政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/68187

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 112871/143842 (78%)
Visitors : 49882983 Online Users : 731

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

Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer

政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/68187

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/68187

Title:	Optimal Selection of Arrival and Service Rates in Tandem Queues
Authors:	陸行 Luh, Hsing Moustaf, M.S.
Contributors:	應數系
Keywords:	Queueing networks;Markov decision processes;Stochastic linear programming;Sample-path arguments
Date:	2006
Issue Date:	2014-08-05 17:03:51 (UTC+8)
Abstract:	We consider n M/M/1 queues in series. At queue one the arrival and service rates are chosen in pair from a finite set whenever there are arrivals or service completions at any queue. Customers arriving to queue k (k = 1, 2, …, n - 1) must go on to queue k + 1 after finishing service at server associated queue k. Customers arriving to queue n leave the system after finishing service at the last server. Arrival and service rates are fixed at queues 2 to n. The objective is to minimize the expected discounted cost of the system over finite and infinite horizons. We show that there is a monotone hysteretic optimal policy in which the arrival and service rates are decreasing and increasing, respectively, in the queue length. In order to establish the result, we formulate the optimal control problem with an equivalent Linear Programming. We believe that many optimal control queueing problems, in which the dynamic programming formulation fails, can be treated successfully via Linear Programming techniques.
Relation:	International Journal of Operations Research,3(1),1-6
Source URI:	http://www.orstw.org.tw/ijor/6_volume3_no1.html
Data Type:	article
Appears in Collections:	[應用數學系] 期刊論文

Files in This Item:

File	Description	Size	Format
01-06.pdf		258Kb	Adobe PDF2	465	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...