Analytic Hierarchy Process
Supplier Selection Problem
# Alternatives 3 # Criteria 3 RI 0.58
Quality Comparison Matrix Nomalized Matrices Priorities Weighted Sum
A B C A B C
A 1 0.5 0.167 A 0.111 0.077 0.122 0.103 0.311 3.009
B 2 1 0.2 B 0.222 0.154 0.146 0.174 0.525 3.017
C 6 5 1 C 0.667 0.769 0.732 0.722 2.213 3.064 CI 0.01502
Sum 9 6.5 1.367 Lambda Max 3.030 CR 0.025896
Price Comparison Matrix Normalized Matrices Priorities Weighted Sum
A B C A B C
A 1 4 5 A 0.690 0.750 0.556 0.665 2.109 3.170
B 0.25 1 3 B 0.172 0.188 0.333 0.231 0.709 3.067
C 0.2 0.333 1 C 0.138 0.062 0.111 0.104 0.314 3.022 CI 0.043
Sum 1.45 5.333 9 Lambda Max 3.087 CR 0.075
Service Comparison Matrix Normalized Matrices Priorities Weighted Sum
A B C A B C
A 1 2 4 A 0.571 0.625 0.400 0.532 1.671 3.141
B 0.5 1 5 B 0.286 0.313 0.500 0.366 1.141 3.117
C 0.25 0.2 1 C 0.143 0.063 0.100 0.102 0.308 3.026 CI 0.047
Sum 1.75 3.2 10 Lambda Max 3.095 CR 0.082
Criteria Comparison Matrix Normalized Matrices Priorities Weighted Sum
Quality Price Service Quality Comparison Matrix Price Service
Quality 1 3 5 Quality Comparison Matrix 0.652 0.692 0.556 0.633 1.945 3.071
Price 0.333 1 3 B 0.217 0.231 0.333 0.260 0.790 3.032
Service 0.2 0.333 1 C 0.130 0.077 0.111 0.106 0.320 3.011 CI 0.019
Sum 1.533 4.333 9 Lambda Max 3.038 CR 0.033
Overall Scores
A 0.295197
B 0.209334
C 0.495469 Supplier C is Best Choice