THE INTERNATIONAL UNIVERSITY (IU) Course: Statistics for Business
Department of Industrial System Engineering
MIDTERM EXAMINATION
MCDM Duration:
120 minutes
Head of School of Industrial Lecturer: Student ID: Date:
& Engineering Management 6 Nov, 2019
Name:
Dr. Nguyen Van Hop
INSTRUCTIONS:
1. This is an open book examination. No laptops, PDA.
2. Use of calculator is allowed; discussion and material transfer are strictly prohibited.
Total pages: 2 (including this page)
PART I (100 %)
Question 1 (25pts)
A company want to identify which one among 4 designs namely, A, B, C, D are most preferred to come
up with the final selections. To obtain this, the company want to use the pairwise comparison to facilitate
the survey process. The final table is given as follows:
A B C D
A _ 1/5 1/5 1
B _ 1/3 5
C _ 9
D _
a) Using AHP approach to find the final weight of each design based on the above table (15pts)
b) Check the consistency ratio of the final result (7pts)
c) Now assume that instead of directly pairwise comparison like the above, the company now add
more one layer of criteria between goal and alternatives. There are 3 criteria in this layer namely,
X, Y and Z. How many matrix of pairwise comparison need to be surveyed, the size of each matrix
and their meaning.(7pts)
MCDM-Midterm Exam 6,Nov, 2019 1
Department of Industrial System Engineering
MIDTERM EXAMINATION
MCDM Duration:
120 minutes
Head of School of Industrial Lecturer: Student ID: Date:
& Engineering Management 6 Nov, 2019
Name:
Dr. Nguyen Van Hop
INSTRUCTIONS:
1. This is an open book examination. No laptops, PDA.
2. Use of calculator is allowed; discussion and material transfer are strictly prohibited.
Total pages: 2 (including this page)
PART I (100 %)
Question 1 (25pts)
A company want to identify which one among 4 designs namely, A, B, C, D are most preferred to come
up with the final selections. To obtain this, the company want to use the pairwise comparison to facilitate
the survey process. The final table is given as follows:
A B C D
A _ 1/5 1/5 1
B _ 1/3 5
C _ 9
D _
a) Using AHP approach to find the final weight of each design based on the above table (15pts)
b) Check the consistency ratio of the final result (7pts)
c) Now assume that instead of directly pairwise comparison like the above, the company now add
more one layer of criteria between goal and alternatives. There are 3 criteria in this layer namely,
X, Y and Z. How many matrix of pairwise comparison need to be surveyed, the size of each matrix
and their meaning.(7pts)
MCDM-Midterm Exam 6,Nov, 2019 1