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Titlebook: Linear Programming Computation; Ping-Qi PAN Book 2023Latest edition The Editor(s) (if applicable) and The Author(s), under exclusive licen

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Dual Simplex Phase-l MethodThe mission of a . procedure is to provide an initial dual feasible basis to get the dual simplex method started.
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Primal-Dual Simplex Methode solved fast by the dual simplex method, and vice versa. Consequently, LP packages often include multiple options, as it seems to be impossible to predetermine which method would be better to solve a given problem. Therefore, scholars have attempted to fuse the two methods into one for years.
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Geometry of Feasible Region point, face, vertex, extreme direction, representation of ., optimal face and optimal vertex, graphic approach to LP, heuristic characteristic of an optimal solution, and feasible direction and active constraint.
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Sensitivity Analysis and Parametric LPping variable/constraint, and replacing a row/column. This theme, termed ., has important applications in integer and/or mixed-integer linear programming. In addition, we introduce the closely related parametric LP, such as parameterizing the costs . and/or the right-hand side ..
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