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題名:應用敏感性分析資訊解均衡路網設計問題
書刊名:管理與系統
作者:王新發張保隆卓訓榮 引用關係
出版日期:1995
卷期:2:1
頁次:頁51-63
主題關鍵詞:均衡路網設計模式敏感性分析Equilibrium network design problemSensitivity analysis
原始連結:連回原系統網址new window
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  • 被引用次數被引用次數:期刊(1) 博士論文(0) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:1
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  • 點閱點閱:19
     本文提出之線性近似法克服了Miller[1991]無法找到敏感性分析資訊及 未對不同Nash均衡點重新計算敏感性分析資訊的問題,成功地構建跟隨者對於領 導者之決策行為的線性近似反應函數。文中並且以複雜之Stackelberg競局一路網 設計模式為例,與MINOS、H-J、IOA、EDO、GSDA等方法比較,實際測試線性 近似法之效能及效率。在七個測試案例中,線性近似法在效能上與先前最具效能 之方法相當,在效率上則明顯優於先前最具效率之方法。且線性近似法何用在大 型實際路網上,將來可朝實証研究繼續發展
     This paper propose a Linear Approximation Algorithm which uses sensitivity analysis information to obtain the derivatives of the reaction function and prevents the shortages of Miller's algorithm [1991]. In the article, we apply our method to two examples. The results are put into comparison with results of MINOS, H-J, IOA, EDO and GSDA. In effectiveness, our method is as well as the most effective algorithm in the other algorithms. In efficiency, LAA is superior to others. In future, we can extent our method to real network and develop quadraticreaction function.
期刊論文
1.Smith, M. J.(1979)。The Existence, Uniqueness and Stability of Traffic Equilibria。Transportation Research Part B: Methodological,13(4),295-304。  new window
2.Tobin, R. L.、Friesz, T. L.(1988)。Sensitivity Analysis for Equilibrium Network Flow。Transportation Science,22(4),242-250。  new window
3.Tobin, R. L.(1986)。Sensitivity Analysis for Variational Inequalities。Journal of Optimization Theory and Applications,48(1),191-204。  new window
4.Abdulaal, Mustafa、LeBlanc, Larry J.(1979)。Continuous Equilibrium Network Design Models。Transportation Research, Part B,13(1),19-32。  new window
5.Dafermos, S. C.(1971)。An Extended Traffic Assignment Model with Applications to Two-way Traffic。Transportation Science,5(4),367-389。  new window
6.Fisk, C. S.(1984)。Game Theory and Transportation System Modelling。Transportation Research,18(4/5),301-313。  new window
7.Friesz, T. L.、Harker, P. T.(1985)。Properties of the iterative optimization-equilibrium algorithm。Civil Engineering System,2,142-154。  new window
8.Friesz, T. L.、Tobin, R. L.、Cho, H. J.、Mehta, M.(1990)。Sensitivity Analysis Based Heuristic Algorithm for Mathematical Programs with Variational Inequality Constraints。Mathematical Programming,48,265-284。  new window
9.Miller, T. C.、Tobin, R. L.、Friesz, T. L.(1991)。Stackelberg Games on a Network with Cournot-Nash Oligopolistic Competitors。Journal of Regional Science,31(4),435-454。  new window
10.Suwansirikul, C.、Friesz, T. L.、Tobin, R. L.(1987)。Equilibrium Decomposed Optimization: A Heuristic for the Continuous Equilibrium Network Design Problem。Transportation Science,21(4),254-263。  new window
會議論文
1.Harker, P. T.、Friesz, T. L.(1984)。Bounding the Solution of the Continuous Equilibrium Network Design Problem。The 9th International Symposium on Transportation and Traffic Theory。Utrecht, The Netherlands:VNU Science Press。233-252。  new window
2.Wardrop, J. G.(1952)。Some Theoretical Aspects of Road Traffic Research。The Institute of Civil Engineers,325-378。  new window
研究報告
1.卓訓榮、王新發(1990)。以廣義反矩陣方法分析均衡路網流量的敏感性--以Sioux Falls城為例。交通大學運輸工程與管理學系。  延伸查詢new window
學位論文
1.Lee, J. H.(1993)。Solving Bilevel Network Design Problem Using Sensitivity Information without Non Degeneracy Assumption(碩士論文)。National Chiao Tung University。  new window
圖書
1.卓訓榮(1993)。變分不等式路網均衡指派模式對角化求解方法改良之研究。交通大學運輸工程與管理學系。  延伸查詢new window
2.Beckmann, M. J.、Mcguire, C. B.、Winston, C. B.(1956)。Studiesin the Economics of Transportation。New Haven, Connecticut:Yale University Press。  new window
3.Steenbrink, P. A.(1974)。Optimization of Transport Network。New York:John Wiley。  new window
 
 
 
 
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