First Sentence:
In 1827, the French mathematician J.B.J. Fourier published a method for solving systems of linear inequalities.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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feasible tree solution, interior path parameter, optimal basis matrix, coalition vector, demanded napkins, feasible spanning tree, nondegenerate optimal solution, current interior point, affine scaling procedure, fast laundry service, optimal basic variables, network simplex method, primal slack variables, dual optimal solution, optimal dual values, dual slack variables, primal optimal solution, initial interior point, objective coefficient, primal model, dual decision variables, current basis matrix, current objective value, basic feasible solution, objective value changes
Key Phrases - Capitalized Phrases (CAPs):
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Simplex Method, Simplex Tableau, Simplex Algorithm, Branch-and-bound Method, Selected Exercises, Branch-and-bound Tree, Complementary Slackness Relations, Appendix Convexity, Transshipment Problem, Appendix Linear Algebra, Minimum Cost Flow Problem, Minimum-ratio Test, Traveling Salesman Problem, Appendix Graph Theory, Assignment Problem, Minimum Maximum, Catering Service Problem, Critical Path, Using Theorem, Branch-and-bound Algorithm, Cutting Plane Method, Knapsack Model, Linear Production, Perturbation Procedure, Consider Table
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