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Wilfrid Laurier University Leaf
September 1, 2014
 
 
Canadian Excellence

Ignacio Castillo




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Ignacio Castillo

An $epsilon$-accurate model for optimal unequal-area facility layout (ABSTRACT)


Castillo, I. and T. Westerlund

published: 2005 | Research publication | Refereed Journals - ODS

Castillo, I. and T. Westerlund (2005). "An $epsilon$-accurate model for optimal unequal-area facility layout",  Computers & Operations Research, 32(3):429447.


ABSTRACT: This paper proposes a mixed-integer linear programming model for the block layout design problem with unequal areas that satisfies the area requirements with a given accuracy. The basic aspect of the model consists of an $epsilon$-accurate representation of the underlying nonconvex and hyperbolic area restrictions using cutting planes. The use of such a representation of the area restrictions allow us to solve several challenging test problems to optimality with a guarantee that the final area of each department is within an $epsilon$% error of the required area. Numerical results indicate that the proposed model seriously challenge other optimization approaches on this important class of hard, fundamental problems.

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revised Sep 21/06

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