forms, enhancing the well-known Kendall formulas and their modifications.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/ijsa/apc/en_US
dc.titleOn applications of excess level processes to (N,D)-policy bulk queueing systemsen_US
dc.typeArticleen_US
dc.identifier.doi10.1155/S1048953396000457
dc.identifier.doi10.1155/S1048953397000269


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