本研究考量用路人在同一起迄對間的旅運過程中，必須經過多個活動點而形成的旅次鏈旅運行為，建立出符合旅次鏈用路人旅運行為特性的使用者均衡原則，並建立以旅次鏈為基礎之路網均衡模型。在模型求解上，本研究以梯度投影法為基礎，設計出求解演算法，並以小型路網及UTown測試路網為數值範例，驗證及說明本研究所發展模型的特性，以及求解演算法之正確性。此外，本研究所發展旅次鏈為基礎之路網均衡模型，較傳統以旅次端點為基礎的路網均衡模型更為一般化。

In this study, we consider the influence of multiple secondary activities based on a pair of trip-end origin-destination to develop a trip-chain based user equilibrium principle and network equilibrium model. A modified gradient projection method is developed to solve the proposed trip-chain based network equilibrium model, and we use not only a small test network but also the UTown network to validate the accuracy of the model. The proposed model is more general than conventional trip-end traffic assignment models.