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基于M/M/1可修排队的顾客止步策略研究
引用本文:胡彦芳,李继红.基于M/M/1可修排队的顾客止步策略研究[J].太原师范学院学报(自然科学版),2013(1):35-39.
作者姓名:胡彦芳  李继红
作者单位:山西大学数学科学学院;山西大学管理科学与工程研究所
摘    要:文章将决策行为引入排队模型,研究M/M/l可修排队系统中顾客的优化止步策略.当故障发生时,所有顾客被迫离开系统,服务台开始修复,修复时间服从指数分布.在可见排队的前提下,基于“收益一成本”结构,构建顾客个人的收益函数,分析并确定出顾客均衡策略,同时通过实验得到定性数值结论.

关 键 词:可修排队系统  顾客止步  “收益一成本”结构  顾客均衡策略

Analysis of Optimal Balking Strategies for Customers in M/M/1 Repairable Queue
Hu Yanfang,Li Jihong.Analysis of Optimal Balking Strategies for Customers in M/M/1 Repairable Queue[J].Journal of Taiyuan Normal University:Natural Science Edition,2013(1):35-39.
Authors:Hu Yanfang  Li Jihong
Institution:1.School of Mathematical Science,Shanxi University,Taiyuan 030006;2.Institute of Management Science and Engineering,Shanxi University,Taiyuan 030006,China)
Abstract:The decision-making behavior is introduced into the queuing models, and the customer optimal balking strategies in the M/M/1 repairable queue have been studied. Whenever a catastrophe occurs,all customers are forced to abandon the system,the server is rendered inop- erative and an exponential repair time is set on. On the premise of observable queue, based on a natural reward-cost structure, the overall profit function about th structed,the customer equilibrium balking strategies are analyzed some qualitative numerical conclusions are derived by the means of e individual customer is con- and determined. Meanwhile, experiments.
Keywords:repairable queue  customer balking reward-cost structure customer equilibri-um srtategies
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