MODEL AND METHOD OF TASKING SUPPORT AND OPTIMAL PLAN OF THE MODIFIED TRANSPORT PROBLEM IN ACTIVE GROUPS OF GOODS

Abstract

Transportation is one of the most important branches of the economy. The efficiency of cargo transportation is described by the transport task. It solves problems of optimization of mathematical programming and is devoted to minimization of expenses for transportation of cargoes from cargo suppliers to consumers. However, in the case of freight transportation, there are cases where suppliers themselves receive goods from top-level suppliers (for example, factories producing transported goods or wholesale warehouses from which goods are transported to small warehouses, etc.), with those high-level suppliers limited by their own inventory (e.g. , if they are factories, they are limited in production capacity). Therefore, an important task is to create methods and algorithms for finding optimal transportation plans for this type of transportation. In this work, we propose a model of a special type of transport task that limits the export of goods from supplier groups that retrieve goods from suppliers in a higher order, which have their limitations. This additional restriction is indeed encountered in the practice of freight transportation, since suppliers usually receive cargo from factories, natural resource extraction sites, wholesale warehouses and more. Therefore, modified methods for finding the basic and optimal plans of freight transportation were developed for this model in order to minimize the cost of transportation within the given restrictions. Applying optimization methods, finding the best solution, developing the optimal transportation plan from a certain number of suppliers to a certain number of consumers. This streamlines and optimizes transportation, which in turn will increase the revenue and efficiency of the enterprise as a whole and the transport department separately.