SYST 573 / OR 681 :  Decision and Risk Analysis

Spring 2005

 

Tuesday, 7:20 - 10:00, Innovation Hall Room 137

Instructor:  Prof. Mark Youngren, myoungre@gmu.edu

Instructor’s Web Page: http://mason.gmu.edu/~myoungre/

Office Hours: Via e-mail and by appointment

Texts and Reading Materials:

(1)  Clemen and Reilly, Making Hard Decisions, 2nd ed., 2001. In bookstore.

(2)  Decision Tools software provided with book (requires Excel)

(3)  Class notes. I will generally post a set of PowerPoint slides on the web site when I use the slides in the lecture. I try to post them before class, but sometimes I revise them at the last minute, in which case they will be posted after class.

(4)  Class handouts. Posted to web page before class.

(5)  Homework and homework solutions: Posted to web page

Class Web Page: http://classweb.gmu.edu/myoungre/SYST573

 

This course is a study of analytic techniques for rational decision making that addresses uncertainty, conflicting objectives, and risk attitudes.  This course covers modeling uncertainty; rational decision making principles; decisionmaking under uncertainty without use of probability; representing decision problems with utility functions, decision trees, and influence diagrams; solving multi-attribute utility functions, decision trees and influence diagrams; defining and calculating the value of data and information; incorporating risk attitudes into the analysis; and conducting sensitivity analyses.

 

Course Objectives: Students will learn the concepts associated with rational decision making and will learn how to structure and solve simple decision problems associated with conducting systems engineering trade-offs and managing systems engineering projects.

 

Assignments and Grading: 

·        Readings: Readings will be assigned weekly; students are expected to complete readings before class.

·        Homework: Homework will be assigned but not graded. Solutions will be posted and discussed during the next class period after assignment. Although not graded, students are highly encouraged to complete the homework, as the exam questions will be similar to the homework assigned.

·        Grading: There will be a midterm, a final exam, and a project. The midterm, final exams and the project will constitute 35%, 45% and 20% of the grade respectively.

 

Project: The project can be done individually or as part of 3 – 4 person group. The project should address a real life decision with either a personal or business focus. It will work best if a friend or colleague is facing the decision, but usually students pick a decision of their own. Occasionally students select a decision that was made in the past and perform a retrospective analysis; this approach is difficult because there is a lot of research that must be done to capture the situation realistically. Students shall submit a statement about whether they are going to do an individual or group project by the end of third class period. An abstract of the decision that is the focus of the project shall be submitted by the end of the sixth class period. The abstract should contain a summary of the decision and lists of tentative objectives and alternatives.

 

Project Requirements for Decision/Risk Analysis

 

1. Provide a summary of the decision problem (who is the decision-maker, what is the decision time frame).

2. Define the objectives hierarchy and utility functions (what are the objectives and why are they objectives, what is the utility function for each bottom level objective and what were the assessment queries used to define these functions, what are the weights for the objectives

hierarchy and what were the assessment queries used to define these weights).

3. Define the alternatives.

4. Define any uncertainties included in the analysis (define the variables, the uncertain states, the conditioning variables, and the probability distributions).

5. Summarize the results of the analysis. Use decision trees and influence diagrams (if appropriate).

6. Describe the analysis computations.

7. Provide sensitivity analyses for parameters that might change the recommended decision.

8. More detail will be provided by the sixth period.

 

TOPICS *

Overview & Discussion of Values, Measures, and Decisions

Simple Decisionmaking Using Non-Stochastic and Stochastic Criteria

Decision Structure: Influence Diagrams and Decision Trees

Making Decisions: Solving Influence Diagrams and Decision Trees

Sensitivity Analysis

Modeling Uncertainty: Probability Applied to Decision Analysis and Risk Management

Risk Attitudes and Utility

Multi-Attribute Utility Functions

Advanced Topics in Decision Analysis (if time permits – not graded)

Review

Final Exam

 

* Note: A topic may last more or less than one lecture period each depending on the topic complexity and class discussion

 

Schedule:    Class every Tuesday, 7:20 – 10:00 PM from Jan 24, 2005 to May 3, 2005

                  Spring recess (no class) March 15th

                  Projects due May 3rd by 10:00 PM (via email); Final Exam distributed (take-home)

                  Final Exam due May 10th by 10:00 PM (via email)