The waiting time in the random order service G / M / m queue is studied. For the Laplace transform we obtain a simpler representation than previously available. For the moments, an explicit recursive algorithm is given and carried out numerically for some cases. This gives rise to the conjecture tha
Analysis of the M/G/1 queue with discriminatory random order service policy
โ Scribed by Jeongsim Kim; Jerim Kim; Bara Kim
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 575 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0166-5316
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
## Abstract The busy period, busy cycle, and the numbers of customers served and lost therein, of the __G/M/m__ queue with balking is studied via the embedded Markov chain approach. It is shown that the expectations of the two discrete variables give the loss probability. For the special case __G/M