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    'Staff publications' is the digital repository of Wageningen University & Research

    'Staff publications' contains references to publications authored by Wageningen University staff from 1976 onward.

    Publications authored by the staff of the Research Institutes are available from 1995 onwards.

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Record number 457118
Title Regular simplex refinement by regular simplices
Author(s) Casado, L.G.; Tóth, B.G.; Hendrix, E.M.T.; García, I.
Source In: Proceedings of the XII Global Optimization Workshop MAGO 2014 Mathematical and applied global optimization. - Universidad de Almería - ISBN 9788416027576 - p. 93 - 96.
Event MAGO 2014, Málaga, Spain, 2014-09-01/2014-09-04
Department(s) Operations Research and Logistics
Publication type Contribution in proceedings
Publication year 2014
Abstract A naturalway to define branching in Branch-and-Bound for blending problemis to do bisection. The disadvantage of bisectioning is that partition sets are in general irregular. A regular simplex with fixed orientation can be determined by its center and size, allowing storage savings in a Branchand- Bound algorithm from computational perspective. Unfortunately for dimension n>3 a regular simplex cannot be covered by regular subsimplices without overlapping. The possible difficulties of the refinement by regular simplices are studied here. The main challenge is to find a refinement with a good convergence ratio which facilitates the discarding of simplices in an overlapped and already evaluated region.
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