Геопросторова організація логістичної системи в оптимізаційній транспортній задачі

Abstract

The recent publications of application of optimization and transport problem for planning the flows in logistic systems are analysed. A mathematical model of logistics system for optimizing transport problem in the region, which has a territorial division into separate elements, is build. The tools for formalized mathematical and geographical description and geospatial study of closed transportation problem are developed, knowledge of which includes four blocks. First block is the information about geolocalization of subjects (the location of territorial elements, placing of suppliers, placing of consumers, distance from suppliers to consumers, Boolean matrix of belonging suppliers to the territorial elements, Boolean matrix of belonging consumers to the territorial elements). The second block is implicative knowledge about georelativity for logistics flows between suppliers and consumers. The third block is implicative knowledge about geointegrity of subjects (suppliers and consumers) with logistics flows. The fourth block is the information about geofunctioning of subjects (annual suppliers sending, annual consumers receiving, annual transportation on traffic flows). The system and algorithms for computing of centers for centrography analysis of the functioning subjects of the transport problem and meaningful interpretation of these centers is made. A system of ordinary differential equations describing the dynamics of the operation of the optimization of the transportation problem during the year is build and its relation to classical transport problem is shown. Entropic characteristics of operation of the transportation problem optimization are described and studied and invariance of the total entropy on the subjects of the problem is shown. The directions for further research on this theme are proposed. Key words: geospatial organization, transport problem, optimization, centrography, dynamics, entropy.