## Applied Mathematical ProgrammingMathematical programming: an overview; solving linear programs; sensitivity analysis; duality in linear programming; mathematical programming in practice; integration of strategic and tactical planning in the aluminum industry; planning the mission and composition of the U.S. merchant Marine fleet; network models; integer programming; design of a naval tender job shop; dynamic programming; large-scale systems; nonlinear programming; a system for bank portfolio planning; vectors and matrices; linear programming in matrix form; a labeling algorithm for the maximun-flow network problem. |

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### Contents

An Overview | 1 |

Solving Linear Programs | 48 |

Sensitivity Analysis | 91 |

Copyright | |

15 other sections not shown

### Common terms and phrases

algorithm approximation artificial variables assume barbell Basic Current variables basic feasible solution basic variables canonical form capacity Chapter column concave function consider constraints convex convex functions corresponding Current values Current variables values decision variables decomposition defined demand determined dual problem dynamic programming enter the basis equations example extreme points feasible region final tableau flow formulation given infeasible initial integer program inventory iteration linear program linear-programming model lower bound machine master problem matrix Maximize Minimize month node nonbasic variables nonlinear program nonnegative objective function objective value objective-function coefficients operating optimal solution optimal value optimum original problem parameters period pivot portfolio primal procedure production reduced costs resource restricted master resulting righthand righthand-side values schedule shadow prices ship simplex algorithm simplex method slack variables smelter solve stage subproblem UNBOUNDED units upper bound vector weighting yield curves zero