Analysis of M/G/1 Queue Model with Priority
Pure and Applied Mathematics Journal
Volume 2, Issue 2, April 2013, Pages: 94-97
Received: Mar. 17, 2013; Published: Apr. 2, 2013
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Author
Pan Quanru, School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212003, China
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Abstract
Due to the queue phenomenon different customers needing different service quality, a model is established as follows: there are two types of customers in the system and their arrival rates are different; first-class customers have no preemptive priority, the different service time for the different customers and all the service time obeys the general distribution. The following conclusions are drawn: the Laplace - Steele Kyrgyz transform of the low-priority customers’ waiting time stationary distribution; the average waiting time in the system of low priority customers; the Laplace - Steele Kyrgyz transform of the low-priority customers’ staying time stationary distribution; At last, this paper points out the problems to be solved.
Keywords
Non-Preemptive, Priority, General Distribution
To cite this article
Pan Quanru, Analysis of M/G/1 Queue Model with Priority, Pure and Applied Mathematics Journal. Vol. 2, No. 2, 2013, pp. 94-97. doi: 10.11648/j.pamj.20130202.16
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