Multilevel Optimization: Algorithms and Applications (eBook)

A. Migdalas, Panos M. Pardalos, Peter Varbrand (Herausgeber)

eBook Download: PDF

2013
Springer US (Verlag)
978-1-4613-0307-7 (ISBN)

Infos

Researchers working with nonlinear programming often claim "e;the word is non- linear"e; 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).

Produkt-Details

• Erscheint lt. Verlag: 1.12.2013
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• ISBN-10: 1-4613-0307-9 / 1461303079
• ISBN-13: 978-1-4613-0307-7 / 9781461303077