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    Stochastic Monotonicity of the Output Process of Parallel Queues.

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    No. of downloads: 2398

    Date
    1989
    Author
    Tsoucas, P.
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    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.
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    http://hdl.handle.net/1903/4901
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