Deck 16: Analytic Hierarchy Process

Question 1

If you can determine with confidence and accuracy the factor weights and factor evaluations,AHP is preferred.

Answer 1

False

Question 2

Table M1-1
Jason Rule has developed the following table to represent his research into the decision as to which college he would like to attend after graduation:
Based on his weights and ratings of colleges,which college should he attend?

A)MSU
B)UM
C)UNH
D)PC
E)None of the above

Answer 2

A

Question 3

The consistency ratio (CR)is an indicator of the equality of factors.

Answer 3

False

Question 4

In the multifactor evaluation process,we always select the alternative that has the highest total weighted evaluation.

Question 5

Mary states that the two factors critical to her having a successful vacation are golf course availability and good weather.If Mary insists that golf course availability is three times as important as the weather,what importance weights should be placed on golf course availability and good weather to be used for a multifactor evaluation process?

A)Golf Weight Weather Weight 0.80 0.20
B)Golf Weight Weather Weight 0.20 0.80
C)Golf Weight Weather Weight 0.75 0.25
D)Golf Weight Weather Weight 0.25 0.75
E)None of the above

Question 6

Table M1-1
Jason Rule has developed the following table to represent his research into the decision as to which college he would like to attend after graduation:
Based on Table M1-1,what should be Jason's second choice?

A)MSU
B)BC
C)PC
D)UM
E)None of the above

Question 7

In MFEP,the factor weights are summed and then multiplied by the total factor evaluation.

Question 8

Given three alternatives and their total weighted evaluation,which action should be selected?

A)Alternative A
B)Alternative B
C)Alternative C
D)Alternative A or Alternative C
E)None of the above

Question 9

CI = (λ - n )/ ( n - 1 )

Question 10

Given the following key factors and their importance weights,determine a total weighted evaluation for A3.

A)0.69
B)0.74
C)0.59
D)0.50
E)None of the above

Question 11

Table M1-1 portrays Jason's initial evaluation of the colleges of interest.Jason has now decided that he should emphasize Yearly Cost somewhat less,and Social Life somewhat more.His new ratings are: Yearly Cost: 0.30,and Social Life: 0.20.What will be his order of preference with these new weights?

A)UM,MSU,BC,PC,UNH
B)MSU,PC,UNH,BC,UM
C)MSU,UNH,UM,BC,PC
D)UNH,BC,UM,MSU,PC
E)None of the above

Question 12

AHP gives the factor weights and factor evaluations from which the final decision can be made.

Question 13

A decision-making technique in which individuals subjectively and intuitively consider the various factors in making their selection is known as

A)multifactor decision making.
B)the multifactor evaluation process.
C)the analytic hierarchy process.
D)pairwise comparison analysis.
E)consistency ratio analysis.

Question 14

λ is the average of the consistency ratios.

Question 15

Table M1-1 portrays Jason's initial evaluation of the colleges of interest.Jason has now decided that (a)Social Life is more important than he first implied,and (b)that the student body at MSU is so large that he may feel lost-just a small fish in a big,big pond.He decides to change the weight for Social Life to 0.2,and change his rating of the Social Life at MSU to 0.4.He will compensate for the increase in the weight of Social Life by reducing the weight of Yearly Cost.Given these changes,what will be his second choice college?

A)MSU
B)PC
C)UM
D)UNH
E)None of the above

Question 16

When using the multifactor evaluation process,it is helpful if the importance weights for factors sum to 1.0.

Question 17

An equivalent name for the Multifactor Evaluation Process (MFEP)is the Analytic Hierarchy Process (AHP).

Question 18

A pairwise comparison rating of 9 means that the two alternatives are

A)equally preferred.
B)moderately preferred.
C)strongly preferred.
D)very strongly preferred.
E)extremely preferred.

Question 19

In multifactor decision making,individuals quantitatively and objectively consider the various factors in making their decisions.

Question 20

Decision situations where we have difficulty in accurately determining various weighting factors are excellent candidates for the Analytic Hierarchy Process analysis.

Question 21

Jason Rule is considering attending one of five different schools.Shown below are the priorities and the original pairwise comparison matrix. Priorities Table: Pairwise Comparison Table: The consistency vector is:

A)
B)
C)
D)
E)None of the above

Question 22

From an Analytic Hierarchy Process analysis,λ is computed to be 4.840,n = 3,RI = 0.58.Compute the consistency ratio.

A)0.92
B)1.5862
C)1.092
D)8.3448
E)None of the above

Question 23

From an Analytic Hierarchy Process analysis,λ is computed to be 4.123,n = 4,RI = 0.9.Compute the consistency index.

A)4.5811
B)1.0308
C)0.0456
D)0.0410
E)None of the above

Question 24

Shown below is a consistency vector from an Analytic Hierarchy Process analysis. 2.6895
2.5555
2.7985
2.6105
Compute λ.

A)Not enough information is given to compute λ
B)2.7985
C)2.6000
D)10.6540
E)2.6635

Question 25

Table M1-3
The normalized matrix for Table M1-3 is:

A)
B)
C)
D)
E)None of the above

Question 26

Table M1-4
Given the normalized Table M1-4,the priorities of the colleges are:

A)
B)
C)
D)
E)None of the above

Question 27

Determine the weighted sum vector for the indicated factor evaluation and its original pairwise comparison matrix.

A)0.4467 0.6057
2.2669
B)1.9333 0.4944
0.3829
C)0.3779 0.0917
0.0912
D)2.5069 4.2082
0.7393
E)None of the above

Question 28

A pairwise comparison rating of 7 means that,relative to alternative 2,alternative 1 is

A)equally preferred.
B)moderately preferred.
C)strongly preferred.
D)very strongly preferred.
E)extremely preferred.

