Abstract
There is a tendency of intensive development of a new scientific area aimed at optimizing the processes of comprehensive ensuring the life of society and industrial processes of countries, specifically logistics, and its more important aspect, military logistics. This paper considers typical contradictions between the need and opportunities for additional development of the theory of processes involving this system. On the one hand, the military has important, dynamic, multifaceted processes for the comprehensive provision of their combat operations to analyze, which requires significant intensification of the development of methods and models for quantitative analysis of the effectiveness of the functioning of military logistics systems. On the other hand, there is now limited availability of theoretical developments and the practical application of the necessary, convenient, effective mathematical tools aimed at computerization of solving the problems of providing military scientific and technical problems in real time. Matrix technology for forecasting the dynamics of functioning of closed systems of military logistics of various military purposes is proposed. Matrix calculus makes it possible to obtain intermediate and ultimate results in a compact form and carry out complex and cumbersome calculations using effective algorithms. A method to precisely solve the system of linear differential equations describing processes of arbitrary type has been proposed. The method is based on the use of the operational calculus by Laplace. The possibilities of the method and procedures of forecasting are illustrated by solving practical military tasks that arise during the functioning of military logistics systems of varying complexity. These tasks differ in configuration, different numbers of possible states, and state transitions
Highlights
Improvement of management of logistics processes for the training and combat use of military units and subunits occurs under the conditions of constant growth of the dynamics of this application and the shortage of material resources
The following tasks have been set: – to build a system of differential equations describing within the model the process of functioning of the military logistics system when performing various tasks; – to derive a solution to the system of differential equations in the form of expressions to calculate the probability of the functioning of the logistics system in its main states; – to illustrate the performance of the model, using it to describe the process of functioning of the military logistics system in the performance of specific support tasks, for example, forecasting the survivability of the transport logistics subsystem during the march of the military unit
We have proposed an effective matrix technology for solving applied problems of military logistics
Summary
Improvement of management of logistics processes for the training and combat use of military units and subunits occurs under the conditions of constant growth of the dynamics of this application and the shortage of material resources This causes the need to develop scientific methods of prompt substantiation of management decisions made. The volume of information flows is increasing, the time for the implementation of various types of support is decreasing, the range of supplies is expanding, new vehicles are used for deliveries, for example, unmanned aerial vehicles, and so on Modeling makes it possible to give an analytical description of the processes of functioning of the military logistics system in order to determine and improve its effectiveness. These factors determine the relevance of work in the area of forecasting the dynamics of the functioning of the closed military logistics system
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