Abstract

The process of TC formation is considered, using algorithms of swarm intelligence. The main aim of TC formation is reducing the budget and saving the public funds. The approved methodology and the process of formation of capable communities are studied when in the human settlements that form the society is the administrative building, the health care institution, the general education school of the third degree, the kindergarten, the institutions of social protection, housing and communal services, taking into account the financial security and daily migration of residents in the zone of accessibility of the administrative center. The minimum distance from the center of the community to other settlements is taken for the purpose of forming territorial communities. A mathematical model of such problem is developed, using specific limitations that arise from the formulation of the problem itself. To build effective algorithms for formation of territorial communities, the concept of independence of communities, as well as the contiguity of individual councils is introduced. Stochastic algorithms of ant colony and migrating birds have been adapted to solve the established multicriteria optimization problem. The proposed approach is investigated.

Highlights

  • In Ukraine there has been a tendency towards decentralization of power and the unification of several settlements, forming a capable territorial community (TC)

  • Ant Colony Optimization (ACO) algorithm execution begins with the placement of ants at the tops of the graph, the movement of the ants begins – the direction is determined by the probability method, based on the formula:

  • The used methods offer an optimal partition of the region, solving multicriteria optimization problems

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Summary

Introduction

At the beginning of the algorithm all birds-agents are initialized with a random speed vector and position in the graph Further it is determined, among the HSs of some agent is all the criteria, and it is possible to form a community. It is advisable to investigate the total amount of incomes of the established community Q for assessing the possibility of budget development and providing a financial subvention to the community This evaluation of the criterion is important for budgeting the established community and for implementing budget monitoring: Using the values of the coefficients α = 0.5, β = 0.5, C1 = 0.5, C2 = 0.5, the results are obtained (Tables 4, 5).

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