均衡路網流量敏感性分析路網資訊獨立性之研究

The Independency of the Network Information in the Sensitivity Analysis of the Equilibrium Network Flow

本研究以變分不等式問題(VariationalInequalityProblem；VIP)描述路網均衡模式，證明以最短距離法進行的路網敏感性分析，在選取不同路網資訊(即不同路段/路徑投引矩陣或不同路徑流量)，可以得到相同的路網敏感性分析結果，即路網的敏感性分析是獨立於路網資訊。最後，本研究提一數值例說明其運算過程。

In this research, the network equilibrium problem is described by thevariational inequality problem (VIP ). The independency ofthe path flow and theindependency of the arc/path incidence matrix in the sensitivity analysis of theequilibrium network flow are proved by using the minimum distance method. Theindependency of the path flow and the arc/path incidence matrix means that thenetwork sensitivity analysis can get the same result in choosing different pathflow or different arc/path incidence matrix. The numerical example is presentedin this paper.