A note on “A Continuous Approach to Nonlinear Integer Programming”

Ge and Huang (1989) proposed an approach to transform nonlinear integer programming problems into nonlinear global optimization problems, which are then solved by the filled function transformation method. The approach has recently attracted much attention. This note indicates that the formulae to d...

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Vydané v:	Applied mathematics and computation Ročník 215; číslo 6; s. 2388 - 2389
Hlavný autor:	Zhang, Guoqing
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier Inc 15.11.2009 Elsevier
Predmet:	Calculus of variations and optimal control Exact sciences and technology Filled function method Global optimization Mathematical analysis Mathematics Nonlinear integer programming Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Penalty function Sciences and techniques of general use Nonlinear integer programming Penalty function Global optimization Filled function method Optimization method Nonlinear problems Non linear programming Penalty method Integer programming Numerical analysis Applied mathematics Variational calculus Mathematical programming
ISSN:	0096-3003, 1873-5649
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Shrnutí:	Ge and Huang (1989) proposed an approach to transform nonlinear integer programming problems into nonlinear global optimization problems, which are then solved by the filled function transformation method. The approach has recently attracted much attention. This note indicates that the formulae to determine a penalty parameter in two fundamental theorems are incorrect, and presents the corrected formulae and revised theorems.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2009.08.015