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Constrained Global Optimization by Constraint Partitioning and Simulated Annealing

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3 Author(s)
Benjamin W. Wah ; University of Illinois at Urbana-Champaign, USA ; Yixin Chen ; Andrew Wan

In this paper, we present constraint-partitioned simulated annealing (CPSA), an algorithm that extends our previous constrained simulated annealing (CSA) for constrained optimization. The algorithm is based on the theory of extended saddle points (ESPs). By decomposing the ESP condition into multiple necessary conditions, CPSA partitions a problem by its constraints into subproblems, solves each independently using CSA, and resolves those violated global constraints across the subproblems. Because each subproblem is exponentially simpler and the number of global constraints is very small, the complexity of solving the original problem is significantly reduced. We state without proof the asymptotic convergence of CPSA with probability one to a constrained global minimum in discrete space. Last, we evaluate CPSA on some continuous constrained benchmarks

Published in:

2006 18th IEEE International Conference on Tools with Artificial Intelligence (ICTAI'06)

Date of Conference:

Nov. 2006