Multi-Criteria Decision Analysis in Action

Cours d’aide à la décision
multicritère
Page web
http://homepages.ulb.ac.be/~bmaresc/ensta.html
Travail de groupe (2 à 3 étudiants)
Pour le 10/11/2014, préciser par mail à
bmaresc@ulb.ac.be
La composition du groupe
L’entreprise retenue
Le cadre du problème à traiter (actions, critères)
Le 12/11/2014, courte présentation (5 min.)
et discussion.
ENSTA - 2014
1
Tableau multicritère
Au moins 6 actions
Au moins 5 critères
Critères
Quantitatifs
Qualitatifs
Problématique
Sélection d’une action
Sélection multiple sous contraintes
Evaluation
Différents points de vue, scénarios
ENSTA - 2014
2
Visual PROMETHEE
 
WWW.PROMETHEE-GAIA.NET
3-level simple hierarchical criteria
structure.
New visual tools:
PROMETHEE rankings and Diamond,
Visual Weight Stability Intervals,
Decision-maker’s Brain (PROMETHEE VI),
GAIA-3D,
GAIA-Webs and PROMap GIS integration,
Performance (input-output) analysis, …
ENSTA - 2014
3
MCDA vs Optimisation
ENSTA - 2014
4
 
Social
 
Environment
 
Economic
 
Equitable
 
Sustainable
 
Bearable
 
Viable
Optimisation
MCDA
Single criterion:
Profit
Profit, Social,
Environment, …
Short-sightedness
Crisis
Sustainable
Decisions
ENSTA - 2014
5
Some Decision
or Evaluation Problems
 
Locating a new plant, a new shop, ...
Human resources management.
Purchasing equipment.
Assessing the quality of suppliers.
Evaluating projects.
Selecting an investment strategy.
ENSTA - 2014
6
Some applications at ULB
Financial evaluation of companies
Quality assessment of suppliers
Electricity production planning at Electrabel
Regional planning
Evaluation of urban waste management systems
Environmental applications
Health care:
Evaluation
Therapeutical choice
Hospital management
...
ENSTA - 2014
7
PROMETHEE
Rank
decisions
from the best
to the worst
ones.
Identify best
compromise
solutions.
ENSTA - 2014
8
PROMETHEE I & II
 
PROMETHEE I : partial ranking –
 
PROMETHEE II : complete ranking –
ENSTA - 2014
PROMETHEE Diamond
9
PROMETHEE Rainbow
ENSTA - 2014
10
Sensitivity Analysis with
PROMETHEE
Criteria weights 
 PROMETHEE ranking.
Interactive weight sensitivity analysis:
« Walking Weights ».
Robustness with respect to weight values?
Weight stability intervals.
Visual weight stability intervals.
ENSTA - 2014
11
Walking Weights
ENSTA - 2014
12
Visual Stability Intervals
ENSTA - 2014
13
 
VSI for « Precio » (level 6):
[ 19.20% , 23.70% ]
 
VSI for « Precio » (level 1): [ 0.00% , 50.68% ]
 
VSI for « Potencia » (level 1): [ 0.00% , 48.65% ]
ENSTA - 2014
14
GAIA
Discover
conflicts
among
criteria.
Identify
potential
compromises.
Help to fix
priorities.
GAIA
ENSTA - 2014
15
 
 Actions:
   points
 Criteria:
   axes
 = 90%
ENSTA - 2014
16
GAIA
 = 90%
ENSTA - 2014
17
GAIA
 = 90%
GAIA
ENSTA - 2014
18
 
 Actions:
   points
 Criteria:
   axes
 Decision
   axis
 = 90%
GAIA-Brain
ENSTA - 2014
19
 
20 years old
 
35 years old
ENSTA - 2014
20
GAIA
 Actions:
   points
 Criteria:
   axes
 Decision axis
 = 90%
 
!
!
 
o
n
l
y
 
 
%
 
i
n
f
o
r
m
a
t
i
o
n
 
!
!
GAIA Webs
ENSTA - 2014
21
 
Action profile – Turismo B
 
GAIA Web – Turismo B
 
Turismo A
 
Turismo B
 
Deportes
 
Economico
 
Lujo 1
 
Lujo 2
ENSTA - 2014
22
Multi-scenarios model
 
Scenarios:
Points of view,
Hypotheses, …
Evaluations:
‘Objective’ criteria: common evaluations.
‘Subjective’ criteria: specific evaluations
for each scenario.
Specific preference structures :
Weights, preference thresholds.
ENSTA - 2014
23
Multi-scenarios model
 
Adaptation of PROMETHEE:
Individual rankings.
Global (group) rankings taking into
account a possible weighing of the
scenarios.
Adaptation of GAIA:
Three distinct analyses.
ENSTA - 2014
24
PROMap
Google Maps 
integration:
ENSTA - 2014
25
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Dive into a comprehensive exploration of Multi-Criteria Decision Analysis, examining its application in various scenarios like evaluating projects, selecting investment strategies, and managing human resources. Discover visual tools, decision-making frameworks, and real-world applications discussed in the ENSTA 2014 sessions.

