The main purpose of the study is to develop a method based on the modified ant algorithm and demonstrate the applicability of its use for building of optimal cargo delivery routes, taking into account the real (non-stationary) dynamics of highdensity traffic on the urban road network in megacities. Within the framework of the proposed method the simulation of building optimal routes, by the example of Kiev, was carried out. The results of study indicate the possibility of using the method for the solution to the problems of efficient management of the freight transportation routing process in the conditions of real dynamics of traffic flows (dense traffic, traffic jam, emergency situations, etc.).
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