Approximate Schedule and Homeworks
REFERENCES:
Cohon = "Multiobjective Programming and Planning," J.L. Cohon
Steuer="Multiple Criteria Optimization: Theory, Computation, and Application," R.E. Steuer
| Lecture Notes |
Date | Subject | Homeworks |
| 1 & 2 | Sept 11 | Introduction to MOP: Numerical examples,Pareto optimality, noninferiority and related notions [Cohon, ch. 4,9-10, Steuer, ch. 1, 5 + other references] | HW#1 given out |
| 1 & 2 | Sept 18 | Introduction to MOP: Numerical examples,Pareto optimality, noninferiority and related notions [Cohon, ch. 4,9-10, Steuer, ch. 1, 5 + other references] | HW#1 due HW#2 given out |
| 3 & 4 | Sept 25 | Karush-Kuhn-Tucker (KKT) conditions for optimality and noninferiority[Cohon ch.3,4 Steuer ch. 2 + lecture notes]Examples, theorems, constraint qualifications | HW#2 due HW#3 given out |
| Oct 2 | Guest Lectures: Prawat Sahakij: Multiobjective Optimization in Wastewater Management (3-4pm) Break 4-4:15pm Yohan Shim: Multiobjective Optimization in Telecommunications Management (4:15-5:15) |
HW#3 due HW#4 given out |
|
| 3 & 4
|
Oct 9 | Karush-Kuhn-Tucker (KKT) conditions for optimality and noninferiority [Cohon ch.3,4 Steuer ch. 2 + lecture notes] Examples, theorems, constraint qualifications, Optimization software introduction. Review of Linear Programming [Steuer, ch. 3, 4] Pivoting, Revised Simplex Method Optimization [Steuer, ch. 4] Phase III for determining alternative optima Crashing a basis Parametric programming |
HW#4 due HW#5 given out |
| 5, 6, 7 | Oct 16 | Review of Linear Programming [Steuer, ch. 3, 4] Pivoting, Revised Simplex Method Optimization [Steuer, ch. 4] Phase III for determining alternative optima Crashing a basis Parametric programming |
HW#5due HW#6 given out |
| 5, 6, 7 | Oct 23 |
Review of Linear Programming [Steuer, ch. 3, 4] Pivoting, Revised Simplex Method Optimization [Steuer, ch. 4] Phase III for determining alternative optima Crashing a basis Parametric programming |
HW#6 due HW#7 given out |
| 8, 9, 10 | Oct 30 | Project proposals due on Oct. 30 Methods for Multiobjective Linear Programs that Generate the Entire Pareto Optimal Set Zeleny's Multiobjective Simplex Method [Cohon, ch. 6, Steuer, ch. 9] Steuer's Vector Maximum Algorithm [Steuer, ch. 9] |
HW#7 due HW#8 given out |
| Nov 6 | In-Class Exam #1 | HW#8 due HW#9 given out |
|
| 8, 9, 10 | Nov 13 | Methods for Multiobjective Linear Programs that Generate the Entire Pareto Optimal Set Zeleny's Multiobjective Simplex Method [Cohon, ch. 6, Steuer, ch. 9] Steuer's Vector Maximum Algorithm [Steuer, ch. 9] |
|
| 8, 9, 10 | Nov. 20 | Methods for Multiobjective Linear Programs that Generate the Entire Pareto Optimal Set Zeleny's Multiobjective Simplex Method [Cohon, ch. 6, Steuer, ch. 9] Steuer's Vector Maximum Algorithm [Steuer, ch. 9] |
|
| 11 & 12 | Nov. 27 | Methods for General Multiobjective Optimization Programs that Generate an Approximation to the Pareto Optimal Set Weighting Method [Steuer ch. 6, 7, Cohon, ch. 6] Constraint Method [Steuer, ch. 7, Cohon, ch. 6] |
|
| 11 & 12 | Dec. 4 | Methods for General Multiobjective Optimization Programs that Generate an Approximation to the Pareto Optimal Set Weighting Method [Steuer ch. 6, 7, Cohon, ch. 6] Constraint Method [Steuer, ch. 7, Cohon, ch. 6] |
|
| Dec. 11 | In-Class Exam #2 | ||
| Finals week (Dec. 18) | Project presentations and final reports due |
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