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| Introduction to model building | |
| An Introduction to Modeling | |
| The Seven-Step Model-Building Process | |
| Examples | |
| Basic linear algebra | |
| Matrices and Vectors | |
| Matrices and Systems of Linear Equations | |
| The Gauss-Jordan Method for Solving Systems of Linear Equations | |
| Linear Independence and Linear Dependence | |
| The Inverse of a Matrix | |
| Determinants | |
| Introduction to linear programming | |
| What is a Linear Programming Problem? The Graphical Solution of Two-Variable Linear Programming Problems | |
| Special Cases | |
| A Diet Problem | |
| A Work-Scheduling Problem | |
| A Capital Budgeting Problem | |
| Short-term Financial Planning | |
| Blending Problems | |
| Production Process Models | |
| Using Linear Programming to Solve Multiperiod Decision Problems: An Inventory Model | |
| Multiperiod Financial Models | |
| Multiperiod Work Scheduling | |
| The simplex algorithm and goal programming | |
| How to Convert an LP to Standard Form | |
| Preview of the Simplex Algorithm | |
| The Simplex Algorithm | |
| Using the Simplex Algorithm to Solve Minimization Problems | |
| Alternative Optimal Solutions | |
| Unbounded LPs | |
| The LINDO Computer Package | |
| Matrix Generators, LINGO, and Scaling of LPs | |
| Degeneracy and the Convergence of the Simplex Algorithm | |
| The Big M Method | |
| The Two-Phase Simplex Method | |
| Unrestricted-in-Sign Variables | |
| Karmarkar''s Method for Solving LPs | |
| Multiattribute Decision-Making in the Absence of Uncertainty: Goal Programming | |
| Solving LPs with Spreadsheets | |
| Sensitivity analysis: an applied approach | |
| A Graphical Introduction to Sensitivity Analysis | |
| The Computer and Sensitivity Analysis | |
| Managerial Use of Shadow Prices | |
| What Happens to the Optimal z-value if the Current Basis is No Longer Optimal? | |
| Sensitivity analysis and duality | |
| A Graphical Introduction to Sensitivity Analysis | |
| Some Important Formulas | |
| Sensitivity Analysis | |
| Sensitivity Analysis When More Than One Parameter is Changed: The 100% Rule | |
| Finding the Dual of an LP | |
| Economic Interpretation of the Dual Problem | |
| The Dual Theorem and Its Consequences | |
| Shadow Prices | |
| Duality and Sensitivity Analysis | |
| Transportation, assignment, and transshipment problems | |
| Formulating Transportation Problems | |
| Finding Basic Feasible Solutions for Transportation Problems | |
| The Transportation Simplex Method | |
| Sensitivity Analysis for Transportation Problems | |
| Assignment Problems | |
| Transshipment Problems | |
| Network models | |
| Basic Definitions | |
| Shortest Path Problems | |
| Maximum Flow Problems | |
| CPM and PERT | |
| Minimum Cost Network Flow Problems | |
| Minimum Spanning Tree Problems | |
| The Network Simplex Method | |
| Integer programming | |
| Introduction to Integer Programming | |
| Formulation Integer Programming Problems | |
| The Branch-and-Bound Method for Solving Pure Integer Programming Problems | |
| The Branch-and-Bound Method for Solving Mixed Integer Programming Problems | |
| Solving Knapsack Problems by the Branch-and-Bound Method | |
| Solving Combinatorial Optimization Problems by the Branch-and-Bound Method | |
| Implicit Enumeration | |
| The Cutting Plane Algorithm | |
| Advanced topics in linear programming | |
| The Revised Simplex Algorithm | |
| The Product Form of the Inverse | |
| Using Column Generation to Solve Large-Scale LPs | |
| The Dantzig-Wolfe Decomposition Algorithm | |
| The Simplex Methods for Upper-Bounded Variables | |
| Karmarkar''s Method for Solving LPs | |
| Nonlinear programming | |
| Review of Differential Calculus | |
| Introductory Concepts | |
| Convex and Concave Functions | |
| Solving NLPs with One Variable | |
| Golden Section Search | |
| Unconstrained Maximization and Minimization with Several Variables | |
| The Method of Steepest Ascent | |
| Lagrange Multiples | |
| The Kuhn-Tucker Conditions | |
| Quadratic Programming | |
| Separable Programming | |
| The Method of Feasible Directions | |
| Pareto Optimality and Tradeoff Curves | |
| Review of calculus and probability | |
| Review of Integral Calculus | |
| Differentiation of Integrals | |
| Basic Rules of Probability | |
| Bayes'' Rule | |
| Random Variables | |
| Mean Variance and Covariance | |
| The Normal Distribution | |
| Z-Transforms | |
| Review Problems | |
| Decision making under uncertainty | |
| Decision Criteria | |
| Utility Theory | |
| Flaws in Expe | |
| Table of Contents provided by Publisher. All Rights Reserved. |
