具有违约顾客和部分故障的流排队均衡策略研究  

Equilibrium strategies of fluid queue with customer reneging and partial-breakdown

作　　者：叶晴晴 李紫晔 Ye Qingqing;Li Ziye(School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China)

机构地区：[1]南京信息工程大学数学与统计学院,南京210044

出　　处：《河南师范大学学报（自然科学版）》2024年第6期55-62,共8页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11901307)。

摘　　要：为了研究顾客违约对系统的影响,考虑了具有违约顾客和部分故障的流体排队模型,首先根据“报酬-成本”函数,分析了流体的均衡阈值策略;接着应用更新报酬定理得到了系统的稳态分布,进而推导出均衡吞吐量和均衡社会收益;最后通过数值例子分析了一些参数对系统指标的影响.研究发现,顾客违约对于均衡社会收益有一定的影响.特别地,当系统高负荷运转时,即流体到达率大于正常工作期的服务速率时,允许违约情形下的社会收益要优于不允许违约情形下的社会收益.To analyze the effect of reneging customer on the queueing system,we consider the fluid model with reneging customer and partial-breakdown policy.Firstly,the equilibrium threshold strategies are studied based on the"reward-cost"structure.Secondly,the equilibrium throughout and equilibrium social welfare are derived by using the renewal-reward theorem.Finally,some numerical examples are presented to illustrate the influence of key parameters on system performance measures.It reveals that the existence of the reneging option is very beneficial to overloaded systems,i.e.,for such systems balking alone is not sufficient to achieve good outcomes.

关 键 词：流排队 均衡策略 违约 社会收益 

分 类 号：O226[理学—运筹学与控制论]