The problem addressed in this paper is to compare the minimum cost of the two randomized control policies in the M/G/1 queueing system with an unreliable server, a second optional service, and general startup times. All arrived customers demand the first required service, and only some of the arrive
The well-posedness of an queue with second optional service and server breakdown
โ Scribed by Wen-Long Wang; Gen-Qi Xu
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 664 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
In this paper, the solution of an M/G/1 queue with second optional service and server breakdown is investigated. By using the method of functional analysis, especially, the linear operator theory and the C 0 semigroup theory on Banach space, we prove the wellposedness of the system, and show the existence of a positive solution.
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