Stochastic Monotonicity of the Output Process of Parallel Queues.
dc.contributor.author | Tsoucas, P. | en_US |
dc.contributor.department | ISR | en_US |
dc.date.accessioned | 2007-05-23T09:43:53Z | |
dc.date.available | 2007-05-23T09:43:53Z | |
dc.date.issued | 1989 | en_US |
dc.description.abstract | This 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.extent | 215352 bytes | |
dc.format.mimetype | application/pdf | |
dc.identifier.uri | http://hdl.handle.net/1903/4901 | |
dc.language.iso | en_US | en_US |
dc.relation.ispartofseries | ISR; TR 1989-56 | en_US |
dc.title | Stochastic Monotonicity of the Output Process of Parallel Queues. | en_US |
dc.type | Technical Report | en_US |
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