Meta‐Optimization Using Cellular Automata with Application to the Combined Trip Distribution and Assignment System Optimal Problem

Wael M. ElDessouki · Yahya Fathi · Nagui M. Rouphail

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Transportation Planning and Optimization Metaheuristic Optimization Algorithms Research Traffic control and management

Abstract

In this paper, meta-optimization and cellular automata have been introduced as a modeling environment for solving large-scale and complex transportation problems. A constrained system optimum combined trip distribution and assignment problem was selected to demonstrate the applicability of the cellular automata approach over classical mixed integer formulation. A mathematical formulation for the selected problem has been developed and a methodology for applying cellular automata has been presented. A numerical example network was used to illustrate the potential for using cellular automata as a modeling environment for solving optimization problems.

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