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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Bibliographic Details
Published in:Applied mathematics and computation Vol. 215; no. 6; pp. 2388 - 2389
Main Author: Zhang, Guoqing
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Inc 15.11.2009
Elsevier
Subjects:
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
Online Access:Get full text
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Summary: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