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An approximate approach of global optimization for polynomial programming problems

Article Abstract:

A novel approach is developed to approximate the global optimization solutions for polynomial programming problems. The approach entails the expanding the polynomial term as the sum of the bounded continuous variable, the resulting bounded continuous variable with the addition of a discrete variable and the resulting bounded continuous variable with the addition of a small variable; and linearizing the small variable based on error below a specified tolerance.

Author: Chang, Ching-Ter, Li, Han-Lin
Publisher: Elsevier B.V.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 1998
Prepackaged software, Models, Business management software, Information management software, Mathematical optimization, Optimization theory, Approximation theory, Approximation

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Formulating the mixed integer fractional posynomial programming

Article Abstract:

Solution to a mixed integer fractional posynomial programming problem is derived using linear programming. Modified goal programming and logarithmic piecewise function (LPF) are also applied in deriving solution.

Author: Chang, Ching-Ter
Publisher: Elsevier B.V.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 2006
United States, Linear programming, Tests, problems and exercises, Usage, Logarithmic functions

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An efficient linearization approach for mixed-integer problems

Article Abstract:

A new general linearization approach for mixed-integer problems is proposed.

Author: Chang, Ching-Ter
Publisher: Elsevier B.V.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 2000
Research, Linearization (Electronics)

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Subjects list: Integer programming
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