Stochastic Monotonicity of the Output Process of Parallel Queues.

dc.contributor.authorTsoucas, P.en_US
dc.contributor.departmentISRen_US
dc.date.accessioned2007-05-23T09:43:53Z
dc.date.available2007-05-23T09:43:53Z
dc.date.issued1989en_US
dc.description.abstractThis paper considers the output process of a system of K DOT /M/I queues in parallel with Bernoulli routing of jobs upon arrival. It is shown that the output process is stochastically increasing as the routing probabilities approach 1/K in a certain sense. The proof crucially depends on the fact that the absolute value of a simple random walk is a time-homogeneous birth and death process.en_US
dc.format.extent215352 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/4901
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1989-56en_US
dc.titleStochastic Monotonicity of the Output Process of Parallel Queues.en_US
dc.typeTechnical Reporten_US

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