Mathematical modelling for the problem of distributing seats in an elected assembly

Mathematical modelling for the problem of distributing seats in an elected assembly

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Article ID: iaor20031513
Country: China
Volume: 28
Issue: 6
Start Page Number: 5
End Page Number: 9
Publication Date: Dec 2001
Journal: Journal of Hunan University
Authors: ,
Keywords: programming: integer
Abstract:

Three mathematical models for the problem of distributing seats are presented, all of which are solved by a grid search algorithm, and use the concept of least-squares in order to describe the fairness associated with the distribution. The modelling procedure is concise, and the algorithms used to solve these models are effective. A large number of numerical experiments provides many useful conclusions for the practical applications of these models.

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