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Regular version of the site
Of all publications in the section: 12
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Article
Belenky A. Mathematical and Computer Modelling. 2008. Vol. 48. P. 665-676.

The minimal fractions of the popular vote that could have elected a US President in the Electoral College in two-party elections in 1948–2004 are calculated by solving auxiliary knapsack problems. It is shown that under the rules of US presidential elections determined by Article 2 of the US Constitution, the values of these minimal fractions were within the range 16.072%–22.103%.

Added: Apr 11, 2010
Article
Aleskerov F. T., Роgоrеlskiу К., Kalyagin V. A. Mathematical and Computer Modelling. 2008. Vol. 48. P. 1554-1559.
Added: Nov 12, 2009
Article
Lazarev A. A., Werner F. Mathematical and Computer Modelling. 2009. Vol. 49. No. 9-10. P. 2061-2072.

The scheduling problem of minimizing total tardiness on a single machine is known to be NP-hard in the ordinary sense. In this paper, we consider the special case of the problem when the processing times p_j and the due dates d_j of the jobs are oppositely ordered: p_1 >= p_2>=...>=p_n and d_1.

Added: Nov 24, 2012
Article
Belenky A., King D. Mathematical and Computer Modelling. 2007. Vol. 45. No. 5-6. P. 585-593.

A US Federal election in which candidates from two major political parties compete for the votes of those undecided voters in a state who usually do not vote in US elections is considered. A mathematical model for evaluating the expectation of the margin of votes to be received from such voters by either candidate as a result of the election campaigns of all the competing candidates is proposed. On the basis of this model, finding the estimation under consideration is reducible to finding the minimum of the maximin function of the difference of two bilinear functions with one and the same first vector argument whose second vector arguments belong to a polyhedron of connected variables (strategies of the candidates), and this minimum is sought on another polyhedron.

Added: Oct 21, 2016
Article
Захаров А. В. Mathematical and Computer Modelling. 2008. Т. 48. № 9-10. С. 1527-1553.
Added: Feb 12, 2010
Article
Belenky A. Mathematical and Computer Modelling. 2004. Vol. 39. No. 2-3. P. 119-121.

Formulae for calculating the minimal number of homogeneous objects to constitute a plurality of objects within a finite heterogeneous system are presented. Such a system is searched for among all systems that can be formed by groups of available types of homogeneous objects and consist of one and the same total number of objects grouped into one and the same number of groups of homogeneous objects.

Added: Oct 21, 2016
Article
Goldengorin B. I., Krushinsky D. Mathematical and Computer Modelling. 2011. Vol. 53. No. 9-10. P. 1719-1736.
Added: Jul 30, 2012
Article
Karpov A. V. Mathematical and Computer Modelling. 2008. Vol. 48. No. 9-10. P. 1421-1438.
Added: Sep 7, 2009
Article
Nurmi H., Aleskerov F. T. Mathematical and Computer Modelling. 2008. Vol. 48. P. 1385-1395.
Added: Mar 18, 2009
Article
Belenky A. Mathematical and Computer Modelling. 2008. Vol.  . No. 48. P. 1295-1297.
Added: Apr 10, 2010
Article
Belenky A. Mathematical and Computer Modelling. 2004. Vol. 40. P. 1-3.
Added: Oct 21, 2016