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A Method for Global Optimization of Large Systems of Quadratic Constraints

  • Conference paper
Global Optimization and Constraint Satisfaction (COCOS 2003)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3478))

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Abstract

In previous work, we have presented a novel global feasibility solver for the large system of quadratic constraints that arise as subproblems in the solving of hard hybrid problems, such as the scheduling of refineries. In this paper we present the Gradient Optimal Constraint Equation Subdivision (GOCES) algorithm, which incorporates a standard NLP solver and the global feasibility solver to find and establish global optimums for systems of quadratic equations, and present benchmarks.

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References

  1. Boddy, M., Johnson, D.: A New Method for the Global Solution of Large Systems of Continuous Constraints. In: Proceedings of COCOS (2002)

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Author information

Authors and Affiliations

  1. Honeywell Laboratories, Adventium Labs,  

    Nitin Lamba, Mark Dietz, Daniel P. Johnson & Mark S. Boddy

Authors
  1. Nitin Lamba
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  2. Mark Dietz
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  3. Daniel P. Johnson
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  4. Mark S. Boddy
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Editor information

Editors and Affiliations

  1. LINA, FRE CNRS 2729 – University of Nantes, 2, rue de la Houssinière, BP 92208, F-44322, Nantes cedex 3, France

    Christophe Jermann

  2. Institute for Mathematics, University Wien, Nordbergstr. 15, A-1090, Wien, Austria

    Arnold Neumaier

  3. Artificial Intelligence Laboratory, Swiss Federal Institute of Technology, Route J.-D. Colladon, Bat. INR, Office 235, CH-1015, Lausanne, Switzerland

    Djamila Sam

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© 2005 Springer-Verlag Berlin Heidelberg

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Lamba, N., Dietz, M., Johnson, D.P., Boddy, M.S. (2005). A Method for Global Optimization of Large Systems of Quadratic Constraints. In: Jermann, C., Neumaier, A., Sam, D. (eds) Global Optimization and Constraint Satisfaction. COCOS 2003. Lecture Notes in Computer Science, vol 3478. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11425076_5

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  • DOI: https://doi.org/10.1007/11425076_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26003-5

  • Online ISBN: 978-3-540-32041-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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