异步休假M/M/C排队的稳态理论  

THE EQUILIBRIUM THEORY FOR QUEUEING SYSTEM M/M/c WITH ASYNCHRONOUS VACATIONS

作　　者：田乃硕[1] 高作峰[1] 张忠君[1] 

机构地区：[1]燕山大学数理系,秦皇岛066004

出　　处：《应用数学学报》2001年第2期185-194,共10页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金资助项目(19871072号)

摘　　要：本文研究异步休假的Ｍ／Ｍ／Ｃ排队，对多重休假和单重休假两类模型给出了统一的处理．得到了稳态队长、等待时间分布．提出了条件随机分解的概念，证明服务台全忙条件下系统中排队顾客数和等待时间均可分解为两个独立随机变量之和，其中一个是经典无休假系统中对应的条件随机变量．This paper considers the M/M/c queue with asynchronous vacations. We give unify a detailed analysis for the multiple vacation model and the single vacation models. The distributions of the stable queuelength and the waiting time are obtained. The emphasis is upon obtaining the conditional stochastic decompositions of stationary queue length and waiting time conditioned by the event (J= c), where the event (J = c) denotes that all of the c servers are busy.

关 键 词：异步休假 条件随机分解 率阵 矩阵几何解 相型分布 M/M/C排队 单服务台休假 多台休假模型 

分 类 号：O226[理学—运筹学与控制论]