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Step 5: Synthesize local priorities in order to obtain global priorities and the overall outcome

Goal

 

w1

 

 

 

w2

 

w3

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

w12

 

w12

 

w311

 

w31

 

w31

 

 

 

 

 

 

 

 

 

1

2

 

 

2

3

Global priority of any object in a hierarchy (e.g., decision maker, criterion, alternative or ADO) is its local priority multiplied by the global priority of ist parent element. E.g.,

w12global = w1 w12local

w121global = w12global w121local

goal

w11

w12

w13

w14

w31

w32

If an element has several parents, ist global priority on each path and sum them:

w121global = w1 w11 w12111 + w1 w12 w12112 , where

w12111 - weight of object w121 with respect to quality w11 w12112 - weight of object w121 with respect to quality w12

Car selection

GOAL

CRITERIA

 

 

 

 

 

 

 

Fuel Consumption

 

 

 

 

 

 

 

 

 

0.23

ALTERNATIVES

 

 

 

 

 

 

 

 

Car A:

0.20

0.07

0.75

0.71

0.08

Car B:

0.25

0.24

0.18

0.21

0.26

Car C:

0.55

0.69

0.07

0.08

0.66

synthesized priorities

 

 

C is the best family car

 

 

Exercise: Outsourcing Partner Selection

 

Vendor A

Vendor B

Vendor C

 

 

 

 

Supplier's

130

150

110

suggested price,

 

 

 

euro

 

 

 

Distance, km

12,000

3,500

10,000

 

 

 

 

Organizational

good

excellent

satisfactory

behavior

 

 

 

Adaption with

complete

partial

complete

the purchasers

 

 

 

procedures

 

 

 

Based on the information above, which vendor is the most preferred (using the AHP)?

Step 5: Synthesize global priorities…

Valida3on Exercise: Rela3ve sizes of areas

Relative sizes of areas (cont’d)

0.05

0.47

0.10

0.15

0.24

Thank you very much!

IT in Business: Decision Analysis| © Sodenkamp

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