Introduction to Mathematical Programming

ISBN-10: 0534359647

ISBN-13: 9780534359645

Edition: 4th 2003 (Revised)

Authors: Wayne L. Winston, Munirpallam Venkataramanan, Wallace J. Kahn

List price: $303.95
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Authors Wayne Winston and Munirpallam Venkataramanan emphasize model-formulation and model-building skills as well as interpretation of computer software output. Focusing on deterministic models, this book is designed for the first half of an operations research sequence. A subset of Winston's best-selling OPERATIONS RESEARCH, INTRODUCTION TO MATHEMATICAL PROGRAMMING offers self-contained chapters that make it flexible enough for one- or two-semester courses ranging from advanced beginning to intermediate in level. The book has a strong computer orientation and emphasizes model-formulation and model-building skills. Every topic includes a corresponding computer-based modeling and solution method and every chapter presents the software tools needed to solve realistic problems. LINDO, LINGO, and Premium Solver for Education software packages are available with the book.
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Book details

List price: $303.95
Edition: 4th
Copyright year: 2003
Publisher: Brooks/Cole
Publication date: 10/28/2002
Binding: Hardcover
Pages: 936
Size: 8.25" wide x 10.25" long x 1.25" tall
Weight: 4.4
Language: English

Wayne L. Winston is a professor of Decision Sciences at Indiana University's Kelley School of Business and the recipient of more than 30 teaching awards. For the past 20 years, Wayne has also taught Fortune 500 companies how to use Excel to make smarter business decisions. He has written 15 books on Excel, management science, and mathematics in sports.

An Introduction to Model-Building
An Introduction to Modeling
The Seven-Step Model-Building Process
CITGO Petroleum
San Francisco Police Department Scheduling
GE Capital
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
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
Direction of Unboundedness
Why Does an LP Have an Optimal bfs
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
Using the Excel Solver to Solve LPs
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
Complementary Slackness
The Dual Simplex Method
Data Envelopment 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
Minimum Cost Network Flow Problems
Minimum Spanning Tree Problems
The Network Simplex Method
Integer Programming
Introduction to Integer Programming
Formulating 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 Method for Upper-Bounded Variables
Karmarkar's Method for Solving LPs
Game Theory
Two-Person Zero-Sum and Constant-Sum Games: Saddle Points
Two-Person Zero-Sum Games: Randomized Strategies, Domination, and Graphical Solution
Linear Programming and Zero-Sum Games
Two-Person Nonconstant-Sum Games
Introduction to n-Person Game Theory
The Core of an n-Person Game
The Shapley Value
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 Multipliers
The Kuhn-Tucker Conditions
Quadratic Programming
Separable Programming
The Method of Feasible Directions
Pareto Optimality and Tradeoff Curves
Deterministic Dynamic Programming
Two Puzzles
A Network Problem
An Inventory Problem
Resource Allocation Problems
Equipment Replacement Problems
Formulating Dynamic Programming Recursions
Using EXCEL to Solve Dynamic Programming Problems
Heuristic Techniques
Complexity Theory
Introduction to Heuristic Procedures
Simulated Annealing
Genetic Search
Tabu Search
Comparison of Heuristics
Solving Optimization Problems with the Evolutionary Solver
Price Bundling, Index Function, Match Function, and Evolutionary Solver
More Nonlinear Pricing Models
Locating Warehouses
Solving Other Combinatorial Problems
Production Scheduling at John Deere
Assigning Workers to Jobs with the Evolutionary Solver
Cluster Analysis
Fitting Curves
Discriminant Analysis
Neural Networks
Introduction to Neural Networks
Examples of the Use of Neural Networks
Why Neural Nets Can Beat Regression: The XOR Example
Estimating Neural Nets with PREDICT
Using Genetic Algorithms to Optimize a Neural Network
Using Genetic Algorithms to Determine Weights for a Back Propagation Network
Help, I'm Not Getting Any Younger
Solar Energy for Your Home
Golf-Sport: Managing Operations
Vision Corporation: Production Planning and Shipping
Material Handling in a General Mail-Handling Facility
Selecting Corporate Training Programs
Best Chip: Expansion Strategy
Emergency Vehicle Location in Springfield
System Design: Project Management
Modular Design for the Help-You Company
Brite Power: Capacity Expansion
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