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One class of separable optimization problems: solution method, application

Assem Tharwat, Karel Zimmermann

Open publisher page 20 citations

Abstract

A solution method for solving optimization problems with a max-separable objective function and min-separable inequality constraints is suggested. The method is based on the results of 5 Zimmermann, K. 2003. Disjunctive optimization, max-separable problems and extremal algebras. Theor. Comput. Sci, 293: 45–54. [Crossref], [Web of Science ®] , [Google Scholar], 6 Zimmermann, K. 2004. One class of optimization problems with alternative constraints and its application. Proceedings Symposium on Operations Research, September: 3–9. Split [Google Scholar]. Application in some location problems and small illustrative numerical examples are presented.

About this research paper

What this paper is about

A solution method for solving optimization problems with a max-separable objective function and min-separable inequality constraints is suggested. The method is based on the results of 5 Zimmermann, K. 2003. Disjunctive optimization, max-separable problems and extremal algebras. Theor. Comput. Sci, 293: 45–54. [Crossref], [Web of Science ®] , [Google Scholar], 6 Zimmermann, K. 2004. One class of optimization problems with alternative constraints and its application. Proceedings Symposium on Operations Research, September: 3–9. Split [Google Scholar]. Application in some location problems and small illustrative numerical examples are presented.

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OpenAlex reports 20 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A solution method for solving optimization problems with a max-separable objective function and min-separable inequality constraints is suggested. The method is based on the results of 5 Zimmermann, K. 2003. Disjunctive optimization, max-separable problems and extremal algebras. Theor. Comput. Sci, 293: 45–54. [Crossref], [Web of Science ®] , [Google Scholar], 6 Zimmermann, K. 2004. One class of optimization problems with alternative constraints and its application. Proceedings Symposium on Operations Research, September: 3–9. Split [Google Scholar]. Application in some location problems and small illustrative numerical examples are presented.

Key concepts: Separable space, Class (philosophy), Mathematics, Mathematical optimization, Optimization problem, Function (biology), Applied mathematics, Computer science

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