摘要
本文基于多重休假Geo/Geo/1离散时间排队,研究顾客的均衡混合门限策略.强调排队系统中的决策主体是顾客,突破了以往只注重研究服务机构单方面行为的局限.建立了"收入–支出"结构,利用预期净收益函数,量化顾客的决策意愿;根据拟生灭过程理论,对系统进行了稳态分析;进而构造适当的函数,给出了寻找均衡混合门限策略的具体方法,并给予了证明;最后通过数值实验讨论了均衡策略对系统各参数的敏感性.研究结果为管理者探讨排队系统中的定价问题提供了理论参考.
This paper studies the equilibrium mixed threshold strategies of customers in the Geo/Geo/1 queue under multiple vacation policy. Customers decide by themselves whether to join or to balk. A ＂reward-cost＂ structure is built and the expected net benefit function is made to reflect the desire of customers for service. Based on the theory of QBD processes, the station- ary system behavior is analyzed. By introducing several proper functions, the mixed threshold strategies are provided and proved to be equilibrium strategies. Finally, we present numerical experiments to demonstrate the sensitivity of the equilibrium mixed thresholds strategies with respect to the system parameters. The results provide useful reference information to managers on the pricing problem in queueing system.
出处
《工程数学学报》
CSCD
北大核心
2013年第1期19-28,共10页
Chinese Journal of Engineering Mathematics
基金
教育部人文社会科学研究项目(10YJC630114
07JA630027)
博士后研究项目(92169)~~
关键词
多重休假
拟生灭链
稳态分布
预期净收益
均衡混合门限策略
multiple vacations
quasi birth and death chain
steady-state distribution
ex-pected net benefit
equilibrium mixed threshold strategy
