Multilevel Optimization: Algorithms and Applications by A Migdalas

Multilevel Optimization: Algorithms and Applications by A Migdalas

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Zusammenfassung

Researchers working with nonlinear programming often claim "the word is non­ linear" indicating that real applications require nonlinear modeling. If only two levels are considered, we have one leader (associated with the upper level) and one follower (associated with the lower level).

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Multilevel Optimization: Algorithms and Applications by A Migdalas

Researchers working with nonlinear programming often claim the word is non- linear indicating that real applications require nonlinear modeling. The same is true for other areas such as multi-objective programming (there are always several goals in a real application), stochastic programming (all data is uncer- tain and therefore stochastic models should be used), and so forth. In this spirit we claim: The word is multilevel. In many decision processes there is a hierarchy of decision makers, and decisions are made at different levels in this hierarchy. One way to handle such hierar- chies is to focus on one level and include other levels' behaviors as assumptions. Multilevel programming is the research area that focuses on the whole hierar- chy structure. In terms of modeling, the constraint domain associated with a multilevel programming problem is implicitly determined by a series of opti- mization problems which must be solved in a predetermined sequence. If only two levels are considered, we have one leader (associated with the upper level) and one follower (associated with the lower level).
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ISBN 13 9780792346937
ISBN 10 0792346939
Titel Multilevel Optimization: Algorithms and Applications
Autor Athanasios Migdalas
Serie Nonconvex Optimization And Its Applications
Buchzustand Nicht verfügbar
Bindungsart Hardback
Verlag Kluwer Academic Publishers
Erscheinungsjahr 1997-12-31
Seitenanzahl 386
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
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