|
| | International Federation of Operational Research Societies
– XVIth Triennial Conference
– Edinburgh, Scotland, July 8 – 12,
2002
Preliminary Conference Schedule
(Max,+)-Approach to Dynamic Event Systems
Session #1 - MB15
Semi-Plenary Address
The (Max,+) Algebra: A new Approach to Performance Evaluation of DES
Speaker
Bernd Heidergott
Technische Universiteit Delft, Netherlands
Heidergott@eurandom.tue.nl
Abstract
This tutorial provides an introduction to the (max,+) algebra with a
view towards performance analysis and control of DES. First, we introduce the
basic concepts of the (max,+) algebra. In a second part, performance analysis
and control of deterministic DESs is addressed. Our main example will be public
transportation networks. We will discuss the application of eigenvalues and
eigenvectors in (max,+) algebra to timetable design and robustness analysis of
timetables and present a simple scheme for calculating propagation of delays.
Eventually, we discuss applications of (max,+) algebra to ergodic theory and
stability analysis of stochastic DES.
Session #2 - MC5
Tutorial: Measurement and Decisions -
Theory, Tools, and Applications
Presenter
Jonathan Barzilai, Dalhousie University,
Jonathan.Barzilai@dal.ca
Abstract
Measurement plays a central role in science. We will discuss problems
with classical mathematical models of measurement and present a new, simple and
powerful measurement theory. The new theory has far-reaching theoretical and
practical implications. For example, we will report on a recent case where the
validity of a scoring methodology used to evaluate proposals in a large defense
project has been the subject of litigation. Based on this theory, we have
developed a new, intuitive, flexible, easy-to-use but powerful decision
methodology - Preference Function Modeling (PFM). A software package
implementing PFM will be demonstrated.
- Author / Speaker
Jonathan Barzilai
- Affiliation
Dept. of Industrial Engineering, Dalhousie University
Address
740 Saint-Maurice, Suite 410, Montreal, Quebec H3C 1L5, Canada,
 +1 (514) 954-3665,
 +1 (514) 954-9739,
Jonathan.Barzilai@dal.ca
 www.ScientificDecisions.com
Session #2 - FC6
Preference Measurement - Utility, AHP and PFM
Chairperson
Cathal M. Brugha, University College Dublin
cathal.brugha@ucd.ie
PFM - A Powerful Measurement, Decision and Selection Methodology
Abstract
Preference Function Modeling (PFM) is a new methodology. It is founded on
rigorous mathematical foundations and is powerful, easy to use, and more
flexible than the AHP. We will review the theory, tools, and the practical
application of this methodology.
- Author / Speaker
Jonathan Barzilai
- Affiliation
Dept. of Industrial Engineering, Dalhousie University
Address
740 Saint-Maurice, Suite 410, Montreal, Quebec H3C 1L5, Canada,
+1 (514) 954-3665,
+1 (514) 954-9739,
Jonathan.Barzilai@dal.ca
www.ScientificDecisions.com
Classification of Measurement Models - Implications for Utility Theory
Abstract
We classify all measurement models as weak, proper, or strong. This
classification has major implications for measurement of subjective variables
and, in particular, utility. We will establish connections to one-dimensional
measurement, coordinate functions, pair wise comparisons, etc. We will highlight
some of the consequences of these results for utility theory.
- Author / Speaker
Jonathan Barzilai
- Affiliation
Dept. of Industrial Engineering, Dalhousie University
Address
740 Saint-Maurice, Suite 410, Montreal, Quebec H3C 1L5, Canada,
+1 (514) 954-3665,
+1 (514) 954-9739,
Jonathan.Barzilai@dal.ca
www.ScientificDecisions.com
The AHP is Not a Valid Methodology
Abstract
The AHP is a variant of Miller's Hierarchical Process. It violates the
fundamental principles of the theory of measurement and is not a valid
methodology. Earlier analysis of the AHP by Belton & Gear mis-identified the
problems and proposed a correction that does not address the underlying errors.
Dyer's analysis too is limited to the symptoms of these errors. We will review
errors related to scale type; measurement units; the "relative importance"
interpretation; hierarchical decomposition; normalization; eigenvector, etc.
- Author / Speaker
Jonathan Barzilai
- Affiliation
Dept. of Industrial Engineering, Dalhousie University
Address
740 Saint-Maurice, Suite 410, Montreal, Quebec H3C 1L5, Canada,
+1 (514) 954-3665,
+1 (514) 954-9739,
Jonathan.Barzilai@dal.ca
www.ScientificDecisions.com
|
