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| Handouts |
| Homework |
| Copies of previous exams |
| Syllabus and Other Course Information |
| Answer Keys for Old Exams |
| The Simplex Procedure -- PowerPoint ~ 1.82 Meg |
| The Simplex Procedure -- PDF ~ 140 K -- the less than or equal signs on the second slide are fixed after a fashion. |
| Term Projects/Presentations |
| No. | Formats | Title |
| 1 |
|
Solutions to Systems of Simultaneous Equations |
|---|---|---|
| 2 |
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A Review of Conditions Affecting the Existence and Uniqueness of Simultaneous Solutions to Systems of Linear Equations |
| 2A |
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First In Class LP Example in LINDO |
| 2B |
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First In Class LP Example in GAMS -- "matrix format" -- input and listing |
| 2C |
|
First In Class LP Example in GAMS -- "Equation format" -- input |
| 2D |
|
First In Class LP Example in QM |
| NA |
|
First In Class LP Example in GAMS -- "Equation format" -- listing -- optional handout |
| 3 |
|
Figure 5.1: Linear Programming Opportunity Set |
| 4 |
|
Maximizing Per Minute Net Profit |
| 4A |
|
Southern Krates Maximization Problem in LINDO |
| NA |
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Southern Krates Maximization Problem in -- GAMS -- Input -- optional handout |
| NA |
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Southern Krates Maximization Problem in -- GAMS -- output -- optional handout |
| 5 |
|
Tableaus of the Southern Krates Solution with Matrix Algebra Implications |
| NA |
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LINDO -- Tie for Entering Basic Variable -- Optional Handout |
| NA |
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GAMS -- Tie for Entering Basic Variable -- Input -- Optional Handout |
| NA |
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GAMS -- Tie for Entering Basic Variable -- Output -- Optional Handout |
| NA |
|
LINDO -- Tie for Leaving Basic Variable -- Optional Handout |
| NA |
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GAMS -- Tie for Leaving Basic Variable -- Input -- Optional Handout |
| NA |
|
GAMS -- Tie for Leaving Basic Variable -- Output -- Optional Handout |
| NA |
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LINDO -- Tie for Both Entering and Leaving Basic Variable -- Optional Handout |
| NA |
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GAMS -- Tie for Both Entering and Leaving Basic Variable -- Input -- Optional Handout |
| NA |
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GAMS -- Tie for Both Entering and Leaving Basic Variable -- Output -- Optional Handout |
| NA |
|
Unbounded solution example in LINDO |
| NA |
|
Unbounded solution example in GAMS |
| 6 |
|
Multiple Optimal Solutions |
| 6A |
|
Multiple Optimal Solutions with LINDO |
| 6B |
|
Multiple Optimal Solutions with GAMS -- Listing File |
| 7 |
|
Equality Constraints |
| NA |
|
Equality Constraint example solved with LINDO |
| NA |
|
Equality Constraint example solved with GAMS |
| 8 |
|
Minimization with Equality and Greater than or Equal to Constraints |
| 8A |
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Minimization example solved with LINDO |
| 8B |
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Minimization example solved with GAMS |
| 9 |
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No Feasible Solution |
| NA |
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No Feasible Solution with LINDO |
| NA |
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No Feasible Solution with GAMS |
| 10 |
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A GAMS Primer / GAMS Usage Notes |
| NA |
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SOLVER -- A Primer |
| NA | Bb | Readings -- GAMS Manuals software and other download files
-- |
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MOTAD Example |
| NA | GAMS MOTAD file -- for downloading as a MOTAD template | |
| NA |
|
GAMS MOTAD Listing file |
| NA |
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GAMS "MOTAD" example without risk -- listing file |
| NA |
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GAMS "MOTAD" example without risk or rotation -- listing file |
| NA |
|
GAMS "MOTAD" example without rotation -- listing file |
| 12 |
|
Target MOTAD Example |
| NA | GMS | GAMS Target MOTAD file -- for downloading as a Target MOTAD template |
| NA |
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GAMS Target MOTAD listing file |
| 13 |
|
Notes on Detrending Methods USED in Risk Analysis |
| 14 |
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Chance-constrained Programming: A Simple Way to Incorporate Risk in a Linear Programming Model |
| 15 |
|
A Stochastic Programming Analysis of the Farm Level Implications of Soil Erosion Control |
| 16 |
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A Chance-constrained Programming Analysis of Soil Conservation: An Examination of the Normality Assumption |
