As noted in Differences between Barrier and Simplex Optimizers, the algorithms in the barrier optimizer have very different numeric properties from those in the simplex optimizer. While the barrier optimizer is often extremely fast, particularly on very large problems, numeric difficulties occasionally arise with it in certain classes of problems. For that reason, it is a good idea to run simplex optimizers in conjunction with the barrier optimizer to verify solutions. At its default settings, the ILOG CPLEX Barrier Optimizer always crosses over after a barrier solution to a simplex optimizer, so this verification occurs automatically.
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