本研究依據Chen and Hsueh (1996)以路段流入率為決策變數所構建之動態用路人均衡路徑選擇模型為基礎，考慮不同問題特性，應用不同決策變數進行動態用路人均衡路徑選擇問題之構建，在此分別就路段流出率與路徑流量兩種不同決策變數進行探討。在以路徑流量為決策變數之動態用路人均衡路徑選擇模型下，本研究除了證明此模型對等於動態用路人均衡條件外，並利用不動點理論(Fixed Point Theorem)進行變分不等式的轉換，以提出此一變分不等式解的存在性證明。 因應不同決策變數模型，本研究提出相對應演算法以進行問題求解，並透過數值例，驗證此模型及演算法的正確性。另外，在以路徑流量為決策變數之動態用路人均衡路徑選擇模型上，分別考慮路段流入率容量限制與路段流出率容量限制的影響，以證實路徑流量模型在動態用路人均衡路徑選擇問題上的適用性。 As follow-up study of Chen and Hsueh (1996) base on link inflow being decision variable to create Dynamic User-Optimal Route Choice Model, this thesis takes into account of figures and applies different decision variables to create dynamic user-optimal route choice problem, discussing by link inflow and route flows. Based on route flows be decision variable, this thesis not only verifies the model be equal to equilibrium conditions but also offers the proof of existence by transferring from Fixed Point Theorem to variational inequality. To match up different decision variables, this thesis supplies several algorithms and proves its correction with numerical examples. Besides, based on dynamic user-optimal route choice model with route flows being decision variables, it considers individually link inflow capacity and exit flow capacity, to verify the suitability of dynamic user-optimal route choice problem with route flows.
