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Computation and optimization of a working breakdown queue with second optional service.
- Source :
-
Journal of Industrial & Production Engineering . Apr2018, Vol. 35 Issue 3, p181-188. 8p. - Publication Year :
- 2018
-
Abstract
- This paper considers an M/M/1 queue with second optional service, in which the server is subject to working breakdowns and repairs. All arriving customers require the first essential service, whereas only a portion of them require a second optional service. In case where the server may break down while providing the first (essential) or second (optional) service, the server continues operation at a reduced level rather than ceasing service entirely. The stability condition for this queue is derived in explicit form. The matrix-geometric method is used to compute the stationary probability distribution of the system size and various system performance measures. The genetic algorithm is applied to a cost optimization problem with the aim of optimizing service rates by minimizing the expected cost per unit time. Finally, a numerical example is presented for illustrative purposes. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GENETIC algorithms
*STOCHASTIC analysis
Subjects
Details
- Language :
- English
- ISSN :
- 21681015
- Volume :
- 35
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Industrial & Production Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 129370360
- Full Text :
- https://doi.org/10.1080/21681015.2018.1439113