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Titlebook: Large Scale Linear and Integer Optimization: A Unified Approach; Richard Kipp Martin Book 1999 Springer Science+Business Media New York 19

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Interior Point Algorithms: Polyhedral Transformationspoorly from a computational standpoint. Then in 1984, N. K. Karmarkar [260] created new excitement with claims of an algorithm that not only was polynomial in complexity, but also outperformed the simplex algorithm on large sparse problems. This created an incredible amount of research on . methods
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The Simplex Algorithmodels. In Section 5.6 rules are given to guarantee finite convergence of the simplex algorithm. The complexity of the simplex method is addressed in Section 5.7. Concluding remarks are given in Section 5.8. Exercises are provided in Section 5.9.
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