| 17 |
|
Basic Data for a Sample Transportation Problem Objective: Minimize Transportation Cost |
| NA | GMS | Sample Transportation Problem GAMS Template for downloading |
| NA |
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Sample Transportation Problem GAMS listing file |
| 18 |
|
LINDO Sensitivity Analysis |
| 19 |
|
Sensitivity Analysis |
| 20 |
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Sensitivity Analysis and Parametric Changes |
| 21 |
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Adding a New Row |
| 22 |
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Summary of Investigating the Effects of Changes in the Model Parameters on the Optimal Solution |
| 23 |
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Answer Key: Hillier and Liebermann Chapter 6 -- Only Available online with the password |
| 24 |
|
Karush Kuhn Tucker Conditions in Matrix Notation |
| 25 |
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Primal and Dual Problems Solved with LINDO |
| 26 |
|
Primal/Dual |
| 27 |
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Primal Dual Table |
| 28 |
|
Comparison of Primal and Dual Karush Kuhn Tucker Conditions |
| 29 |
|
Complimentary Slackness Conditions |
| 30 |
|
Complimentary Basic Solutions for the Southern Krates Problem |
| 31 |
|
Southern Krate's Fertilizer Problem |
| 32 |
|
Primal Solution to the Southern Krates Problem |
| 33 |
|
Modified Southern Krates Problem to Create a Non-integer Solution |
| 34 |
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LINDO Integer Solution to Modified Southern Krates Problem |
| 34A |
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A Simple Quadratic Objective Function to Illustrate Non-Linear Programming in GAMS |
| 34B |
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GAMS Non Linear Programming Example 2 |
| NA | GMS | GAMS Template for downloading Integer Programming Model for Modified Southern Krates Problem |
| NA |
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GAMS Listing file for the Integer Programming Model of the Modified Southern Krates Problem |
| 34A | GMS | First in Class Non-Linear Programming Example -- GAMS Template for downloading |
| NA |
|
First in Class Non-Linear Programming Example -- GAMS listing file |
| 34B | GMS | Second in Class Non-Linear Programming Example -- GAMS Template for downloading |
| NA |
|
Second in Class Non-Linear Programming Example -- GAMS listing file |
| 35 |
|
Minimizing Variance Quadratic Risk Programming |
| NA | GMS | GAMS minimizing variance file -- for downloading as a template |
| NA |
|
GAMS minimizing variance listing file |
| 36 |
|
Classic Quadratic Risk Programming |
| NA | GMS | GAMS Classic Quadratic Risk Programming file -- for downloading as a template |
| NA |
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GAMS Classic Quadratic Risk Programming listing file |
| 37 |
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Hazel and Norton Maximin Example |
| 38 |
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Hazel and Norton Minimax Example |
| No. | Formats | Title |
| 1 |
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Homework #1 |
|---|---|---|
| 2 |
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Homework #2 |
| 3 |
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Homework #3 |
| 4 |
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Homework #4 |
| 5 |
|
Homework #5 |
| 6 |
|
Homework #6 |
| Formats | Year |
| 1992 | |
| 1993 | |
| 1994 | |
| 1995 | |
| 1996 |
| Formats | Year |
| 2007 Final Exam | |
| 2007 Midterm Answer Key | |
| 2006 Final Answer Key | |
| 2006 Midterm Answer Key | |
| 2005 Midterm Answer Key | |
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2004 Final Answer Key -- Currently missing due to change in secretaries and/or water damage in old office |
| 2004 Midterm Answer Key | |
| 2003 Final Answer Key | |
| 2003 Midterm Answer Key | |
| 2002 Midterm Answer Key | |
| 2001 Final Answer Key | |
| 2001 Midterm Answer Key | |
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2000 Final Answer Key |
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2000 Midterm Answer Key |
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1999 Final Answer Key |
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1999 Midterm Answer Key |
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1998 Final Answer Key |
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1998 Midterm Answer Key |
| 1997 Final Answer Key | |
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1997 Midterm Answer Key |
| 1996 Answer Keys to Exams | |
| 1996 Answer Keys to Exams | |
| 1995 Answer Keys to Exams | |
| 1994 Answer Keys to Exams | |
| 1993 Answer Keys to Exams | |
| 1992 Answer Keys to Exams |
Page
created and maintained by Dan Taylor.
Last update: August 21, 2008
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AAEC HOMEPAGE URL: http://www.aaec.vt.edu/aaec/