This research monograph contains everything that is currently known about the simplex method. It covers all new developments achieved by the author that include new phase I procedures for both primal and dual simplex algorithms, a new phase II dual algorithm, new procedures for a starting basis, and a generalized pricing algorithm that allows for the implementation of virtually any known pricing procedure. Being a comprehensive treatment of the topic, it also covers the best algorithms and algorithmic elements from other researchers. Special emphasis is given to the issues of implementation technology of optimization software. The book provides sufficient details about all aspects that are necessary for a state-of-the-art implementation of the simplex method.
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