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Introduction to Mathematical Programming by Wallace J. Kahn, Munirpallam Venkataramanan and Wayne L. Winston (2002, Hardcover)

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Product Identifiers

Publisher
Brooks/Cole
ISBN-10
0534359647
ISBN-13
9780534359645
eBay Product ID (ePID)
103114590

Product Key Features

Number of Pages
936 Pages
Publication Name
Introduction to Mathematical Programming
Language
English
Subject
Probability & Statistics / General, Operations Research, Management Science
Publication Year
2002
Features
Revised
Type
Textbook
Subject Area
Mathematics, Technology & Engineering, Business & Economics
Author
Wallace J. Kahn, Munirpallam Venkataramanan, Wayne L. Winston
Format
Hardcover

Dimensions

Item Height
1.5 in
Item Weight
64.1 Oz
Item Length
10 in
Item Width
8 in

Additional Product Features

Edition Number
4
Intended Audience
College Audience
LCCN
2002-111346
Dewey Edition
0
Illustrated
Yes
Volume Number
Vol. 1
Dewey Decimal
519.7
Table Of Content
1. INTRODUCTION TO MODEL BUILDING. An Introduction to Modeling. The Seven-Step Model-Building Process. Examples. 2. 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. 3. INTRODUCTION TO LINEAR PROGRAMING. 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. 4. THE SIMPLEX ALGORITM AND GOAL PROGRAMING. 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. 5. 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? 6. 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. 7. 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. 8. 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. 9. 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. 10. 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. 11. GAME THEORY. Two-Person Zero-Sum and Constant-Sum Games: Saddle Points. Two-Person Zero-Sum Games: Randomized Str4ategies, Domination, and Graphical Solution. Linear Programming and Zero-Sum Games. Two-Person Nonconstant-Sum Games. Introduction to n-Person Game Theory. The Core o f an n-Person Game. The Shapely Value. 12. 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. 13.
Edition Description
Revised edition
Synopsis
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.
LC Classification Number
QA402.5.W53 2002

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Introduction to Mathematical Programming by Wallace J. Kahn, Munirpallam Venkataramanan and Wayne L. Winston (2002, Hardcover)

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artículo 1 Introduction to Mathematical Programming: Applications and Algor

artículo 2 Introduction to Mathematical Programming: Applications and Algorithms, Volume 1

artículo 3 Introduction to Mathematical Programming: Operations Research, Vol. 1 [Book & CD

artículo 4 Introduction to Mathematical Programming: Operations Research, Vol. 1 (Book & CD

artículo 5 Introduction to Mathematical Programming: Applications and Algorithms, Vol 1- VG

artículo 6 Introduction to Mathematical Programming by Munirpallam Venkataramanan, Wayne L.

artículo 7 Introduction to Mathematical Programming: Operations Research, Vol. 1 [Book & CD

artículo 8 Introduction to Mathematical Programming: Operations Research, Vol. 1 (Book & C,

artículo 9 Introduction to Mathematical Programming Volume 1 by Wayne L Winston

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