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

卓訓榮(Hsun-Jung Cho) ； 林培煒(Pei-Wei Lin)

《運輸學刊》 11卷4期 (1999/12) Pp. 73-86

摘要

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。

並列摘要

In this research, the network equilibrium problem is described by the variational inequality problem (VIP). The independency of the 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.