Exam 16: Analytic Hierarchy Process

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

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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?

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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.)

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How is the consistency index computed?

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

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CI = (λ - n )/ ( n - 1 )

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Interpret the consistency ratio.

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

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

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

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

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

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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 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? -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?

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

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

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

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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. 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.

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

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In the Analytic Hierarchy Process, λ is

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Higher values of the CR indicate

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