Abstract
Mathematical formulation of the problem of forming urban freight transportation is performed. The structure of the system information model is developed, which takes into account material, energy and information flows. Mathematical expressions for calculating the criterion for choosing rational routes ‒ route quality factor are presented. The criterion takes into account the capabilities of the logistics center (information content), cargo weight, congestion (traffic jams), transportation distance and actual delivery time. A distinguishing feature is that it is determined online and takes into account the congestion dynamics of routes during a work shift.The dynamic model of delays in decision making in the logistics chains of urban freight transportation is developed. The model allows calculating the processing time of transportation requests and transportation time itself. It is shown that the total time of freight delivery consists of the travelling time of the vehicle, taking into account route resistance and delay time in all logistic chains of the system.The mathematical model is developed for assessing the reliability of urban freight transportation, taking into account street congestion. The model operates online and allows determining the parameters of the transport process, including traffic jams on city streets.The reliability criterion of the logistics system of urban freight transportation ‒ reliability coefficient is proposed. The criterion takes into account the travelling time of the vehicle and the delay time of receipt of transportation requests at the logistics center, and the time of delays at the transport company. It is shown that in the absence of delays in logistics chains, the reliability coefficient is equal to unity, and if there is a delay, the reliability coefficient is less than unity. The physical significance of the reliability criterion is determined. It is the share of non-fulfillment of transportation requests on time.
Highlights
The problem of forming the routes of the urban network of freight transportation refers to the problems of stochastic programming, because input data for solving an optimization problem are random functions of time
The methods of such a search are the development of a mathematical model that interacts with modern Internet resources and allows choosing an optimum route, taking into account congestion of highways and streets at different times of the working day
The following objectives were set: – to substantiate the methodical approach to the study of reliability of urban freight transportation taking into account street congestion; – to substantiate the process parameters of urban freight transportation, considering traffic jams on city streets; – to carry out mathematical modeling of reliability of transport services for urban freight transportation
Summary
The problem of forming the routes of the urban network of freight transportation refers to the problems of stochastic programming, because input data for solving an optimization problem (flow of requests, range of transportation, volume of transportation, etc.) are random functions of time. Decision-making on the formation of urban routes of cargo delivery is carried out by an employee of the logistics center of the transport company in the process of online operational management of requests In this case, the efficiency of route selection is determined, on the one hand, by a set of principles and methods used to solve a transport problem or its varieties, on the other hand, using modern Internet resources available online. Proceeding from the above, the main argument of such research is finding solutions to improve the efficiency of urban freight transportation The methods of such a search are the development of a mathematical model that interacts with modern Internet resources and allows choosing an optimum route, taking into account congestion of highways and streets at different times of the working day. The practical significance of such a study is to reduce the time and cost of transport services within the city
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