本研究以變分不等式問題(Variational Inequality Problem;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 the variational inequality problem (VIP ). The independency ofthe path flow and the independency of the arc/path incidence matrix in the sensitivity analysis of the equilibrium network flow are proved by using the minimum distance method. The independency of the path flow and the arc/path incidence matrix means that the network sensitivity analysis can get the same result in choosing different path flow or different arc/path incidence matrix. The numerical example is presented in this paper.