Sojourn time distribution in the M/M/1 queue with discriminatory processor-sharing
β Scribed by Jeongsim Kim; Bara Kim
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 275 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0166-5316
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π SIMILAR VOLUMES
In this paper, the M/G/1 processor-sharing queue with disasters is given a detailed analysis by means of extending the supplementary variable method. The transient and steady-state distributions of the queue length are expressed as a simple and computable form, the Laplace-Stieltjes transform of the
Mean sojourn time is one of the most important performance measures for queueing systems. It is difficult to obtain the real sojourn time of a customer directly~ so it is also difficult to estimate the mean sojourn time. In this paper, we propose a new and relatively simple estimate of the mean sojo
## Abstract This contribution avoids frequently used transform and inversion problems by a decomposition of the transition state model in the original domain. First, the relevant differentialβrecurrence backward equation system valid for the M/M/1 processor sharing (PS) is converted to a sum of a s