Deck 16: Analytic Hierarchy Process

Question 1

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

Answer 1

False

Question 2

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

Answer 2

False

Question 3

In AHP, the factor weights and evaluations are computed from a number of pairwise comparison matrices.

Answer 3

True

Question 4

λ is the average of the consistency ratios.

Question 5

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

Question 6

CI = (λ - n )/ ( n - 1 )

Question 7

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

Question 8

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.

Question 9

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

Question 10

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

Question 11

The AHP is typically preferred over the MFEP since it requires fewer calculations.

Question 12

In AHP, if the consistency ratio demonstrates that the original pairwise comparisons are inconsistent, then the AHP evaluation should be abandoned in favor of the MFEP.

Question 13

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

Question 14

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

Question 15

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

Question 16

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

Question 17

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

Question 18

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)UNH

Question 19

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

Question 20

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

Question 21

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

Question 22

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

Question 23

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)an absence of consistency between the pairwise comparisons.

Question 24

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

Question 25

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

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

Question 26

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

A)A
B)B
C)C
D)D

Question 27

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)

Question 28

The consistency ratio is

A)the average value of the consistency vector.
B)CR/CI.
C)CI/RI.
D)(λ - n )/ (n - 1).

Question 29

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:

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

Question 30

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

Question 31

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

Question 32

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.

Question 33

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:

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

Question 34

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

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).

Question 36

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

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

Question 38

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

Question 39

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

A)2.7985
B)2.6000
C)10.6540
D)2.6635

Question 40

In the Analytic Hierarchy Process, λ is

A)the average value of the consistency vector.
B)equivalent to the CI.
C)equivalent to the CR.
D)equivalent to the RI.

Question 41

Table M1-5
It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria.
His pairwise comparison matrices are as follows:

Use Table M1-5 to determine the priority for the Lederhosen in the ease of use factor's normalized matrix.

A)0.2572
B)0.2828
C)0.1622
D)0.2132

Question 42

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.

Question 43

Table M1-5
It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria.
His pairwise comparison matrices are as follows:

Use Table M1-5 to determine the element in the weighted sum vector for the comfort factor for the kilt.

A)0.6446
B)0.7755
C)2.2605
D)2.1517

Question 44

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

Question 45

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)there is a high confidence in determining factor weights with pairwise comparisons.

Question 46

Table M1-5
It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria.
His pairwise comparison matrices are as follows:

Use Table M1-5 to determine the consistency ratio for the ease of use factor.

A)0.0565
B)0.0656
C)0.0454
D)0.0545

Question 47

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.

Question 48

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.

Question 49

Describe a multifactor evaluation process.

Question 50

Table M1-5
It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria.
His pairwise comparison matrices are as follows:

Use Table M1-5 to determine the priority for the grass skirt in the comfort factor's normalized matrix.

A)0.0712
B)0.0738
C)0.0853
D)0.0874

Question 51

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

Question 52

Table M1-5
It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria.
His pairwise comparison matrices are as follows:

Use Table M1-5 to determine the consistency index for the style factor.

A)0.0328
B)0.0158
C)0.0048
D)0.0028

Question 53

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 54

Table M1-5
It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria.
His pairwise comparison matrices are as follows:

Use Table M1-5 to determine the priority for the Kilt in the style factor's normalized matrix.

A)0.0874
B)0.0909
C)0.0738
D)0.0769

Question 55

Table M1-5
It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria.
His pairwise comparison matrices are as follows:

Use Table M1-5 to determine the element in the weighted sum vector for the ease of use factor for the grass skirt.

A)0.2049
B)0.2223
C)0.2566
D)0.2623

Question 56

Table M1-5
It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria.
His pairwise comparison matrices are as follows:

Use Table M1-5 to determine the consistency ratio for the comfort factor.

A)0.0163
B)0.0281
C)0.0328
D)0.0416

Question 57

Table M1-5
It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria.
His pairwise comparison matrices are as follows:

Use Table M1-5 to determine the lambda for the comfort factor.

A)3.0013
B)3.0055
C)3.0326
D)3.0655

Question 58

Table M1-5
It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria.
His pairwise comparison matrices are as follows:

Use Table M1-5 to determine the element in the weighted sum vector for the style factor for the lederhosen.

A)0.4871
B)0.6446
C)0.8662
D)0.7755

Question 59

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 60

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

Question 61

How is the consistency index computed?

Question 62

Table M1-5
It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria.
His pairwise comparison matrices are as follows:

Using Table M1-5, what are the total weighted evaluations for the three options for attire?

Question 63

Table M1-5
It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria.
His pairwise comparison matrices are as follows:

Using Table M1-5, what is the consistency ratio for the comfort factor?

Question 64

Compare and contrast AHP and MFEP.

Question 65

Interpret the consistency ratio.

Question 66

Table M1-5
It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria.
His pairwise comparison matrices are as follows:

Use Table M1-5 to compute the normalized matrix for the three factors.