On the modifications of simplex method

Yuxiao He

doi:10.1117/12.2672674

28 March 2023 On the modifications of simplex method

Yuxiao He

Proceedings Volume 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022); 125971C (2023) https://doi.org/10.1117/12.2672674
Event: Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 2022, Nanjing, China

Abstract

Simplex Method is one of the most popular methods to solve Linear Programming problems. Many rules and modifications on Simplex Method are proposed to improve the efficiency of iteration. In this study, traditional rules and latest modifications are presented and introduced, focusing either on revision on pivot rules or on method combination. These rules and modifications can surely either reduce the number of pivot steps or simplify calculation. Some of the traditional rules are further modified and even combined so that latest modifications enjoy higher efficiency. For certain methods, further rules are needed to determine the extent to which the method can improve the efficiency.

Citation Download Citation

Yuxiao He "On the modifications of simplex method", Proc. SPIE 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 125971C (28 March 2023); https://doi.org/10.1117/12.2672674

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