15.057
Systems Optimization
Spring 2003
Topics
- Introduction
- Network Models: Assignment & Transportation
- Network Models: Shortest Path & Transshipment
- Introduction to LP
- Application: Revenue Optimization
- Production Planning, Workforce Scheduling
- Conflicting Objectives, Robust Optimization
- Integer Programming
- IP Modeling
- Case Study: Ford Finished Vehicle Delivery
- Location Models
- Non-Linear Programming
- Application Portfolio Optimization
- Team Presentations
- Heuristics I
- Heuristics II
- Optimization, Heuristics and Uncertainty
Readings
- [Moore] = Decision Modeling with Microsoft Excel, Sixth Edition , by Moore, Weatherford, Eppen, Gould and Schmidt, Prentice Hall
- [Fourier] = AMPL A Modeling Language For Mathematical Programming , by Fourer, Gay, Kernighan, Boyd & Fraser
- LEC #: 1 · Topics: Introduction · Readings: Chapters 1 & 2 of Moore et al.
- LEC #: 2 · Topics: Network Models: Assignment & Transportation · Readings: Sect. 5.1-5.4 of Moore et al.
- LEC #: 3 · Topics: Network Models: Shortest Path & Transshipment · Readings: Sect. 5.10-14 of Moore et al. Sect. 5.6 of Moore et al.
- Scan Chapters 1-8 and 10 of Fourer et al.
- LEC #: 4 · Topics: Introduction to LP · Readings: Chapter 3 of Moore et al.
- LEC #: 5 · Topics: Application: Revenue Optimization · Readings: Chapter 3 & 5 of Moore et al.
- LEC #: 6 · Topics: Production Planning, Workforce Scheduling. · Readings: Chapter 5 of Moore et al.
- LEC #: 8 · Topics: Integer Programming · Readings: Chapter 6 of Moore et al.
- Chapter 20 of Fourer et al.
- LEC #: 9 · Topics: IP Modeling · Readings: Chapter 6 of Moore et al.
- LEC #: 12 · Topics: Non-Linear Programming · Readings: Chapter 7 of Moore et al.
- Chapter 18 of Fourer et al.
- LEC #: 13 · Topics: Application Portfolio Optimization · Readings: Chapter 7 of Moore et al.
- LEC #: 14 · Topics: Non-Linear Programming · Readings: Chapter 7 of Moore et al.
- The texts Decision Modeling with Microsoft Excel, Sixth Edition by Moore, Weatherford, Eppen, Gould and Schmidt, Prentice Hall and AMPL A Modeling Language For Mathematical Programming by Fourer, Gay, Kernighan, Boyd & Fraser, are useful references both for the course material and the modeling tools we will rely on. We will provide additional material as the course progresses.
Sources
- Course catalogue ↗Historical OpenCourseWare
- MIT OCW readings ↗
- MIT OCW syllabus ↗
- MIT OCW calendar ↗
- Historical MIT OpenCourseWare offering. Named reading entries and schedule topics are automatically extracted from the linked source pages.