## Operations Research: Applications and AlgorithmsThe market-leading textbook for the course, Winston's OPERATIONS RESEARCH owes much of its success to its practical orientation and consistent emphasis on model formulation and model building. It moves beyond a mere study of algorithms without sacrificing the rigor that faculty desire. As in every edition, Winston reinforces the book's successful features and coverage with the most recent developments in the field. The Student Suite CD-ROM, which now accompanies every new copy of the text, contains the latest versions of commercial software for optimization, simulation, and decision analysis. |

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### Contents

An Introduction to Model Building | 1 |

Basic Linear Algebra | 11 |

Introduction to Linear Programming | 49 |

Copyright | |

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### Common terms and phrases

annual assume barrels basic variables basis remains optimal choose column player compute concave function constraint convex convex function current basis remains decision variables demand determine dollars dual equations example feasible region Figure find the optimal following LP Formulate an LP given in Table goal goal programming Golden Section Search holding cost increase integer investment knapsack problem labor linear programming LINGO lottery LP relaxation Markov chain matrix max problem maximize maximum-flow problem method minimize month node nonbasic variable nonnegative objective function objective function coefficient obtain optimal solution optimal tableau optimal z-value plant Powerco primal probability PROBLEMS Group profit purchased random variable raw material reorder point requires right-hand side row player satisfy Section shadow price Shapley value shown in Table simplex algorithm Step subproblem Suppose Theorem Type units utility function vector yields