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  "Title": "Discrete Diversity, Dispersion, and Coverage Subset Selection",
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  "Authors@R": "person(\"Martin R.\", \"Smith\",\nemail = \"martin.smith@durham.ac.uk\",\nrole = c(\"aut\", \"cre\", \"cph\"),\ncomment = c(ORCID = \"0000-0001-5660-1727\"))",
  "Description": "Solves discrete location objectives on a distance matrix\nor Euclidean coordinate set. The Max-Min Diversity (MMDP /\np-dispersion) objective, which maximizes the minimum pairwise\ndistance within a selection of k items, is solved by\nfarthest-first selection (Gonzalez 1985)\n<doi:10.1016/0304-3975(85)90224-5>; the DropAdd tabu-search\nheuristic (Porumbel, Hao & Glover 2011)\n<doi:10.1007/s10479-011-0898-z>, GRASP with path-relinking\n(Resende, Marti, Gallego & Duarte 2010)\n<doi:10.1016/j.cor.2008.05.011>, and an exact node-packing\ninteger program (Sayyady & Fathi 2016)\n<doi:10.1016/j.ejor.2016.02.026>. The Max-Mean Dispersion\nobjective, which selects a subset of unrestricted size\nmaximising the sum of its pairwise distances divided by the\nnumber of selected elements, is solved by\nreinforcement-learning-guided tabu search (Nijimbere et al.\n2020) <doi:10.3934/jimo.2020115>. The discrete k-centre\n(min-max covering / facility location) objective, which chooses\nk centres to minimise the largest distance from any point to\nits nearest centre, is solved via the CDSh heuristic\n(Garcia-Diaz et al. 2017 <doi:10.1007/s10732-017-9345-x>, 2019\n<doi:10.1109/ACCESS.2019.2933875>), and an exact minimum-cover\ninteger program. The maximum-entropy (maxdet) objective, which\nmaximises the log-determinant of a similarity kernel built from\nthe distances (Shewry & Wynn 1987\n<doi:10.1080/02664768700000020>; the mode of a determinantal\npoint process, Kulesza & Taskar 2012 <doi:10.1561/2200000044>),\nis solved by greedy pivoted-Cholesky selection and, for small\ninstances, exact enumeration.",
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  "Repository": "https://ms609.r-universe.dev",
  "Date/Publication": "2026-10-07 10:58:48 UTC",
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  "Author": "Martin R. Smith [aut, cre, cph] (ORCID:\n<https://orcid.org/0000-0001-5660-1727>)",
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