Exam 16: Analytic Hierarchy Process

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?

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

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

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

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?

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

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?

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

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

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

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?

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

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.

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

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

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

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

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.

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

The consistency ratio is