フレーター法の解の個数と発展的適用法

概要

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Fratar's method provides one method for estimating the future traffic OD volume based on the present OD pattern. The method is widely known as a method to estimate a square matrix, but is applicable to estimate general (m, n) matrix beside OD estimation. This paper describes following subjects. (i) Study of solution number in estimating OD under only one set of control total, which consists of two vectors as sums of rows and columns. (ii) Expansion of Fratar's logic to estimate a matrix under constraints satisfying two or more sets of control total. (iii) Presentation of a solution of example problem using advanced Fratar's logic: Estimation of future inward vessels into ports in Osaka bay classifying by grosstonnages, under constraints of two control totals, that are number and tonnage of total vessels in a year. (iv) Consideration of the applicability of advanced Fratar's logic to other problems: Estimation of future modal split of total traffic in some areas such as airplanes, trains, cars, etc.
社団法人日本航海学会の論文
1989-03-20