## Optimization in Operations ResearchThis book is specifically designed to change the way deterministic optimization is taught to introductory students.Toward this end, it exposes students to the broad scope of the topic, reinforces the basic principles, sparks students' enthusiasm about the field, provides tools of immediate relevance and develops the skills necessary to use those tools. |

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Optimization in operations research

### Contents

Problem Solving with Mathematical Models | 1 |

n Chapter 3 Improving Search | 77 |

Linear Programming Models | 131 |

Copyright | |

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active Analysis apply arcs assignment barrier basic solution basic variables basis branch and bound CFPL choose class optimization software components compute convex corresponding current solution cycle direction decision variables demand Determine digraph direction Ax discrete dual variable example feasible direction feasible set feasible solution Figure Formulate global global optimum goal program graph improving feasible improving search incumbent solution inequality infeasible integer integer linear program iteration Lagrange multipliers Lagrangian length linear program LP relaxation main constraints matrix maximize maximum minimize move direction multiobjective multiplier negative dicycle network flow node nonbasic nonlinear program nonnegative objective function objective function value objective value optimal path optimal solution optimal value optimization model partial solution posynomial primal principle produce quadratic Sample Exercise schedule Section sequence shortest path shortest path problems shows simplex algorithm simplex direction slack solve standard form Step Table terminate tion tractable unconstrained vector