服务台可并行服务的排队系统研究  

Study of the Queuing System in Which the Server Can Parallel Service

作　　者：王光[1] 李向军[1] 魏轶华[2] 

机构地区：[1]西安文理学院信息工程学院,陕西西安710065 [2]上海大学管理学院,上海200444

出　　处：《应用数学》2017年第1期188-193,共6页Mathematica Applicata

基　　金：国家自然科学基金(71302053);陕西省自然科学基础研究计划项目(2014JM2-6118)

摘　　要：本文研究服务台可以同时并行服务多个顾客的排队系统.目前这一类新的排队问题在实践中经常出现,但却缺乏相应的理论模型,实际决策都是凭经验进行的.针对这一现状,本文首先构建相应的并行排队模型,使得服务台数量、可并行服务的最大顾客数量等重要决策变得科学化.进一步,针对并行排队模型比较复杂、求解比较困难的情况,构建相应的分散排队模型与集中排队模型,它们的求解简单方便,其结果可以有效的逼近原并行排队模型的最优解.Many new queuing problems have emerged, in which a server can parallel services multiple customers simultaneous. But there is lack of correlation theories and models for those queuing problems, decision in those problems is made by experience. In view of the present situation, a parallel queueing model is constructed, makes the correlation decision-making, such as the number of severs, the maximum parallel service number ect., become scientific. But the model is difficult to solve, so that both a decentralize queuing model and a centralize queuing model are constructed, there solution can be used to effectively approximated optimal solution of the original parallel queueing model.

关 键 词：并行服务 平均等待时间 分散排队 集中排队 

分 类 号：F224.34[经济管理—国民经济]