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題名 Threshold control policies for heterogeneous server systems
作者 Luh, Hsing Paul
陸行
Viniotis Ioannis
關鍵詞 Queueing ;
     Linear Programming ;
     Dynamic Programming ;
     Markov Processes
日期 2002-01
上傳時間 24-Dec-2008 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
資料類型 article
DOI http://dx.doi.org/10.1007/s001860100168
dc.creator (作者) Luh, Hsing Paulen_US
dc.creator (作者) 陸行-
dc.creator (作者) Viniotis Ioannisen_US
dc.date (日期) 2002-01en_US
dc.date.accessioned 24-Dec-2008 13:29:46 (UTC+8)-
dc.date.available 24-Dec-2008 13:29:46 (UTC+8)-
dc.date.issued (上傳時間) 24-Dec-2008 13:29:46 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/18697-
dc.description.abstract (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.-
dc.format application/en_US
dc.language enen_US
dc.language en-USen_US
dc.language.iso en_US-
dc.relation (關聯) Mathematical Methods of Operations Research,55(1),121-242en_US
dc.subject (關鍵詞) Queueing ;
     Linear Programming ;
     Dynamic Programming ;
     Markov Processes
-
dc.title (題名) Threshold control policies for heterogeneous server systemsen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1007/s001860100168-
dc.doi.uri (DOI) http://dx.doi.org/10.1007/s001860100168-