Models and algorithms for fair layout optimization problems |
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| Authors: | Albert E Fernandes Muritiba Manuel Iori Silvano Martello Marcos J Negreiros Gomes |
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| Institution: | (1) Department of Soil Science, Tarbiat Modares University, 14155-4838 Tehran, Iran;(2) Chair of Plant Nutrition, Technical University of Munich, Am Hochanger 2, 85350 Freising, Germany |
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| 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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