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2

To impose the distance restriction, use a sparse index set of $(i,j)$ pairs rather than the full Cartesian product $I \times J$. Also, you might consider omitting constraint $(2)$, which will naturally be satisfied unless the penalty for unmet demand is too small to encourage opening any facilities, and constraint $(5)$, which is logically implied by $(3)$ ...


10

One problem you might encounter is that the many solvers are either not available for M1 like CPLEX[1. M1 support for Gurobi might be mixed in general due to issue like "Only use single-threaded BLAS on Mac to avoid overshooting the thread limit" [3] and limited memory which might become a big problem for large systems. You could probably get an ...


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