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Multi Criteria Decision Making

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Presentation on theme: "Multi Criteria Decision Making"— Presentation transcript:

1 Multi Criteria Decision Making
Goal Programming MAUT, Multi Attribute Utility Theory, Keeney & Raiffa 1976 Europe: Electra (Roy et al.) USA : AHP (Saaty)

2 Examples of many criteria
Location Planning Equipment Selection Supplier Selection Evaluation of applicants Ranking Projects Environmental Evaluation

3 Environmental Evaluation Criteria
History Animals Vegetation Water System Landscape Recreation

4 Analytic Hierarchy Process
Thomas Saaty 1975 Expert Choice Software See >1500 published references on AHP Case Studies: Location Selecting suppliers Job candidates evaluation

5 AHP, pros & cons Pros: Cons: Doable Pairwise Comparison
Consistency Index Cons: The AHP Scale (1-9) Many alternatives

6 AHP methodology 1. Criteria are compared by importance => weights
2. Alternatives are scored against each criteria 3. Final index for each alternative is calculated from weights and scores

7 The AHP Scale 1 Equal importance 3 Moderately more important
5 Strongly more important 7 Very strongly more important 9 Extremely more important

8 Pairwise Comparison Wi = Weight of criteria i W2/W1 W2/W2 W2/Wn A =
Wn/W1 Wn/W2 Wn/Wn

9 Consistency Check 1. Compute A*w’ 2. M = (1/n)*i(A*w’)i/w’i
3. CI = (M – n)/(n – 1) 4. CI/RI > 0,1 => Inconsistency where n = => RI = ,58 0,90 1,12 1,24 1,32 1,41

10 Pareto Efficient Frontier
NPV of Profit Alt 2 Alt 5 Alt 3 Alt 4 Alt 1 Environment Impact Index

11 AHP Example: Locating an Aluminium Smelter in Iceland
Criteria: Labour, community and service Harbour, roads and infrastructure Power, closeness to a power plant Alternatives: Keilisnes Eyjafjörður Reyðarfjörður See Excel-document

12 Master Plan for Hydro and Geothermal Energy
Based on the best available scientific information Open for democratic public involvement Large number of proposed power projects were evaluated Ministry of Industry, in co-operation with the Ministry of the Environment

13 Steering Committee supported by about 50 experts
Working Group I will evaluate what impact proposed power projects will have on Nature, landscape, geological formations, vegetative cover, flora and fauna, as well as cultural heritage and ancient monuments. Working Group II will evaluate the impact on outdoor life, agriculture, revegitation, fishing in rivers and lakes, and hunting. Working Group III will evaluate the impact proposed power projects can have on economic activity, employment and regional development. Working Group IV will identify potential power projects, both hydro and geothermal, and carry out technical as well as economic evaluation of the projects.

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