Calculation of Penalties in Algorithm of Mixed Integer Programming Solving with Revised Dual Simplex Method for Bounded Variables

Calculation of Penalties in Algorithm of Mixed Integer Programming Solving with Revised Dual Simplex Method for Bounded Variables

Year:    1999

Author:    Yi-Ming Wei, Qing-Huai Hu

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 545–552

Abstract

The branch-and-bound method with the revised dual simplex for bounded variables is very effective in solving relatively large-size integer linear programming problems. This paper, based on the general forms of the penalties by Beale and Small and the stronger penalties by Tomlin, describes the modifications of these penalties used for the method of bounded variables. The same examples from Petersen are taken and the satisfactory results are shown in comparison with those obtained by Tomlin.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1999-JCM-9124

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 545–552

Published online:    1999-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Penalties Stronger penalties The revised dual simplex method for bounded variables.

Author Details

Yi-Ming Wei

Qing-Huai Hu