Abstract
The research deals with the problem of dividing a group of migrant workers into subgroups according to the degree of risk of infection with the human immunodeficiency virus. Mathematical model of the problem of clustering as a problem of building up a rule was developed, by which reflection from the set of possible values of characteristics on a set of clusters is carried out and the method of evolutionary clustering of objects was adapted to the selection of groups of migrant workers by constructing a fitness function, which provides assignment of an object to the cluster, the Euclidean distance from the center of which to the object is the smallest. Experimental verification of the developed method for the problem of defining subgroups of persons according to socio–demographic characteristics in the group of migrant workers was performed, the result of which was dividing the group of migrant workers into three groups of clusters in the ascending order by the degree of risk: a group of clusters with high risk, a group of clusters with moderate risk and a group with a relatively low risk. As a result of this division, each group of clusters is homogeneous not only by socio–demographic portraits of its representatives, but also by the degree of prevalence of practice of risky behaviors with regard to human immunodeficiency virus infection. Comparative analysis of the results of the problem solving of clustering of the objects of the set group with high risk by the method of k–means and by the method of evolutionary clustering was carried out by the values of the function, which is the integral sum of the distances from objects to the centres of those clusters where they belong. Therefore, according to the performed calculations, the advantages of the evolutionary method in particular have been proven.
Highlights
Under conditions of concentrated stage of HIV-infection/AIDS epidemic that is taking place in Ukraine [1], when the epidemic spreads mainly among specific groups of population, vulnerable to the HIV infection [2], the main measures against epidemic are focused exactly on the representatives of these groups
Given the fact that the commonly-recognized groups with high risk (GHR) of HIV infection are very diverse in their structure [3], and considering the limited resource base, it is argued that there is a need to develop targeted preventive intervention and influences on their separate subgroups, maximally homogeneous by socio-demographic characteristics, based on a client-centered approach
Since it is based on the implementation of measures that are attractive and comfortable for representatives of the target groups [4], an important condition for its implementation is the study of the main socio-demographic characteristics of such subgroups of GHR and determination of the level of dissemination of risky behavior in each subgroup in terms of HIV infection
Summary
Under conditions of concentrated stage of HIV-infection/AIDS epidemic that is taking place in Ukraine [1], when the epidemic spreads mainly among specific groups of population, vulnerable to the HIV infection [2], the main measures against epidemic are focused exactly on the representatives of these groups. Given the fact that the commonly-recognized groups with high risk (GHR) of HIV infection are very diverse in their structure [3], and considering the limited resource base, it is argued that there is a need to develop targeted preventive intervention and influences on their separate subgroups, maximally homogeneous by socio-demographic characteristics, based on a client-centered approach Since it is based on the implementation of measures that are attractive and comfortable for representatives of the target groups [4], an important condition for its implementation is the study of the main socio-demographic characteristics of such subgroups of GHR and determination of the level of dissemination of risky behavior in each subgroup in terms of HIV infection. The task of dividing the GHR in subgroups according to socio-demographic portrait of their representatives can be represented mathematically as the problem of clustering [6]
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