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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Veröffentlicht in:Applied mathematics and computation Jg. 215; H. 6; S. 2388 - 2389
1. Verfasser: Zhang, Guoqing
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Amsterdam Elsevier Inc 15.11.2009
Elsevier
Schlagworte:
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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Zusammenfassung: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