week12da - Spring, 2010 Decision Analysis MS 405 AHP Kemal...

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Unformatted text preview: Spring, 2010 Decision Analysis MS 405 AHP Kemal Kılıç Faculty of Engineering and Natural Sciences Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 1 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 2 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 3 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 4 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 5 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 6 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 7 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 8 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 9 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 10 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 11 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 12 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 13 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 14 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 15 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 16 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 17 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 18 Spring, 2010 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 19 Spring, 2010 http://www.wwz.unibas.ch/wi/projects/AHP/AH P.htm Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 20 Spring, 2010 Example: Car Selection • Objective – Selecting a car • Criteria – Style, Reliability, Fuel-economy • Alternatives – Civic Coupe, Saturn Coupe, Ford Escort, Mazda Miata Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 21 Spring, 2010 Hierarchical tree S e le c t in g a N ew C ar S t y le - Civic - Saturn - Escort - Miata Kemal Kılıç, Sabancı Üniversitesi Kemal R e lia b ilit y - Civic - Saturn - Escort - Miata FuelE conom y - Civic - Saturn - Escort - Miata Week 12 22 Spring, 2010 Ranking of criteria • Weights? • AHP – pair-wise comparison matrix aij = ai/aj = weight of row (i) criterion to relative to weight of column (j) criterion aij = [1:Equal, 3:Moderate, 5:Strong, 7:Very strong, 9:Extreme] Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 23 Spring, 2010 Ranking of criteria Pair-wise relative importance Style Reliability Fuel Economy Style 1/1 1/2 3/1 Reliability 2/1 1/1 4/1 Fuel Economy 1/3 1/4 1/1 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 24 Spring, 2010 Ranking of priorities S S R F R 1 0.5 2 1 0.333 0.25 F 3 4 1 Normalized 0.3 0.6 0.1 .29 .57 .14 W(style) = (.3*.29*.38)^(1/3) W(reliability)= (.6*.57*.5)^(1/3) W(fuel) = (.1*.14*.12) ^(1/3) Kemal Kılıç, Sabancı Üniversitesi Kemal .38 .5 .12 =.32 =.56 =.12 Week 12 25 Spring, 2010 • Style • Reliability • Fuel Economy Preference 0.32 0.56 0.12 S e le c t in g a N ew C ar 1 .0 S t y le 0 .3 2 Kemal Kılıç, Sabancı Üniversitesi Kemal R e lia b ilit y 0 .5 6 FuelE conom y 0 .1 2 Week 12 26 Spring, 2010 Ranking alternatives 1. Style Style Civic Civic 1/1 Saturn Escort Miata 4/1 1/4 6/1 Saturn Escort Miata 1/4 4/1 1/1 1/4 4/1 4/1 1/1 5/1 1/4 1/5 1/1 1/6 0.11 0.25 0.06 0.58 1.0 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 27 Spring, 2010 Ranking alternatives 2. Reliability Reliability Civic Civic 1/1 Saturn Escort Miata 1/2 1/5 1/1 Saturn Escort Miata 2/1 5/1 1/1 1/3 1/2 3/1 1/1 4/1 2/1 1/4 1/1 1/1 0.31 0.23 0.06 0.20 1.0 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 28 Spring, 2010 Ranking alternatives 3. Fuel Economy Miles/gallon Normalized Fuel Economy (quantitative information) Civic 34 0.30 Saturn Escort Miata 27 24 28 0.24 0.21 0.25 1.0 113 Kemal Kılıç, Sabancı Üniversitesi Kemal Week 12 29 Spring, 2010 S e le c t in g a N ew C ar 1 .0 S t y le 0 .3 2 - Civic 0.11 - Saturn 0.25 - Escort 0.06 - Miata 0.58 Kemal Kılıç, Sabancı Üniversitesi Kemal R e lia b ilit y 0 .5 6 FuelE conom y 0 .1 2 - Civic 0.31 - Saturn 0.23 - Escort 0.06 - Miata 0.20 - Civic 0.30 - Saturn 0.24 - Escort 0.21 - Miata 0.25 Week 12 30 Spring, 2010 Overall Ranking of alternatives Style Reliability Civic 0.11 Saturn 0.25 Escort 0.06 Miata 0. 58 0.31 Fuel Economy 0.30 0.23 0.06 0.24 0.21 0.20 0.25 Kemal Kılıç, Sabancı Üniversitesi Kemal 0.32 * 0.56 0.12 = 0.24 0.23 0.07 0.33 Week 12 31 ...
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This note was uploaded on 12/19/2011 for the course ECON Econ203 taught by Professor Majdabpadawnan during the Spring '11 term at University of Maribor.

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