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Adaptive Scalarization Methods in Multiobjective Optimization by Gabriele Eichfelder

Adaptive Scalarization Methods in Multiobjective Optimization

by Gabriele Eichfelder
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Book cover type: Paperback
  • ISBN13: 9783642098048
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 241
  • Original Price: EUR 99.99
  • Language: English
  • Edition: N/A
  • Item Weight: 392 grams
  • BISAC Subject(s): Operations Research, Discrete Mathematics, and Data Science / General

From the Back Cover

This book presents new adaptive solution methods for multiobjective optimization problems based on parameter dependent scalarizations. With the help of sensitivity results an adaptive parameter control is developed so that high-quality approximations of the efficient set are generated. These examinations are based on a general scalarization approach for arbitrary partial orderings defined by a closed pointed convex cone in the objective space. The application of the results to many other well-known scalarization
methods is also presented. Background material of multiobjective optimization and scalarization approaches is concisely summarized at the beginning. The effectiveness of these new methods is demonstrated by test problems and a recent problem in intensity-modulated radiotherapy. The book concludes with a further application: a procedure for solving multiobjective bilevel optimization problems.

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