Please use this identifier to cite or link to this item: https://ah.nccu.edu.tw/handle/140.119/32606

Title: 數位網路上多重目標規劃的數學模式
Mathematical Models of Pareto Optimal Path Selection on All-IP Networks
Authors: 王嘉宏
Wang, Chia-Hung
Contributors: 陸行
Hsing Luh
Wang, Chia-Hung
Keywords: 多重目標規劃問題
multiple-objective problems
achievement function
proportional fairness
Pareto optimal
fair bandwidth allocation
ordered weighted averaging method
Date: 2003
Issue Date: 2009-09-17 13:50:12 (UTC+8)
Abstract: 面對通訊與資訊科技的大幅進步,通訊網路正在進行一個巨大的變革,要將電信網路與數據網路整合成一個單一的All-IP網路以支援所有網路應用服務。欲達到整合型網路的理想,仍有許多困難尚待克服,而服務品質問題是其中最關鍵的問題之一。因為受限於封包交換網路之原有的特性,All-IP網路有影響服務品質的三項因素:過長的延遲時間、抖動以及封包遺失。首先,我們利用了達成度函數(achievement function)來處理單位的轉換,使得能夠同時考量此三項不同單位的因素。接著,本文中提出一套方法來解決All-IP網路上端對端(end-to-end)的資源配置及路徑規劃問題。在分配資源時,我們企圖提供一種成比例的公平性給各個不同等級。此公平性的精神是要使得所有網路使用者的滿足程度相當,而非各個不同等級的使用者分配到相同的資源。我們將以預算方式控制端對端品質管理以追求使用者之整體最大滿意程度。
We present an approach for the fair resource allocation problem
and QoS routing in All-IP networks that offer multiple services to users. The objective of the optimization problem is to determine the amount of required bandwidth for each link and each class to maximize the sum of the users' utility. In this work, we focus on approaches that, while allocating bandwidth, attempt to provide a proportionally fair treatment of all the competing classes. First, we will show that an achievement function can map different criteria subject to various utility onto a normalized scale. It may be interpreted as a measure of QoS (Quality of Service) on All-IP networks. Using the bandwidth allocation model, we can find a Pareto optimal allocation of bandwidth on the network under a limited available budget. This allocation can provide the so-called proportional fairness to every class, that is, this allocation can provide the similar satisfaction to each user. Next, we present a routing scheme under consideration of the delay. Such an optimal path provides the end-to-end QoS guarantees to each user. Finally, a numerical example is given to illustrate how to solve the fair resource allocation problem and how to modify the nonlinear parts.
Reference: ``Enabling UMTS/Third Generation Services and Applications", UMTS Forun Report No.11, Oct., 2000.
A. W. Berger, and Y. Kogan, ``Dimensioning Bandwidth for Elastic Traffic in High-Speed Data Networks", IEEE/ACM Transactions on Networking, Vol. 8, No. 5, Oct. 2000.
R. Boutaba, W. Szeto, and Y. Iraqi, ``DORA: Efficient Routing for MPLS Traffic Engineering", Journal of Network and Systems Management, Vol. 10, No. 3, September 2002.
C. T. Chen, ``Budget-Based End-to-End QoS Management for All-IP Networks", Master thesis, Department of Computer Science, National Chengchi University, 2003.
M. C. Chen, ``Distributed Resource Management and Admission Control in Budget-Based QoS Management for All-IP Core Networks", Master thesis, Department of Computer Science, National Chengchi University, 2003.
A. L. Erera, C. F. Daganzo, and D. J. Lovell, ``The Access-Control Problem on Capacitated FIFO Networks with Unique O-D Paths is Hard", Operations Research, Vol. 50, No. 4, pp. 736-743, July-August 2002.
B. Fortz, J. Rexford, and M. Thorup, ``Traffic Engineering with Traditional IP Routing Protocols", IEEE Communications Magazine, October 2002.
R. J. Gibbens, S. K. Sargood, C. V. Eijl, F. P. Kelly, H. Azmoodeh, R. N. Macfadyen, N. W. Macfadyen, ``Fixed-Point Models for the End-to-End Performance Analysis of IP Networks", 13th ITC Specialist Seminar: IP Traffic Measurement, Modeling and Management, Monterey, California, Sep. 2000.
K. Gopalan and T. Chiueh, ``Delay Budget Allocation for Delay-Guaranteed Network Paths", Technical Report TR-113, Experimental Computer Systems Labs, Dept. of Computer Science, State University of New York, Stony Brook, NY, June 2002.
J. Gozdecki, A. Jajszczyk, and R. Stankiewicz, ``Quality of Service Terminology in IP Networks", IEEE Communications Magazine, no. 3, pp. 153-159, Mar. 2003.