Question 29

From an Analytic Hierarchy Process analysis,λ is computed to be 4.840,n = 3,RI = 0.58.Compute the consistency index.

A)0.92
B)1.5862
C)1.092
D)8.3448
E)None of the above

Question 30

Which of the following matrices is not a correct pairwise comparison matrix?

A)A
B)B
C)C
D)D
E)All are correct pairwise comparison matrices

Question 31

Shown below is a pairwise comparison matrix for coffee makers.What are the priorities for the three coffee maker brands?

A)0.7547 0.1509
0.0943
B)0.5000 0.4375
0.0625
C)2.0094 0.7393
0.2511
D)0.6895 0.2504
0.06
E)None of the above

Question 32

In the Analytic Hierarchy Process,λ is

A)the number of items or systems under consideration.
B)equivalent to the CI.
C)equivalent to the CR.
D)equivalent to the RI.
E)None of the above

Question 33

Shown below is a pairwise comparison matrix for coffee makers.What are the values of column one's normalized matrix?

A)1.0000 0.2000
0.1250
B)0.7547 0.1509
0.0943
C)1.3250 6.6250
10.600
D)5.1982 3.8764
4.9721
E)None of the above

Question 34

Higher values of the CR indicate

A)the greater the level of consistency of the pairwise comparisons.
B)an indication of low consistency of the pairwise comparisons.
C)a moderate consistency of the pairwise comparisons.
D)None of the above

Question 35

The consistency index is

A)the average value of the consistency vector.
B)CR/CI.
C)RI/CR.
D)(λ - n )/ ( n - 1 ).
E)None of the above

Question 36

Given the following consistency vector - 7.369716
8.524687
7.446627
5.208015
5.459544
Calculate the consistency index.

A)0.8502
B)-0.0207
C)0.4504
D)-0.7399
E)None of the above

Question 37

Shown below is an incomplete pairwise comparison matrix for three alternatives.What comparison factor should A3 receive when compared to A2?

A)3
B)1/3
C)7
D)1/7
E)None of the above

Question 38

Table M1-2
Table M1-2 displays the result of the pairwise comparisons of the various schools in which Jason has an interest.The completed table is:

A)
B)
C)
D)
E)None of the above

Question 39

Determine the weighted sum vector for the indicated factor evaluation and its original pairwise comparison matrix.

A)0.7741 1.5717
5.0235
B)5.0235 1.5717
0.7741
C)1.9233 0.7967
0.3312
D)0.3312 0.7966
1.9233
E)None of the above

Question 40

The consistency ratio is

A)the average value of the consistency vector.
B)CR/CI.
C)RI/CI.
D)(λ - n )/ ( n - 1 ).
E)None of the above

Question 41

In a four-factor analysis used in a multifactor evaluation process,it is desired to have the F₁ importance weight four times as much as the F₂ importance weight.The F₂ importance weight should be four times as much as the F₃ importance weight.The F₃ importance weight should be four times as much as the F₄ importance weight.Determine the appropriate importance weights of F₁,F₂,F₃,F₄ to be used in the multifactor evaluation process.(Hint: Consider numerator factors of 4. )

Question 42

Upon completion of an Analytic Hierarchy Process analysis,the CR = 0.047,thus

A)the decision makers' answers are relatively consistent.
B)the decision makers' should consider reevaluating their pairwise comparisons.
C)no conclusion is available for this value of the CR.
D)the decision maker has made near perfectly consistent pairwise comparisons.
E)None of the above

Question 43

Given the following initial pairwise comparison matrix,determine the consistency ratio.
Factor A B C
Item A 1 6 9
Item B 0.1667 1 3
Item C 0.1111 0.3333 1

Question 44

The Analytic Hierarchy Process is preferred to a multifactor evaluation process when

A)there is high confidence in determining factor weights without pairwise comparisons.
B)there is low confidence in determining factor weights without pairwise comparisons.
C)one desires a lesser level of computational analysis.
D)None of the above

Question 45

Describe a multifactor evaluation process.

Question 46

From an Analytic Hierarchy Process analysis,λ is computed to be 4.123,n = 4,RI = 0.9.Compute the consistency ratio.

A)4.5811
B)1.0308
C)0.0456
D)0.0410
E)None of the above

Question 47

Given the following initial pairwise comparison matrix,determine the consistency ratio.

Question 48

Interpret the consistency ratio.

Question 49

Given a consistency index of 0.2070,and an n of 5,use the following table to calculate the consistency ratio.

A)0.0414
B)0.1848
C)2.8019
D)0.2300
E)None of the above

Question 50

Upon completion of an Analytic Hierarchy Process analysis,the CR = 0.23,thus

A)the decision makers' answers are relatively consistent.
B)the decision makers' should consider reevaluating their pairwise comparisons.
C)no conclusion is available for this value of the CR.
D)the decision maker has made near perfectly consistent pairwise comparisons.
E)None of the above

Question 51

How is the consistency index computed?

Question 52

Construct an initial pairwise comparison matrix with the following information regarding an Ease of Use factor about three different commercial student information systems.System C,when compared to System A,is strongly preferred.When System C is compared to System B,System C is only moderately preferred.When compared to System A,System B is strongly preferred.

Question 53

Two factors are considered essential to the selection of blue cheese for the Burgerhoff Restaurant color and texture.The Burgerhoff insists that color is four times as important as is texture for food presentation purposes.The Burgerhoff is considering two brands of blue cheese.After tasting the two brands,color and texture ratings have been assigned as indicated.Use a multifactor evaluation process to determine which brand of cheese best suits the needs of the Burgerhoff.