重庆工商大学学报（自然科学版）2016，Vol.33Issue(6)：8-14,7.DOI:10.16055/j.issn.1672-058X.2016.0006.002
交互环境下带有启动时间的清空排队系统分析∗
Analysis of a Clearing Queueing System with Setup Times in Alternating Environment
摘要
Abstract
This paper studies a Markovian clearing queuing system with setup times in alternating enviro⁃nment. At the completion of exponential service cycles, the server removes all present customers. The system operates in an alternating environment which may influences the arrival rate of the customers and the transportation facility (i.e., service rate). Upon their arrivals, customers decide whether to join or balk the system based on a natural linear “reward⁃cost” structure. According to the different states of system, we derive the balking strategies of customers, the stationary distribution of system state, the mean queue length and the social optimal benefit. Finally, some numerical examples are presented.关键词
清空排队系统/交互随机环境/启动时间/“收益-成本”结构/顾客止步Key words
clearing queueing system/alternating stochastic environment/setup times/“reward-cost”structure/balking of customer分类
数理科学引用本文复制引用
朱媛媛,刘力维,姜涛..交互环境下带有启动时间的清空排队系统分析∗[J].重庆工商大学学报（自然科学版）,2016,33(6):8-14,7.基金项目
国家自然科学基金（11471160）． （）
