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Multilevel Optimization: Algorithms and Applications by A. Migdalas, Panos M. Pardalos, Peter Värbrand

Multilevel Optimization: Algorithms and Applications

by A. Migdalas , Panos M. Pardalos , Peter Värbrand
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Book cover type: Hardcover
  • ISBN13: 9780792346937
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 386
  • Original Price: USD 219.99
  • Language: English
  • Edition: 1998
  • Item Weight: 744 grams
  • BISAC Subject(s): Applied

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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