The boundary-to-boundary p-dispersion configuration problem with oval objects

Ignacio Castillo, János D. Pintér and Frank J. Kampas

Journal of the Operational Research Society, 2024, vol. 75, issue 12, 2327-2337

Abstract: We study the problem of allocating “sizeable” (area-consuming) heterogeneous objects with varying features and characteristics in a given feasible region. The objects are modeled by general ovals. The feasible region could be convex (modelled here by regular polygons) or non-convex (modelled here by the intersection of general ovals). We introduce a continuous boundary-to-boundary oval p-dispersion problem. Our objective is to produce optimally dispersed configurations, by maximizing the minimal separation between the boundaries of the oval objects and the boundary of the feasible region.

Date: 2024
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DOI: 10.1080/01605682.2024.2312255

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