Given a non-convex two-dimensional area and identical rectangular stands, we consider the problem of placing the maximum number of stands in the area, by satisfying a number of operational constraints. We present linear programming models and show the total unimodularity of the matrices associated with their constraint sets. We then give computational results obtained by applying the models to the real-world case of the Beira Mar handcraft fair of Fortaleza (Brazil).
Models and algorithms for fair layout optimization problems / A. E., Fernandes Muritiba; Iori, Manuel; S., Martello; M. J., Negreiros Gomes. - In: ANNALS OF OPERATIONS RESEARCH. - ISSN 0254-5330. - STAMPA. - 179:(2010), pp. 5-14. [10.1007/s10479-008-0451-x]
Models and algorithms for fair layout optimization problems
IORI, MANUEL;
2010
Abstract
Given a non-convex two-dimensional area and identical rectangular stands, we consider the problem of placing the maximum number of stands in the area, by satisfying a number of operational constraints. We present linear programming models and show the total unimodularity of the matrices associated with their constraint sets. We then give computational results obtained by applying the models to the real-world case of the Beira Mar handcraft fair of Fortaleza (Brazil).
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