本研究分別構建出含先進先出限制之動態用路人均衡模型，與含先進先出及流出率容量限制之動態用路人均衡模型，並利用修正過之流線對角法與拉氏法，以測試例測試其正確性。 本研究對黃士沛(2000)提出之流線對角法進行修正，構建出綜合流線觀念與巢化對角法之新流線對角法，同時驗證其求解效率較傳統巢化對角法為佳。並對拉氏法在動態用路人均衡模型上之應用提出較合理之解釋，繼之證明含額外限制之動態用路人均衡模型與一般化成本之動態用路人均衡亦具有對等性。 This thesis build Dynamic User-Optimal Equilibrium Model with First-In-First-Out Requirement and Dynamic exit-capacitated User-Optimal Equilibrium Model whit First-In-First-Out Requirement individually. Lastly verify the correction of two models with simple numerical examples by employing corrected Streamlined Diagonalization Method and Lagrangian method . This thesis corrects Streamlined Diagonalization Method (Huang, 2000), and supplies new algorithm combined the concepts of Streamlined and Nested Diagonalization method with better efficiency than traditional Nested Diagonalization method. Then bring up reasonable explain about Lagrangian method in Dynamic User-Optimal Equilibrium Model, and prove there is equivalence between user-optimal conditions with generalization cost and Dynamic User-Optimal Equilibrium Model.
