Department of
Mathematical Sciences
CARNEGIE MELLON UNIVERSITY
OPERATIONS RESEARCH II 21-393
Professor A.M.Frieze,
Wean Hall 6204, x8476,
alan at random dot math dot cmu dot
edu
1. COURSE OBJECTIVES
(i) To develop and extend the students knowledge of mathematical
techniques underlying the application of Operations Research.
(ii) To give experience of working in a group on a project.
2. COURSE TEXT
There is no course text. I will use notes.
3. TOPICS
1. Dynamic Programming
2. Integer
Linear
Programming
3. Game Theory
4. Decision Analysis
5. Inventory Theory
6. Combinatorial
Optimization
7. Auctions
4. THE PROJECT
The class will be partitioned into working groups of three/four
students. These groups should be formed voluntarily. If necessary, I
will make assignments. Each group will work together on a short project
which it will research, write a paper on and make a presentation to the
class near the end of the semester. Examples of previous projects are
obtainable from me. It will be your responsibility to think
of a project. I will vet your ideas for suitability and practicality.
The evaluation of the project will be based on the following factors:
The degree to which the project
demonstrates the group's ability to abstract a problem into
mathematical form and to employ the
appropriate solution techniques.
The degree to which the group
demonstrates professional writing and presentation skills.
Suggested schedule for carrying out project:
Activity
|
Target
Date for Completion |
Form small group 3/4 students
|
August 31. |
| Settle on idea for project |
September 28. |
| Finish research |
November 30
|
| Finish write-up |
December 18. |
5. GRADING SYSTEM
There will be an initial set of homeworks, amounting to approxmately
one quarter the normal load for a one semester course. There will also
be two tests.
| Project |
50% |
| 2 Tests |
20% each |
| Homework |
10% |
There will be no written final. The tests will be open book and notes.
6. CLASS SCHEDULE
Lectures MWF 1.30 - 2.20PM in WEH8220.
Tests: September 30, October 30.
7. OFFICE HOURS
Tue, Fri 11.00 - 12.00AM in WEH6204.
8. HOMEWORK
9. OLD
TESTS
10. SCHEDULE
11 OLD
PROJECTS
Curriculum Goals: The aim of this course is to increase the
student's knowledge of the techniques and applicability of mathematical
ideas in the solution of organisational problems. The project is an
important component in increasaing the student's
confidence in applying these ideas.