Study of Solving Crossing Origin-Destination Matrix Based on Entropy Maximizing Model

Guo Jiang Fu

doi:10.4028/www.scientific.net/AMM.182-183.970

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 182-183Study of Solving Crossing Origin-Destination...

Study of Solving Crossing Origin-Destination Matrix Based on Entropy Maximizing Model

Abstract:

The maximum-entropy model is one of important methods in estimating traffic origin-destination matrix from observed traffic link flows, and it is a nonlinear integer programming model. To find the best solution, traditionally it was transformed to solve nonlinear equations by the introduction of Lagrange multiplier and Newton’s method is adopted to solve the nonlinear equations. In this paper, a entropy maximizing model to estimate the crossing origin-destination flow matrix from in-out flows is given, a genetic algorithm is proposed to solve the model and the introduction of Lagrange multiplier is avoid. A practical example showed the validity of the genetic algorithm.