不可观察的N-策略工作休假M/M/1/Q排队系统分析  

Analysis of an unobservable M/M/1/Q queueing system with N-policy and working vacation

作　　者：张博[1] 李凯[1,2] ZHANG Bo;LI Kai(School of Management, Hefei University of Technology, Hefei 230009, China;Key Laboratory of Process Optimization and Intelligent Decision Making of Ministry of Education, Hefei 230009, China)

机构地区：[1]合肥工业大学管理学院,安徽合肥230009 [2]过程优化与智能化决策教育部重点实验室,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2021年第12期1709-1714,共6页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(71871076,71521001,71690235)。

摘　　要：文章考虑不可观察的N-策略工作休假M/M/1/Q排队系统,根据顾客到达系统时所观察到信息层次的不同分为几乎不可见队列和完全不可见队列2种情形进行讨论。首先利用马尔科夫过程理论建立了系统稳态概率方程组,然后求出了不同情形下的系统期望队长、顾客期望逗留时间以及单位时间期望社会收益等系统性能指标,最后通过数值模拟实验分析了不同参数对于系统性能的影响。This paper considers an unobservable M/M/1/Q queueing system with N-policy and working vacation,which is divided into two cases:almost unobservable queue and fully unobservable queue according to the information observed when the customer arrives at the system.Firstly,the Markov process theory is used to establish the steady-state probability equations of the system,and then the system performance indices such as expected system length,expected customer sojourn time and expected social benefit per unit time are obtained.Finally,the effects of different parameters on system performance are analyzed through numerical simulation experiments.

关 键 词：不可观察 N-策略 工作休假 M/M/1/Q排队系统 均值分析 

分 类 号：O226[理学—运筹学与控制论]