A MATHEMATICAL MODEL FOR UNIFORM DISTRIBUTION OF VOTERS PER CONSTITUENCIES

Tomislav Marošević
; Department of Mathematics, J. J. Strossmayer University, Osijek, Croatia
Kristian Sabo
; Department of Mathematics, J. J. Strossmayer University, Osijek, Croatia
Petar Taler
; Department of Mathematics, J. J. Strossmayer University, Osijek, Croatia

APA 6th Edition Marošević, T., Sabo, K. & Taler, P. (2013). A MATHEMATICAL MODEL FOR UNIFORM DISTRIBUTION OF VOTERS PER CONSTITUENCIES. Croatian Operational Research Review, 4 (1), 53-64. Retrieved from https://hrcak.srce.hr/97379
MLA 8th Edition Marošević, Tomislav, et al. "A MATHEMATICAL MODEL FOR UNIFORM DISTRIBUTION OF VOTERS PER CONSTITUENCIES." Croatian Operational Research Review, vol. 4, no. 1, 2013, pp. 53-64. https://hrcak.srce.hr/97379. Accessed 28 Sep. 2020.
Chicago 17th Edition Marošević, Tomislav, Kristian Sabo and Petar Taler. "A MATHEMATICAL MODEL FOR UNIFORM DISTRIBUTION OF VOTERS PER CONSTITUENCIES." Croatian Operational Research Review 4, no. 1 (2013): 53-64. https://hrcak.srce.hr/97379
Harvard Marošević, T., Sabo, K., and Taler, P. (2013). 'A MATHEMATICAL MODEL FOR UNIFORM DISTRIBUTION OF VOTERS PER CONSTITUENCIES', Croatian Operational Research Review, 4(1), pp. 53-64. Available at: https://hrcak.srce.hr/97379 (Accessed 28 September 2020)
Vancouver Marošević T, Sabo K, Taler P. A MATHEMATICAL MODEL FOR UNIFORM DISTRIBUTION OF VOTERS PER CONSTITUENCIES. Croatian Operational Research Review [Internet]. 2013 [cited 2020 September 28];4(1):53-64. Available from: https://hrcak.srce.hr/97379
IEEE T. Marošević, K. Sabo and P. Taler, "A MATHEMATICAL MODEL FOR UNIFORM DISTRIBUTION OF VOTERS PER CONSTITUENCIES", Croatian Operational Research Review, vol.4, no. 1, pp. 53-64, 2013. [Online]. Available: https://hrcak.srce.hr/97379. [Accessed: 28 September 2020]

Abstracts 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.