CAJ | 학술논문

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。
본문연구구유반궤적적Geom/Geom/1휴가배대。완성복무적고객이개솔（0≤σ≤1）등대하차복무,이개솔σ리개계통.운용의생멸과정화구진궤하해방법득도대장적은태분포적존재조건화표체식,진이구출계통대장은태분포적수궤분해.차외,이용료수치례자진일보반영삼수대평균대장적영향。
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.