D. Granot, J. Kuipers, and S. Chopra, ``Cost allocation for a tree network with heterogeneous cutomers", Mathematics of Operations Research, Vol. 27, Iss. 4, pp. 647-661, Nov. 2002.
R. A. Guerin and A. Orda, ``QoS Routing in Networks with Inaccurate Information: Theory and Algorithms", IEEE/ACM TRANSACTIONS ON NETWORKING, Vol. 7, No. 3, June 1999.
P. V. Hentenryck, ILOG OPL Studio 3.5: The Optimization Language, Massachusetts Institute of Technology, April 2001.
R. Johari and D. K. H. Tan, ``End-to-End Congestion Control for the Internet: Delays and Stability", IEEE/ACM TRANSACTIONS ON NETWORKING, VOL. 9, NO. 6, pp. 818-832, Dec. 2001.
F. P. Kelly, ``Charging and Rate Control for Elastic Traffic", European Transactions on Telecommunications, volume 8, pages 33-37, 1997.
F. P. Kelly, A. K. Maulloo and D. K. H. Tan, ``Rate Control for Communication Networks: Shadow Prices, Proportional Fairness and Stability", Journal of the Operational Research Society, Vol. 49, 237-252, 1998.
F. P. Kelly, ``Mathematical modelling of the Internet", Mathematics Unlimited - 2001 and Beyond, Springer-Verlag, Berlin, pp. 685-702, 2001.
F. P. Kelly, ``Fairness and Stability of End-to-End Congestion Control", European Journal of Control, vol. 9, pp. 159-176, 2003.
T. H. Li, ``Path Planning in Budget-Based QoS Management for All-IP Core Networks", Master thesis, Department of Computer Science, National Chengchi University, 2003.
Y. N. Lien, H. C. Jang, T. C. Tsai, and H. Luh, ``BBQ: A QoS Management Infrastructure for All-IP Networks", Communications of Institute of Information and Computing Machinery: Mobile Communications and Wireless Networks, Vol.7, No. 1, pp. 89-115, Mar. 2004.
A. W. Marshall, I. Olkin, Inequalties: Theory of Majorization and Its Applications, New York: Academic Press, 1979.
A. Muller, D. Stoyan, Comparison Methods for Stochastic Models and Risks, Wiley, Chichester, 2002.
M. Minoux, Mathematical Programming: Theory and Algorithms, Wiley, Chichester, 1986.
G. L. Nemhauser and L. A. Wolsey, Integer and Combinatorial Optimization, New York : Wiley, 1988.
W. Ogryczak, T. Sliwinski and A. Wierzbicki, ``Fair Resource Allocation Schemes and Network Dimensioning Problems", Journal of Telecommunications and Information Technology, pp. 34-42, 3/2003.
A. Orda, ``Routing with End-to-End QoS Guarantees in Broadband Networks", IEEE/ACM Transactions on Networking, Vol. 7, No. 3, June 1999.
M. Pioro, G. Malicsko, and G. Fodor, ``Optimal Link Capacity Dimensioning in Proportionally Fair Networks", NETWORKING 2002, LNCS 2345, pp.277-288, 2002.
R. L. Rardin, Optimization in Operations Research, Prentice-Hall, 1998.
R. E., Steuer, Multiple Criteria Optimization : Theory, Computation, and Application, New York, Wiley, 1986.
A. C. Stockman, Introduction to Economics, 2nd ed., the Dryden Press, 1999.
P. Thomas, D. Teneketzis, J. K. Mackie-Mason, ``A Market-Based Approach to Optimal Resource Allocation in Integrated-Services Connection-Oriented Networks", Operations Research, Vol. 50, No. 4, pp. 603-616, July-August, 2002.
S. T. Waller, A. K. Ziliaskopoulos, ``A Dynamic and Stochastic Approach to Network Design", Journal of the Transportation Research Board, No. 1771, pp. 106-114, 2001.
P. Whittle, Optimization Under Constraints, Wiley, Chichester, 1971.
W. Willinger and V. Paxson, ``Where Mathematics meets the Internet", Notices of the American Mathematical Society, pp. 961-970, Sep. 1998.
W. L. Winston, Operations Research: Applications and Algorithms, 3rd ed., Duxbury, 1994.
X. Xiao and L. M. Ni, ``Internet QoS: A Big Picture", IEEE Network, March/April, 1999.
R. R. Yager, ``On Ordered Weighted Averaging Aggregation Operators in Multicriteria Decision Making", IEEE Transactions on Systems, Man and Cybernetics, vol. 18, No. 1, pp. 183-190, 1988.
R. R. Yager, ``On the analytic representation of the Leximin ordering and its application to flexible constraint propagation", European Journal of Operational Research, vol. 102, pp. 176-192, 1997.
Description: 碩士
Source URI: http://thesis.lib.nccu.edu.tw/record/#G0917510081
Data Type: thesis
Appears in Collections:[Department of Mathematical Sciences] Theses

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