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dc.contributor.authorAbolnikov, Lev M.
dc.contributor.authorDukhovny, Alexander M.
dc.contributor.authorDshalalow, Jewgeni H.
dc.date.accessioned2014-11-18T14:57:32Z
dc.date.available2014-11-18T14:57:32Z
dc.date.issued1990
dc.identifier.citationLev Abolnikov, Jewgeni H. Dshalalow, and Alexander M. Dukhovny. (1990) On some queue length controlled stochastic processes. Journal of Applied Mathematics and Stochastic Analysis, vol. 3, no. 4, pp. 227-244, 1990.en_US
dc.identifier.urihttp://hdl.handle.net/11141/410
dc.description.abstractThe authors study the input, output and queueing processes in a general controlled single-server bulk queueing system. It is supposed that inter-arrival time, service time, batch size of arriving units and the capacity of the server depend on the queue length. The authors establish an ergodicity criterion for both the queueing process with continuous time parameter and the embedded process, study their transient and steady state behavior and prove ergodic theorems for some functionals of the input, output and queueing processes. The following results are obtained: Invariant probability measure of the embedded process, stationary distribution of the process with continuous time parameter, expected value of a busy period, rates of input and output processes and the relative speed of convergence of the expected queue length. Various examples (including an optimization problem) illustrate methods developed in the paper.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/apm/apc/en_US
dc.titleOn some queue length controlled stochastic processesen_US
dc.typeArticleen_US
dc.identifier.doi10.1155/S1048953390000211


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