Decision Problem Chapter Progress

10:30 - 16-06-10 31
10:30 - 17-06-10 33
12:21 - 20-06-10 33
10:29 - 21-06-10 34

Nested beliefs, sharing private information

Read aumann.

http://motion.comp.nus.edu.sg/software/appl/appl.html

solve POMDP again with this fixed point algorithm.

decision theory from the economy point of view

http://afinetheorem.wordpress.com/category/decision-theory/

read!

articles to find in the library

1 - Explicit formulas for the variance of conditioned sojourn times in M/D/1-PS

Operations Research Letters
Volume 35, Issue 4, July 2007, Pages 463-466

2 - Processor sharing: A survey of the mathematical theory

Automation and Remote Control
Volume 68 , Issue 9 (September 2007)

proof idea markovian property of aggregated states

show that the transition between states correspond to transitions in the original bcmp. if aggregated were non-markovian, so would be the bcmp. this is a contradiction. so aggregate states are markovian. qed.

Plan for 2010

January

1. Multi-class extension
2. Formulation & Solution of the optimization problem
3. Formulation of Strategical Analysis
4. Formulation Manipulation Analysis
5. Find the right decision tool

February

1. Braess Paradox
2. Solution Strategic Analysis
3. Solution Manipulation Analysis
4. Mapping PS to technologies
5. Include Sebastian's Work

March

1. Include theoretical sections.
   
2. Wrap-Up Simulation
3. Wrap-Up State of the art
4. 1. Draft Ready

April

1. Include comments

May

1. Publish and wait.