A MATHEMATICAL MODEL FOR UNIFORM DISTRIBUTION OF VOTERS PER CONSTITUENCIES
This paper presents two different approaches on the basis how to generate constituencies. The first one is based on cluster analysis by means of which approach can get compact constituencies having an approximately equal number of voters. An optimal number of constituencies can be obtained by using...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Croatian Operational Research Society
2013-02-01
|
Series: | Croatian Operational Research Review |
Subjects: | |
Online Access: | http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=143330 |
id |
doaj-16f6c4c1a22245219ce988af1b469e2e |
---|---|
record_format |
Article |
spelling |
doaj-16f6c4c1a22245219ce988af1b469e2e2020-11-24T23:33:05ZengCroatian Operational Research SocietyCroatian Operational Research Review1848-02251848-99312013-02-01415364A MATHEMATICAL MODEL FOR UNIFORM DISTRIBUTION OF VOTERS PER CONSTITUENCIESTomislav Marošević0Kristian Sabo1Petar Taler2Department of Mathematics, J. J. Strossmayer University, Osijek, CroatiaDepartment of Mathematics, J. J. Strossmayer University, Osijek, CroatiaDepartment of Mathematics, J. J. Strossmayer University, Osijek, CroatiaThis paper presents two different approaches on the basis how to generate constituencies. The first one is based on cluster analysis by means of which approach can get compact constituencies having an approximately equal number of voters. An optimal number of constituencies can be obtained by using this method. The second approach is based on partitioning the country into several areas with respect to territorial integrity of bigger administrative units. The units obtained in this way will represent constituencies which do not necessarily have to have an approximately equal number of voters. Each constituency is associated with a number of representatives that is proportional to its number of voters, so the problem is reduced to the integer approximation problem. Finally, these two approaches are combined and applied on the Republic of Croatia.http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=143330Data ClusteringClusteringApportionment MethodConstituencies |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Tomislav Marošević Kristian Sabo Petar Taler |
spellingShingle |
Tomislav Marošević Kristian Sabo Petar Taler A MATHEMATICAL MODEL FOR UNIFORM DISTRIBUTION OF VOTERS PER CONSTITUENCIES Croatian Operational Research Review Data Clustering Clustering Apportionment Method Constituencies |
author_facet |
Tomislav Marošević Kristian Sabo Petar Taler |
author_sort |
Tomislav Marošević |
title |
A MATHEMATICAL MODEL FOR UNIFORM DISTRIBUTION OF VOTERS PER CONSTITUENCIES |
title_short |
A MATHEMATICAL MODEL FOR UNIFORM DISTRIBUTION OF VOTERS PER CONSTITUENCIES |
title_full |
A MATHEMATICAL MODEL FOR UNIFORM DISTRIBUTION OF VOTERS PER CONSTITUENCIES |
title_fullStr |
A MATHEMATICAL MODEL FOR UNIFORM DISTRIBUTION OF VOTERS PER CONSTITUENCIES |
title_full_unstemmed |
A MATHEMATICAL MODEL FOR UNIFORM DISTRIBUTION OF VOTERS PER CONSTITUENCIES |
title_sort |
mathematical model for uniform distribution of voters per constituencies |
publisher |
Croatian Operational Research Society |
series |
Croatian Operational Research Review |
issn |
1848-0225 1848-9931 |
publishDate |
2013-02-01 |
description |
This paper presents two different approaches on the basis how to generate constituencies. The first one is based on cluster analysis by means of which approach can get compact constituencies having an approximately equal number of voters. An optimal number of constituencies can be obtained by using this method. The second approach is based on partitioning the country into several areas with respect to territorial integrity of bigger administrative units. The units obtained in this way will represent constituencies which do not necessarily have to have an approximately equal number of voters. Each constituency is associated with a number of representatives that is proportional to its number of voters, so the problem is reduced to the integer approximation problem. Finally, these two approaches are combined and applied on the Republic of Croatia. |
topic |
Data Clustering Clustering Apportionment Method Constituencies |
url |
http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=143330 |
work_keys_str_mv |
AT tomislavmarosevic amathematicalmodelforuniformdistributionofvotersperconstituencies AT kristiansabo amathematicalmodelforuniformdistributionofvotersperconstituencies AT petartaler amathematicalmodelforuniformdistributionofvotersperconstituencies AT tomislavmarosevic mathematicalmodelforuniformdistributionofvotersperconstituencies AT kristiansabo mathematicalmodelforuniformdistributionofvotersperconstituencies AT petartaler mathematicalmodelforuniformdistributionofvotersperconstituencies |
_version_ |
1725532094286790656 |