English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  Items with full text/Total items : 113318/144297 (79%)
Visitors : 50952383      Online Users : 958
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/32611
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/32611


    Title: 以向量表示求解有限佇列的計算方法
    Implementation of Vector Product-Form Approach in Ck/Cm/1/N Queueing Systems
    Authors: 陳瓏元
    Chen Lung Yuan
    Contributors: 陸行
    陳瓏元
    Chen Lung Yuan
    Keywords: 等候系統
    Queue
    Coxian distributions
    Vector product-forms
    Phase-type probability distributions
    Date: 2005
    Issue Date: 2009-09-17 13:50:46 (UTC+8)
    Abstract: 這一篇論文裡,我們討論如何計算開放式有限容量等候系統的穩定機率。其中到達時間和服務時間的機率分配都是Coxian分配。我們利用向量表示法(Product-Form Method)求解穩定機率,並建立C_{k}/C_{m}/1/4與C_{k}/C_{m}/1/6的穩定機率之表格。在使用向量表示法的過程中,計算所需的時間與系統容量無關。因此,在我們計算穩定機率的經驗中,當N>100時,我們可以明顯感覺出向量表示法比一般傳統方法有更快的計算速度。
    In this thesis, we study the C_{k}/C_{m}/1/N open queueing system with finite capacity, N. We use the product-form method to solve the steady-state probabilities and give tables of numerical results in examples of C_{k}/C_{m}/1/4 and C_{k}/C_{m}/1/6. The merit of this method is that the computation time is independent of N. In our computational experiments, we have observed that when the capacity size of queueing system, N>100, the computing efficiency of the product-form method is much better than that of a traditional method.
    Reference: Bellman R., Introduction to Matrix Analysis,MacGraw-Hill, London, (1960).
    Bertsimas D., An analytic approach to a general class
    of G/G/s queueing systems. Operations Research 38, 139-155, (1990).
    Chao, X., Pinedo, M. and Shaw, D.,An Assembly Network of Queues with Product Form Solution. Journal of Applied Probability, 33, 858-869, (1996).
    Chao, X., Miyazawa, M., Serfozo, R., and Takada. H., Necessary and sufficient conditions for product form queueing networks. Queueing Systems, Vol 28, 377-401,(1998).
    Le Boudec, J.Y., Steady-state probabilities of the PH/PH/1 queue. Queueing Systems 3, 73-88, (1988).
    Luh, H.\\, Matrix product-form solutions of stationary probabilities in tandem queues. Journal of the Operations Research 42-4, 436-656, (1999).
    Liu, S. Y. Invariant Subspace of Solving C_{k}/C_{m}/1, Master thesis National Chengchi University.(2004)
    Neuts, M.F., Matrix-Geometric Solutions in Stochastic Models. The John Hopkins University Press, (1981).
    Neuts, M.F., and Takahashi, Y., Asymptotic behavior of the stationary distributions in the GI/PH/c queue with heterogeneous servers. Z.\\ Wahrscheinlichkeitstheorie verw.\\ Gebiete, 57, 441-452, (1988).
    Wang, S. Y. A New Approach to Analyze Stationary Probability Distribution of a PH/PH/1/N Queue, Master thesis National Chengchi University.(2002)
    Description: 碩士
    國立政治大學
    應用數學研究所
    92751015
    94
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0927510151
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

    Files in This Item:

    File Description SizeFormat
    51015101.pdf113KbAdobe PDF2759View/Open
    51015102.pdf143KbAdobe PDF2786View/Open
    51015103.pdf167KbAdobe PDF2852View/Open
    51015104.pdf127KbAdobe PDF2903View/Open
    51015105.pdf242KbAdobe PDF2879View/Open
    51015106.pdf207KbAdobe PDF2918View/Open
    51015107.pdf206KbAdobe PDF21074View/Open
    51015108.pdf125KbAdobe PDF21064View/Open
    51015109.pdf157KbAdobe PDF21285View/Open
    51015110.pdf207KbAdobe PDF2993View/Open


    All items in 政大典藏 are protected by copyright, with all rights reserved.


    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.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback