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The M/G/1 processor-sharing queue with disasters

✍ Scribed by Quan-Lin Li; Chuang Lin

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
573 KB
Volume
51
Category
Article
ISSN
0898-1221

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✦ Synopsis

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 sojourn time is derived, and the Laplace transform of the busy period and its mean are obtained. Also, the approach developed in this paper is shown to be able to study more complicated M/G/1 processor-sharing models.

πŸ“œ SIMILAR VOLUMES

The uniform estimation of the M/G/1 proc
The uniform estimation of the M/G/1 processor sharing response time distribution
✍ Hartmann, Harro L. πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 502 KB

## 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 differential‐recurrence backward equation system valid for the M/M/1 processor sharing (PS) is converted to a sum of a s