MATHEMATICAL MODEL OF A LOGISTICS PROBLEM WITH A VARIABLE RATE
Abstract
Logistics as a science and as an area of practical knowledge has recently aroused increasing interest, since its activities are multifaceted. Logistics includes the management of transport, warehousing, inventory, human resources, the organization of information systems, commercial activities and much more. At the same time, there is a novelty of the approach in logistics - the organic interconnection, the integration of the above areas into a single management of material flows. Transport logistics refers to the main sections of the logistics of the movement of resources. Transport logistics allows you to solve many different problems of varying complexity and scale on a scientific basis.
The article deals with a mathematical model of a logistics problem with variable transportation tariffs. Numerical solutions of the mathematical model by a symmetric algorithm, based on the averaging of variable tariffs, are given. The ways of transportation cost reduction are considered.
Automation of information flows accompanying cargo flows is one of the most essential technical components of logistics. The use of methods of logistics opens up new reserves for creation of competitive advantage of this or that firm on the basis of maximum satisfaction of clients’ demands.
Purpose. Finding the minimum path by the symmetric algorithm method; investigate the efficiency of the warehouse location.
Methodology in article use methods of solving the transportation problem, elements of graph theory, elements of the theory of fuzzy sets.
Results. A study was conducted on the efficiency of the location of the warehouse, the method of symmetric algorithm was found the minimum path; estimated the cost of the input measures.
Practical implications it is expedient to apply the received results in transportation management, resource flow management (warehouses).
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