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Reasons from decision structure, integrality and convexity, and explicit uncertainty through LP/MIP solvers (Gurobi, CPLEX, OR-Tools CP-SAT), stochastic and Wasserstein-distributionally-robust formulations, and DES (SimPy, AnyLogic) benchmarked on Solomon/MIPLIB instances, while treating unit inconsistencies, optimality-gap-versus-stale-data trade-offs, infeasibility (IIS) from forgotten labor and fairness constraints, and day-to-day solution oscillation as first-class failure modes.