  • Decision Analysis
  • Multi-Criteria
  • Evaluation
  • Decision Making
  • Management

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  1. Cours daide la dcision multicrit re Page web http://homepages.ulb.ac.be/~bmaresc/ensta.html Travail de groupe (2 3 tudiants) Pour le 10/11/2014, pr ciser par mail bmaresc@ulb.ac.be La composition du groupe L entreprise retenue Le cadre du probl me traiter (actions, crit res) Le 12/11/2014, courte pr sentation (5 min.) et discussion. ENSTA - 2014 1

  2. Tableau multicritre Au moins 6 actions Au moins 5 crit res Crit res Quantitatifs Qualitatifs Probl matique S lection d une action S lection multiple sous contraintes Evaluation Diff rents points de vue, sc narios ENSTA - 2014 2

  3. Visual PROMETHEE WWW.PROMETHEE-GAIA.NET 3-level simple hierarchical criteria structure. New visual tools: PROMETHEE rankings and Diamond, Visual Weight Stability Intervals, Decision-maker s Brain (PROMETHEE VI), GAIA-3D, GAIA-Webs and PROMap GIS integration, Performance (input-output) analysis, ENSTA - 2014 3

  4. MCDA vs Optimisation Optimisation MCDA Economic Single criterion: Profit Profit, Social, Environment, Equitable Viable Sustainable Social Environment Bearable Short-sightedness Sustainable Decisions Crisis ENSTA - 2014 4

  5. Some Decision or Evaluation Problems Locating a new plant, a new shop, ... Human resources management. Purchasing equipment. Assessing the quality of suppliers. Evaluating projects. Selecting an investment strategy. ENSTA - 2014 5

  6. Some applications at ULB Financial evaluation of companies Quality assessment of suppliers Electricity production planning at Electrabel Regional planning Evaluation of urban waste management systems Environmental applications Health care: Evaluation Therapeutical choice Hospital management ... Financial evaluation of companies Quality assessment of suppliers Electricity production planning at Electrabel Regional planning Evaluation of urban waste management systems Environmental applications Evaluation Hospital management ENSTA - 2014 6

  7. PROMETHEE Rank decisions from the best to the worst ones. Identify best compromise solutions. ENSTA - 2014 7

  8. PROMETHEE I & II + , PROMETHEE I : partial ranking PROMETHEE II : complete ranking ENSTA - 2014 8

  9. PROMETHEE Diamond ENSTA - 2014 9

  10. PROMETHEE Rainbow ENSTA - 2014 10

  11. Sensitivity Analysis with PROMETHEE Criteria weights PROMETHEE ranking. Interactive weight sensitivity analysis: Walking Weights . Robustness with respect to weight values? Weight stability intervals. Visual weight stability intervals. ENSTA - 2014 11

  12. Walking Weights ENSTA - 2014 12

  13. Visual Stability Intervals VSI for Precio (level 1): [ 0.00% , 50.68% ] VSI for Precio (level 6): [ 19.20% , 23.70% ] VSI for Potencia (level 1): [ 0.00% , 48.65% ] ENSTA - 2014 13

  14. GAIA Discover conflicts among criteria. Identify potential compromises. Help to fix priorities. ENSTA - 2014 14

  15. GAIA Actions: points Criteria: axes = 90% ENSTA - 2014 15

  16. GAIA Precio Economico: 15 k Turismo: 25,5-26 k Deportivo: 29 k Lujo: 35-38 k = 90% ENSTA - 2014 16

  17. GAIA Potencia Deportivo: 110 kW Lujo: 85-90 kW Turismo: 75-85 kW Economico: 50 kW = 90% ENSTA - 2014 17

  18. GAIA Actions: points Turismo B : 0,26 PROMETHEE II ! Criteria: axes Turismo A : 0,02 Lujo 1 : 0,06 Decision axis Economico : -0,15 Lujo 2 : 0,00 Deportivo : -0,17 = 90% ENSTA - 2014 18

  19. GAIA-Brain 20 years old 35 years old ENSTA - 2014 19

  20. GAIA Actions: points Criteria: axes Decision axis !! only % information !! = 90% ENSTA - 2014 20

  21. GAIA Webs Lujo 1 Lujo 2 GAIA Web Turismo B Turismo A Turismo B Action profile Turismo B Deportes Economico ENSTA - 2014 21

  22. Multi-scenarios model Scenarios: Points of view, Hypotheses, Evaluations: Objective criteria: common evaluations. Subjective criteria: specific evaluations for each scenario. Specific preference structures : Weights, preference thresholds. ENSTA - 2014 22

  23. Multi-scenarios model Adaptation of PROMETHEE: Individual rankings. Global (group) rankings taking into account a possible weighing of the scenarios. Adaptation of GAIA: Three distinct analyses. ENSTA - 2014 23

  24. ENSTA - 2014 24

  25. PROMap Google Maps integration: ENSTA - 2014 25

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