Computation of the distribution of the completion time when the work requirement is a ph random variable
Publication
, Journal Article
Bobbio, A; Trivedi, KS
Published in: Communications in Statistics. Stochastic Models
January 1, 1990
In this paper we 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. © 1990, Taylor & Francis Group, LLC. All rights reserved.
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Published In
Communications in Statistics. Stochastic Models
DOI
ISSN
0882-0287
Publication Date
January 1, 1990
Volume
6
Issue
1
Start / End Page
133 / 150
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4901 Applied mathematics
- 0104 Statistics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
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Bobbio, A., & Trivedi, K. S. (1990). Computation of the distribution of the completion time when the work requirement is a ph random variable. Communications in Statistics. Stochastic Models, 6(1), 133–150. https://doi.org/10.1080/15326349908807140
Bobbio, A., and K. S. Trivedi. “Computation of the distribution of the completion time when the work requirement is a ph random variable.” Communications in Statistics. Stochastic Models 6, no. 1 (January 1, 1990): 133–50. https://doi.org/10.1080/15326349908807140.
Bobbio A, Trivedi KS. Computation of the distribution of the completion time when the work requirement is a ph random variable. Communications in Statistics Stochastic Models. 1990 Jan 1;6(1):133–50.
Bobbio, A., and K. S. Trivedi. “Computation of the distribution of the completion time when the work requirement is a ph random variable.” Communications in Statistics. Stochastic Models, vol. 6, no. 1, Jan. 1990, pp. 133–50. Scopus, doi:10.1080/15326349908807140.
Bobbio A, Trivedi KS. Computation of the distribution of the completion time when the work requirement is a ph random variable. Communications in Statistics Stochastic Models. 1990 Jan 1;6(1):133–150.
Published In
Communications in Statistics. Stochastic Models
DOI
ISSN
0882-0287
Publication Date
January 1, 1990
Volume
6
Issue
1
Start / End Page
133 / 150
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4901 Applied mathematics
- 0104 Statistics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics