CAJ | 학술논문

本文研究了正负顾客到达均服从几何分布,服务台在工作休假期以较低的服务速率运行的Geom/Geom/1休假排队.运用嵌人马尔科夫链和矩阵分析法,得到了系统中等待队长和稳态队长的概率母函数,并从证明过程和结果中,分别得到了服务台在闲期、忙期、工作休假期、正规忙期的概率.
본문연구료정부고객도체균복종궤하분포,복무태재공작휴가기이교저적복무속솔운행적Geom/Geom/1휴가배대.운용감인마이과부련화구진분석법,득도료계통중등대대장화은태대장적개솔모함수,병종증명과정화결과중,분별득도료복무태재한기、망기、공작휴가기、정규망기적개솔.
In this paper,we analyze a discrete time Geom/Geom/1 queue with geometrical arrivals of both positive and negative customers in which the server works at a lower rate during working vacation.Using embedded Markov chain and the matrix analysis solution method,we derive the probability generating function (PGF) of the number of customers waiting in the system and stationary queue length.From the process of the proof and the results,we also obtain the probabilities that the server is idle,busy,in working vacation and in regular busy period,respectively.