System Optimization and Analysis for Manufacturing
Lecture Notes
|
WEEK # |
SES # |
TOPICS |
|
1 |
1 |
Introduction and Overview (PDF) |
|
|
2 |
LP (Linear Programming) - Introduction, Formulations and Geometry (PDF) |
|
|
3 |
LP (Linear Programming) - Example (PDF) |
|
2 |
4 |
Networks - Introduction (PDF) |
|
|
5 |
LP (Linear Programming) - Example (PDF) |
|
3 |
6 |
LP (Linear Programming) - Example: Tony Palumbo, Ford |
|
|
7 |
LP (Linear Programming) - Solution Methods and Sensitivity Analysis (PDF) |
|
4 |
8 |
Integer Programming - Formulations (PDF) |
|
|
9 |
Integer Programming - Algorithms (PDF) |
|
|
10 |
Integer Programming - Heuristics |
|
5 |
11 |
Debriefing of Inventory Simulation (with 15.761) |
|
|
12 |
Stochastic LP (Linear Programming) |
|
|
13 |
Optimization in Practice: John Bean, Intel |
|
6 |
14 |
Introduction, Simulation Process and Stochastic Modeling (PDF) |
|
|
15 |
Monte-Carlo Theory and Examples (with Crystal Ball®) (PDF) |
|
7 |
16 |
Ontario Gateway Case Discussion (PDF) |
|
|
17 |
Discrete-Event Framework and Examples (with SIMUL8®) |
|
|
18 |
Theory of Constraints (Joint Session with 15.761) |
|
8 |
19 |
Discrete Event Case Discussion |
|
|
20 |
Experimental Design and Simulation Analysis (PDF) |
|
|
21 |
Advanced Modeling, Simulation-Based Optimization (PDF) |
|
9 |
22 |
Non Linear Programming - Formulations (PDF) |
|
|
23 |
NLP (Non Linear Programming) - Examples and Algorithms (PDF) |
|
10 |
24 |
Project Presentations |
|
|
25 |
Project Presentations |
|
|
26 |
Project Presentations and Class Summary (PDF) |
Exams
The midterm exam was a take-home test based on the case study included in the files below.
Midterm Exam (PDF)
Midterm Exam Solutions (PDF)
Midterm Exam Solution Spreadsheet (XLS)
Projects
Student Work
Examples of group projects, including memorandums, presentations, and spreadsheets, are available in the table below. Each collection of documents is courtesy of the students named, and is used with permission.
|
GROUP # |
TOPICS |
PROJECT FILES |
|
1 |
Labor Planning for a Manufacturing Line - Lane Ballard, Christine Cheung, Justin Ging, Omur Kaya, David Jackson, and Alyson Naughton |
Final Memorandum (PDF) |
|
3 |
Pump System Design: Optimizing Total Cost Over System Life Cycle - Tamara Greenlaw, Christian Caballero, Aaron Raphel, Minja Penttila, and Cliff Smith |
Final Memorandum (PDF) |
|
4 |
Assignment of Instructors for Courses and Sections Within the U.S. Air Force Academy Department of Mathematical Sciences |
|
|
5 |
Fundraising Optimization for the Leukemia & Lymphoma Society's Team In Training |
|
|
6 |
Boston Bound: Optimization of LFM Student Summer Travel to Boston |
|
|
7 |
Student Loan Optimization |
|
|
8 |
Marina Mooring Optimization - Brian Siefering, Amber Mazooji, Kevin McKenney, Paul Mingardi, Vikram Sahney, and Kazunori Maruyama |
Final Memorandum (PDF) |