Home Page Icon
Home Page
Table of Contents for
Cover
Close
Cover
by Michael J. Panik
Linear Programming and Resource Allocation Modeling
Cover
Preface
1 Introduction
2 Mathematical Foundations
2.1 Matrix Algebra
2.2 Vector Algebra
2.3 Simultaneous Linear Equation Systems
2.4 Linear Dependence
2.5 Convex Sets and n‐Dimensional Geometry‐Dimensional Geometry
3 Introduction to Linear Programming
3.1 Canonical and Standard Forms
3.2 A Graphical Solution to the Linear Programming Problem
3.3 Properties of the Feasible Region
3.4 Existence and Location of Optimal Solutions
3.5 Basic Feasible and Extreme Point Solutions
3.6 Solutions and Requirement Spaces
4 Computational Aspects of Linear Programming
4.1 The Simplex Method
4.2 Improving a Basic Feasible Solution
4.3 Degenerate Basic Feasible Solutions
4.4 Summary of the Simplex Method
5 Variations of the Standard Simplex Routine
5.1 The M‐Penalty Method‐Penalty Method
5.2 Inconsistency and Redundancy
5.3 Minimization of the Objective Function
5.4 Unrestricted Variables
5.5 The Two‐Phase Method
6 Duality Theory
6.1 The Symmetric Dual
6.2 Unsymmetric Duals
6.3 Duality Theorems
6.4 Constructing the Dual Solution
6.5 Dual Simplex Method (Lemke 1954)
6.6 Computational Aspects of the Dual Simplex Method
6.7 Summary of the Dual Simplex Method
7 Linear Programming and the Theory of the Firm1
7.1 The Technology of the Firm
7.2 The Single‐Process Production Function
7.3 The Multiactivity Production Function
7.4 The Single‐Activity Profit Maximization Model
7.5 The Multiactivity Profit Maximization Model
7.6 Profit Indifference Curves
7.7 Activity Levels Interpreted as Individual Product Levels
7.8 The Simplex Method as an Internal Resource Allocation Process
7.9 The Dual Simplex Method as an Internalized Resource Allocation Process
7.10 A Generalized Multiactivity Profit‐Maximization Model
7.11 Factor Learning and the Optimum Product‐Mix Model
7.12 Joint Production Processes
7.13 The Single‐Process Product Transformation Function
7.14 The Multiactivity Joint‐Production Model
7.15 Joint Production and Cost Minimization
7.16 Cost Indifference Curves
7.17 Activity Levels Interpreted as Individual Resource Levels
8 Sensitivity Analysis
8.1 Introduction
8.2 Sensitivity Analysis
8.3 Summary of Sensitivity Effects
9 Analyzing Structural Changes
9.1 Introduction
9.2 Addition of a New Variable
9.3 Addition of a New Structural Constraint
9.4 Deletion of a Variable
9.5 Deletion of a Structural Constraint
10 Parametric Programming
10.1 Introduction
10.2 Parametric Analysis
10.A Updating the Basis Inverse
11 Parametric Programming and the Theory of the Firm
11.1 The Supply Function for the Output of an Activity (or for an Individual Product)
11.2 The Demand Function for a Variable Input
11.3 The Marginal (Net) Revenue Productivity Function for an Input
11.4 The Marginal Cost Function for an Activity (or Individual Product)
11.5 Minimizing the Cost of Producing a Given Output
11.6 Determination of Marginal Productivity, Average Productivity, Marginal Cost, and Average Cost Functions
12 Duality Revisited
12.1 Introduction
12.2 A Reformulation of the Primal and Dual Problems
12.3 Lagrangian Saddle Points
12.4 Duality and Complementary Slackness Theorems
13 Simplex‐Based Methods of Optimization
13.1 Introduction
13.2 Quadratic Programming
13.3 Dual Quadratic Programs
13.4 Complementary Pivot Method
13.5 Quadratic Programming and Activity Analysis
13.6 Linear Fractional Functional Programming
13.7 Duality in Linear Fractional Functional Programming
13.8 Resource Allocation with a Fractional Objective
13.9 Game Theory and Linear Programming
13.A Quadratic Forms
14 Data Envelopment Analysis (DEA)
14.1 Introduction
14.2 Set Theoretic Representation of a Production Technology
14.3 Output and Input Distance Functions
14.4 Technical and Allocative Efficiency
14.5 Data Envelopment Analysis (DEA) Modeling
14.6 The Production Correspondence
14.7 Input‐Oriented DEA Model under CRS
14.8 Input and Output Slack Variables
14.9 Modeling VRS
14.10 Output‐Oriented DEA Models
References and Suggested Reading
Index
End User License Agreement
Search in book...
Toggle Font Controls
Playlists
Add To
Create new playlist
Name your new playlist
Playlist description (optional)
Cancel
Create playlist
Sign In
Email address
Password
Forgot Password?
Create account
Login
or
Continue with Facebook
Continue with Google
Sign Up
Full Name
Email address
Confirm Email Address
Password
Login
Create account
or
Continue with Facebook
Continue with Google
Next
Next Chapter
Table of Contents
Add Highlight
No Comment
..................Content has been hidden....................
You can't read the all page of ebook, please click
here
login for view all page.
Day Mode
Cloud Mode
Night Mode
Reset