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A Branch-and-Bound Algorithm for Multiobjective Mixed-integer Convex Optimization


A Branch-and-Bound Algorithm for Multiobjective Mixed-integer Convex Optimization


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von: Stefan Rocktäschel

53,49 €

Verlag: Spektrum Akademischer Verlag bei Elsevier
Format: PDF
Veröffentl.: 21.01.2020
ISBN/EAN: 9783658291495
Sprache: englisch

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Beschreibungen

Stefan Rocktäschel introduces a branch-and-bound algorithm that determines a cover of the efficient set of multiobjective mixed-integer convex optimization problems. He examines particular steps of this algorithm in detail and enhances the basic algorithm with additional modifications that ensure a more precise cover of the efficient set. Finally, he gives numerical results on some test instances.
Theoretical basics for solving multiobjective mixed-integer convex optimization problems.- An algorithm for solving this class of optimization problems.- Test instances and numerical results.
Stefan Rocktäschel works as scientific assistant at the Institute for Mathematics of Technische Universität Ilmenau, Germany.
Stefan Rocktäschel introduces a branch-and-bound algorithm that determines a cover of the efficient set of multiobjective mixed-integer convex optimization problems. He examines particular steps of this algorithm in detail and enhances the basic algorithm with additional modifications that ensure a more precise cover of the efficient set. Finally, he gives numerical results on some test instances.<div><br></div><div><b>Contents</b></div><div><ul><li>Theoretical basics for solving multiobjective mixed-integer convex optimization problems</li><li>An algorithm for solving this class of optimization problems</li><li>Test instances and numerical results</li></ul></div><div><b>Target Groups</b></div><div><ul><li>Students and Lecturers in the field of mathematics and economics&nbsp;</li><li>Practitioners in the field of multiobjective mixed-integer convex optimization problems</li></ul></div><div><b>The Author</b></div><div>Stefan Rocktäschel works as scientific assistant at the Institute forMathematics of Technische Universität Ilmenau, Germany.</div><div><br></div><div><br></div><div><br></div><div><br></div><div><br></div><div><br></div>
First algorithm for solving multiobjective mixed-integer convex optimization problems

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