## Advanced linear-programming computing techniques |

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### Contents

INTRODUCTION | 1 |

GENERALIZED PROBLEM STATEMENT | 11 |

THE SIMPLEX METHOD | 23 |

Copyright | |

12 other sections not shown

### Common terms and phrases

77 column assumed basic solution basic variables basis heading block bounded variables change of basis Chap coefficients constraint D-W algorithm decomposition derived problem discussed dual feasibility dual problem dual variables dual-feasible elements enter the basis equations example feasible solution Hence identity matrix incoming vector infeasible input integer integer programs iteration linear programming linearly independent logical columns logical variable LP problem matrix maximum negative nonbasic nonzero objective function obtained optimal basis optimal solution output parameter parameterized PARCOL PAROBJ PARRHS PARROW pivot selection position pricing pricing vector primal algorithm primal problem primal solution procedure produces product form RAND Corporation range Rhs Basis Row right-hand side routines rows and columns simplex method solved step structural variables subproblem Suppose tableau TDIF techniques Theorem tion transformed type-1 variables unbounded unfinished widgets updated usually zero