Computation of the distribution of the completion time when the work requirement is a PH random variable

Computation of the distribution of the completion time when the work requirement is a PH random variable

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Article ID: iaor1990789
Country: United States
Volume: 6
Start Page Number: 1
End Page Number: 7
Publication Date: Mar 1990
Journal: Communications in Statistics - Stochastic Models
Authors: ,
Abstract:

In this paper the authors derive the distribution of the completion time of a job with a PH-distributed work requirement, on a server modeled by a homogeneous Markov reward process. The interactions between the job in progress and the server are allowed to be either of resume or of repeat type in a probabilistic manner. The paper shows that the distribution of the completion time of a job with PH distributed requirement is PH under any mixture of preemptive policies. This result is stated as a closure property of the PH distribution class.

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