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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/18697


    请使用永久网址来引用或连结此文件: http://nccur.lib.nccu.edu.tw/handle/140.119/18697


    题名: Threshold control policies for heterogeneous server systems
    作者: Luh, Hsing Paul
    陸行
    Viniotis Ioannis
    关键词: Queueing;Linear Programming;Dynamic Programming;Markov Processes
    日期: 2002-01
    上传时间: 2008-12-24 13:29:46 (UTC+8)
    摘要: We study the problem of optimally controlling a multiserver queueing system. Customers arrive in a Poisson fashion and join a single queue, served by N servers, S 1,S 2,… , S N. The servers have different rates. The service times at each server are independent and exponentially distributed. The objective is to determine the policy which minimizes the average number of customers in the system. We show that any optimal, nonpreemptive policy is of threshold type, i.e., it assigns a customer to server S i, if this server is the fastest server available and the number of customers in the queue is m i or more. The threshold m i may depend on the condition of other (slower) servers at the decision instant. In order to establish the results, we reformulate the optimal control problem as a linear program and use a novel argument based on the structure of the constraint matrix.
    關聯: Mathematical Methods of Operations Research,55(1),121-242
    数据类型: article
    DOI 連結: http://dx.doi.org/10.1007/s001860100168
    DOI: 10.1007/s001860100168
    显示于类别:[應用數學系] 期刊論文

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