ANALYSIS OF A FLUID MODEL DRIVEN BY AN M/M/C VACATION QUEUE

作者：Xu Xiuli^*; Liu Xiaoyan; Yue Wuyi; Mei Ning

来源：Pacific Journal of Optimization, 2013, 9(4): 651-661.

• fluid model
• buffer content
• multiple vacations
• the Laplace transform (LT)
• the Laplace-Stieltjes transform (LST)

A fluid queue is an input-output system where a continuous fluid enters and leaves a storage device, called a buffer, according to a randomly varying rate influenced by an underling stochastic environment or background. This paper considers a fluid flow model driven by a multi-server M/M/c queue with classical vacation. We obtain the sets of differential equations satisfied by the stationary joint distribution of the buffer content, by which we gain the simple structure of the Laplace transform (LT) for the stationary distribution of the buffer content. Furthermore, we give the probability of an empty buffer content and the expected buffer content based on the relationship between the LT and the Laplace-Stieltjes transform (LST) of the stationary distribution.

• 出版日期2013-10
• 单位燕山大学