Multistart hooke and jeeves filter method for mixed variable optimization

Fernandes, Florbela P.; Costa, M. Fernanda P.; Fernandes, Edite M.G.P.; Rocha, Ana Maria A.C.

http://hdl.handle.net/10198/9423

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Authors

Fernandes, Florbela P.

Costa, M. Fernanda P.

Fernandes, Edite M.G.P.

Rocha, Ana Maria A.C.

Abstract(s)

In this study, we propose an extended version of the Hooke and Jeeves algorithm that uses a simple heuristic to handle integer and/or binary variables and a filter set methodology to handle constraints. This proposal is integrated into a multistart method as a local solver and it is repeatedly called in order to compute different optimal solutions. Then, the best of all stored optimal solutions is selected as the global optimum. The performance of the new method is tested on benchmark problems. Its effectiveness is emphasized by a comparison with other well-known stochastic solvers.

Keywords

Global optimization Multistart Hooke and jeeves Filter method

URI

http://hdl.handle.net/10198/9423

Citation

Fernandes, Florbela P.; Costa, M. Fernanda P.; Fernandes, Edite M.G.P.; Rocha, Ana Maria A. C. (2013). Multistart hooke and jeeves filter method for mixed variable optimization. In 11TH International conference of Numerical analysis and Applied Mathematics. Rhodes, Grécia. 1558, p.614-617. ISBN 978-0-7354-1184-5