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New ECpM problem formulation optimizes road network partitioning

Researchers have introduced a new problem formulation called the edge-based contiguous p-median (ECpM) problem, designed to partition road networks into compact and contiguous territories. The paper presents two binary programming models to address this, one using a branch-and-cut algorithm with exponential constraints and another employing a polynomial number of shortest-path constraints solvable by standard solvers. The latter approach demonstrated significant speedups, achieving up to 17x faster computation times on large road networks compared to the cut set-based method. AI

RANK_REASON The cluster contains a single academic paper detailing a new problem formulation and solution approaches. [lever_c_demoted from research: ic=1 ai=0.4]

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New ECpM problem formulation optimizes road network partitioning

COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Zeyad Kassem, Adolfo R. Escobedo ·

    The Edge-based Contiguous p-median Problem with Connections to Logistics Districting

    arXiv:2608.11230v1 Announce Type: new Abstract: This paper introduces the edge-based contiguous p-median (ECpM) problem to partition the roads in a network into a given number of compact and contiguous territories. Two binary programming models are introduced, both of which incor…