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Multilevel Optimization: Algorithms and Applications
- Publication Year :
- 2013
-
Abstract
- 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).
- Subjects :
- Mathematical optimization
Algorithms
Mathematical models
Computer science
Subjects
Details
- Language :
- English
- ISBNs :
- 9780792346937 and 9781461303077
- Volume :
- 00020
- Database :
- eBook Index
- Journal :
- Multilevel Optimization: Algorithms and Applications
- Publication Type :
- eBook
- Accession number :
- 2885096