A method for global optimization of large systems of quadratic constraints

  • Authors:
  • Nitin Lamba;Mark Dietz;Daniel P. Johnson;Mark S. Boddy

  • Affiliations:
  • Honeywell Laboratories, Adventium Labs;Honeywell Laboratories, Adventium Labs;Honeywell Laboratories, Adventium Labs;Honeywell Laboratories, Adventium Labs

  • Venue:
  • COCOS'03 Proceedings of the Second international conference on Global Optimization and Constraint Satisfaction
  • Year:
  • 2003

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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.