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(20) Problem #2 The management science and information technology majors at Tech

ID: 3197309 • Letter: #

Question

(20) Problem #2 The management science and information technology majors at Tech select one of two options within the major---decision support systems (DSS) or operations management (OM). Student advisors use AHP (Analytical Hierarchy Process) to determine which option they should select. The criteria used by the advisors are student aptitude and interests, faculty who teach in the options and potential job availability. An advisor has helped one major develop the following pair wise comparisons: Aptitude Facult Jobs Options DSS OMOptions DSS OM DSS OM Options DSS OM DSS OM 11/5 DSS OM 1/4 1 1 4 1/21 Criterion Aptitude Faculty Jobs Aptitude Facult 1/2 Jobs 1/4 1/3 2 4 Which option should the student select?

Explanation / Answer

Pairwise comparition matrix:

  

Column Addition:

Normalized matrix:

From the normalized matrix ,we obtain the overal or final priorities by simply calculating the average of each row.

That is..

Aptitude:[ 7+(1/9 )+(3/19) ] /3 = 2.42300

Faculty :[ (2/7 )+ (2/9) +(4/19) ] /3 = 0.23949

Jobs :[ (4/7 ) + (2/3) + (12/19) ] /3 = 0.62322

Calculation of Priorities : row averages

  

Presentation of result:Original judgements and Priorities

Therefore the student will select Aptitude option.

Criterion Aptitude Faculty Jobs Aptitude 1 1/2 1/4 Faculty 2 1 1/3 Jobs 4 3 1