Solving Nonlinear Constrained Minimization Problems with a New Interval Valued Function

Springer Science and Business Media LLC - Tập 5 - Trang 395-406 - 1999
Ferenc Kálovics1
1Institute of Mathematics, University of Miskolc, Miskolc-, Hungary

Tóm tắt

The paper represents a continuation of the work the author previously published in this journal for unconstrained problems. An interval (box) valued function, the so-called zone function, is introduced in the first section. The next section uses the new notion for finding global minima of continuous multivariate real functions over a set given by nonlinear inequality constraints. Two numerical examples are presented in the third section. The second numerical example gives a better approximation to a welded tubular structure problem than one that has appeared in the literature.

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Tài liệu tham khảo

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Jansson, C. and Knüppel, O.: A Branch and Bound Algorithm for Bound Constrained Optimization Problems without Derivatives, J. Glob. Optim. 7 (1995), pp. 297-331.

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Springer Science and Business Media LLC

Tập 5

395-406

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