Incomplete Information Analysis for the Origin-Destination Survey Table

Abstract

Sampling is one approach used to survey the origin-destination (O-D) trip matrix. However, when the sampling rate is not sufficiently large compared to the population, the sampling data may have missing values in O-D pairs and that makes the O-D matrix incomplete. Two imputation methods to solve the problem mentioned previously are presented in this study. The Deming-Stephan (D-S) proportional fitting procedure is a statistical method first proposed to impute the missing value in this study. The improved D-S method, its convergence is proved by Cauchy criteria in this study, applies the iteration conception in the D-S method to solve the incomplete data problem. One numerical example displayed in this study shows that the improved D-S method produces an estimated O-D table with similar pattern as that of the population table.