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- Title
Optimization Analysis of the N Policy M/G/1 Queue with Working Breakdowns.
- Authors
Yen, Tseng-Chang; Wang, Kuo-Hsiung; Chen, Jia-Yu
- Abstract
This paper deals with the N policy M/G/1 queue with working breakdowns. The supplementary variable and probability generating function techniques are implemented to develop the steady-state results. The stability condition of a stable queue, as well as several system performance measures, are also derived. A two-stage optimization method is employed to determine the optimal threshold N and the optimal joint values of two mean service rates until the stability constraint is satisfied. To demonstrate the effectiveness of two-stage optimization method, some numerical results are presented. Finally, we carry out sensitivity analysis for the expected cost function with numerical illustrations.
- Subjects
NUMERICAL functions; POLICY analysis; GENERATING functions; COST functions; SENSITIVITY analysis; QUEUING theory
- Publication
Symmetry (20738994), 2020, Vol 12, Issue 4, p583
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym12040583