具有不同故障和延迟维修的重试队列的优化分析  

Optimization Analysis of Retrial Queues with Different Breakdowns and Delayed Repairs

作　　者：韩云娜 

机构地区：[1]燕山大学理学院,河北 秦皇岛

出　　处：《统计学与应用》2023年第2期332-338,共7页Statistical and Application

摘　　要：本文研究具有两种类型故障和延迟维修的M/M/1重试队列。在稳态条件下,我们得到了服务台状态和轨道顾客数的概率母函数的表达式。建立了以期望成本最小化和顾客期望等待时间最小化为目标的双目标优化模型。拟议的分析办法使我们能够在成本费用和服务质量之间取得适当的平衡。In this paper we study M/M/1 retrial queues with two types of breakdowns and delayed repairs. Under steady-state conditions, we obtain expressions for the probability generating functions of the server state and the number of orbital customers. A bi-objective optimization model with the objectives of minimizing the expected cost and minimizing the expected waiting time of the customers is developed. The proposed analytical approach allows us to achieve an appropriate balance between operational costs and service quality.

关 键 词：重试排队 负顾客 被动故障 延迟维修 双目标优化 

分 类 号：O22[理学—运筹学与控制论]