政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/18697

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 113311/144292 (79%)
Visitors : 50941123 Online Users : 957

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer

政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/18697

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/18697

Title:	Threshold control policies for heterogeneous server systems
Authors:	Luh, Hsing Paul 陸行 Viniotis Ioannis
Keywords:	Queueing;Linear Programming;Dynamic Programming;Markov Processes
Date:	2002-01
Issue Date:	2008-12-24 13:29:46 (UTC+8)
Abstract:	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.
Relation:	Mathematical Methods of Operations Research,55(1),121-242
Data Type:	article
DOI link:	http://dx.doi.org/10.1007/s001860100168
DOI:	10.1007/s001860100168
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

Files in This Item:

File	Description	Size	Format
121-142.pdf		197Kb	Adobe PDF2	905	View/Open

社群 sharing

著作權政策宣告 Copyright Announcement

1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.

Loading...