具有Bernoulli反馈的Geom/Geom/1单重休假排队

摘要

本文研究具有反馈的的Geom/Geom/1休假排队。完成服务的顾客以概率（0≤σ≤1）等待下次服务,以概率σ离开系统.运用拟生灭过程和矩阵几何解方法得到队长的稳态分布的存在条件和表达式,进而求出系统队长稳态分布的随机分解.此外,利用了数值例子进一步反映参数对平均队长的影响。%The paper deals with a Geom/Geom/1 Bernoulli feedback queue with single vacation. The customer may leave the system with probability （0≤σ≤1） , or feedback with probabilityσ .Using QBD （quasi birth and death） process and matrix--geometric solution, we obtain the steady--state distributions for the number of customers in the system. We also provide some numerical results to illustrate the effect of the parameters on several performance characteristics.