多重假期中以概率p进入的M/G/1可修排队系统

摘要

考虑在服务员假期中到达的顾客以概率p(0＜p≤1)进入系统的多重休假M/G/1可修排队系统,运用全概率分解技术和拉普拉斯变换,研究了服务台的下列可靠性指标:1)首次失效前的寿命分布；2)瞬时不可用度和稳态不可用度；3)在(0,t]时间内的平均失效次数.获得了服务台一系列的可靠性结果.%This paper considers a M/G/l repairable queueing system with multiple server vacations in which the customers who arrive during server vacation enter the system with probability p(0 ≤1). By using the total probability decomposition method and Laplace transform, the following reliability indices of the service station are discussed: 1) The probability distribution of the first failure time; 2) The point-wise unavailability and the stead-state unavailability; 3) The expected failure number during a given (0, t]. Some reliability results of the service station are obtained.