Abstract

The purpose of the study is to develop an economic-mathematical model of the socio-economic system, which takes into account its logistical structure and ecological viability. This allows for optimal budget planning for the new project. The methodology of the study is based on the method of J. Forster, who proposed to consider the logistics system of any enterprise as a system of reservoirs linked by material, financial and information flows. The main result of the study is as follows. The methodology is designed and developed a mathematical program that allows estimating the relative value of fixed assets of production and the number of costs for creating a retail network with the impact of the environmental components. It is shown that this ratio is determined by the value of all key parameters of the enterprise logistics system. This result was obtained through careful modeling of structural changes in the logistics system of the enterprise. All basic communications (flows) between the elements of the logistics system were also considered. Calculations were conducted for the system of the equations which have been written down in shape with discrete-time. At the same time modeling was carried out so that there were no “not physical” phenomena (such as overflow of warehouses, etc.). As a result of calculations, optimum values for all basic characteristics of the new project have been specified. The most actual has separately been considered for practice as a case of optimum planning of storage facilities. The practical importance of research consists that scientific representations about interrelation of the capacity of the enterprise with key parameters of the logistic system can form a basis for more effective planning and management budgetary and production processes at the enterprise, namely: it is more reasonable to plan scales of production and expenses on logistics creation.

Highlights

  • Despite the extensive literature on designing and management of logistic systems (LS) [1,2,3,4,5,6,7,8,9,10,11] in the scientific literature shortage of models which would describe all links LS within the limits of uniform system of the equations is felt

  • We suggest the linear dependence of the impact of advertising ( ) on the price: ( )= + ∗( 0− )

  • Planned the production capacity is determined by balance cost of the basic production means (BPM) K, which can be presented in the form of the sum such composed K = K( ) + K( ) + K( ), where K( ) is BPM on which a damage control is producing, K( ) is BPM not corresponding modern safety requirements of ability to live and them need to replace; K( ) is effectively used BPM

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Summary

Introduction

Despite the extensive literature on designing and management of logistic systems (LS) [1,2,3,4,5,6,7,8,9,10,11] in the scientific literature shortage of models which would describe all links LS within the limits of uniform system of the equations is felt. Work [3] marks the global and expanded markets should process and manage more and more differentiated products, with shorter life cycles, and consumer delivery periods are reduced by low volumes. The author of work [11] confirms risks of supply and demand it is necessary to consider. Article of authors [12] offers model which, from the moment of representation, meets established to requirements. This model allows taking into consideration detailed features of the market. Rudjanova [13] have offered a method to eliminate this defect This method is based on averaging of rates of sales and transportations of the goods on a certain time distance. The paper [13] is not considered the ecological viability

Presentation of the basic research
The level should be within the limits
The production rate is determined by the following formulas:
Construction of the investments plan
B1 pr k Z
Optimization of logistics system of the enterprise
Co-optimization of a warehouse of finished goods and a retail trade network
Findings
Conclusions
Full Text
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