Abstract

Commercial linear programming (LP) systems are important efficient, general and robust. One can expect of them that they can cope rapidly with linear programs of very large size, even if these are not particularly well formulated. They can accept and solve models of wide diversity, and therefore permit the redesign and modification of problems which is characteristic of almost all practical operations research studies (in contrast to specialized algorithms and codes, which have the tendency to become useless when the problem changes unexpectedly). And finally, they have become remarkably sturdy in the face of poor data such as redundant or similar constraints, degeneracy and general numerical difficulty.

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