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: | Bobbio A., Trivedi K.S. |
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.