1 Introduction to the Problems 1.1 Introduction 1.2 Types of problems to be considered 1.3 Sample problems 1.4 Graphical solution of linear programs 1.5 Summary and objectives 2 Vectors and Matrices 2.1 Introduction 2.2 Vectors 2.3 The span of a set of vectors 2.4 Matrices 2.5 Linear independence 2.6 Systems of equations 2.7 The inverse of a matrix 2.8 Summary and objectives 3 Linear Programming 3.1 Introduction 3.2 Slack variables 3.3 The simplex algorithm 3.4 Basic feasible solutions and extreme points 3.5 Formulation examples 3.6 General constraints and variables 3.7 The dual and minlmizing problems 3.8 Sensitivity analysis 3.9 Summary and objectives 4 Network Models 4.1 Introduction 4.2 The transportation problem 4.3 The critical path method 4.4 Shortest path models 4.5 Minimal spanning trees 4.6 Snmmary and objectives 5 Unconstrained Extrema 5.1 Introduction 5.2 Locating extrema 5.3 The economic lot size model and convexity 5.4 Location of extrema in two variables 5.5 Least squares approximation 5.6 The n-variable case 5.7 Summary and objectives 6 ConstrAined Extrema 6.1 Introduction 6.2 Two variable problems 6.3 More variables; more constraints 6.4 Problems having inequality constraints 6.5 The convex programming problem 6.6 Linear programming revisited 6.7 Summary and objectives 7 Integer ProgrAmming 7.1 Introduction 7.2 The knapsack problem 7.3 The dual simplex algorithm 7.4 Adding a constraint 7.5 Branch and bound for integer programs 7.6 Basic integer programming models 7.7 The traveling salesman problem 7.8 Summary and objectives 8 Introduction to Dynamic Programming 8.1 Introduction to recursion 8.2 The longest path 8.3 A fixed cost transportation problem 8.4 More examples 8.5 Summary and objectives 9 Case Studies 9.1 Tweaking Widget's production 9.2 A furniture sales opportunity 9.3 Buildlng storage lockers 9.4 The McIntire farm 9.5 Cylinders for beverages 9.6 Books by the holidays 9.7 Into a blind trust 9.8 Max's taxes 9.9 A supply network A Brief Introductions to LINDO and LINGO A.1 LINDO A.2 LINGO B A Brief Introduction to Maple B.1 The basics B.2 Using packages C Introduction to Texas Tnstrnments Calculators C.1 A Brief Introduction to the TI-82 C.2 A Brief Introduction to the TI-92 D Selected Answers and Hints References Index </font>
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