METHOD OF MAXIMUM–AVERAGE REDISTRIBUTION OF A HOMOGENEOUS RESOURCE
Authors: KHOMIAK Andrii , ROZEN Viktor , STAROZHILOVA Halyna 
Published: May 2021

The article considers the method of decision-making based on the distribution of homogeneous resources between objects with different quantitative indicators of impact, in case of shortage of resources involved. The method can be used in decision-making systems in the case of distribution of such homogeneous resources as: funds, electricity and heat, water, etc.

Purpose. Improving the adequacy of the results of the allocation of scarce resources by developing a method of resource allocation in intelligent decision-making systems in the event of a shortage or excess of a homogeneous resource.

Methodology. Let the studied complex system contain a finite set of subsystems that have a common homogeneous resource: the means used to implement energy saving measures. In the conditions of deficit of a homogeneous resource there is a necessity of distribution according to the established criterion. Therefore, there is a need to develop new methods of decision-making that would significantly enhance the ability to solve such problems.

Let the system under study create  from a finite set of objects. Each object characterizes: -requested resource, -effect from the implementation of energy saving measures . In the conditions of deficit of a homogeneous resource which falls under distribution, necessity of definition of a resource for each of objects is defined. As a result of application of a method of the maximum-average redistribution of a homogeneous resource for the decision of problems we receive the following parameters: - quantity of losses which managed to be reduced, y - the real losses received underfunding, x - the received quantity of resources in it.

Findings. The method of maximum-average redistribution of a homogeneous resource is developed, the example of application of a method is considered. The method allows you to allocate all available homogeneous resources, to gain an advantage in the effect of implementation over other existing methods, under certain conditions and initial data. Due to the new algorithm of homogeneous resource allocation and simplicity of calculations, this method can be widely used in the allocation of scarce resources. The method has comparable results to the method of proportional division in cases where objects with large requested resources have significant impact indicators, and conversely, the indicators deteriorate when objects with small requested resources have a significant impact on the system.

Originality. A new method of calculating the redistribution of a homogeneous resource according to the established criterion is proposed. For the first time the problem was solved using the method of maximum-average redistribution of a homogeneous resource.

Practical implications. The method of maximum-average redistribution of a homogeneous resource can be widely used in the allocation of funds for the implementation of energy saving measures, as well as in all industries, economics and other areas where there is a need for intelligent decision-making systems. The application of the method allows to solve problems with the allocation of resources in case of their shortage or excess. In case of excess resources, the algorithm for applying the method remains the same.

Keywords: Intelligent systems, decision-making, resource allocation, losses, maximum-average redistribution of resources.