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单词 simplex algorithm
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simplex algorithm
simplex algorithm n. an algorithm used for finding the optimal solution of a linear function subject to a set of linear constraints by considering adjacent vertices of a convex polytope, each subsequent vertex representing a better solution of the function than the previous one.The simplex algorithm was developed by American mathematician George Dantzig (1914–2005).
ΚΠ
1954 G. B. Dantzig & D. R. Fulkerson in Naval Res. Logistics Q. 1 217 Even a large transportation type problem having no special features can be solved by hand using the simplex algorithm.
1984 New Scientist 6 Dec. 20/3 Narendra Karmarker has developed an algorithm which is both polynomial and outperforms the simplex algorithm in practice.
2017 R. W. Cottle & M. N. Thapa Linear & Nonlinear Optimization iv. 87 Testing the system for the existence of a solution can be carried out by formulating the corresponding Phase I Problem and solving it by the Simplex Algorithm.
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