Riset operasi dan optimasi

1. Research,
Operation, and
Optimization
CHOOSING
THE BEST CAR

2. Winda Amalia H. (4312100028)
Faisal Siswanto (4312100046)
R. D. Pradana (4312100053)
Sandy Ramadhan (4312100055)
Maria Putri Rosari (4312100069)
Theolevi R. Daffa (4312100109)
MEMBERS

3. The Analytic Hierarchy Process (AHP) is a decision-
making procedure originally developed by Thomas
Saaty. Its primary use is to offer solutions to decision
problems in multivariate environments, in which
several alternatives for obtaining given objectives are
compared under different criteria.
In this case, we use AHP to solve ‘choosing the best
car’ problem in a family which there is a child and his
parents. Because of those members (not only a person
who make the decision), we get the new problem
because there are three perspective too in the process
of giving weights for each choices.
PRELIMINERY

4. Research,
Operation, and
Optimization
DATA ANALYSIS

5. STYLE
RELIABILITY
ECONOMY
VARIABLES

6. KIJANG
PANTHER
CHOICES

7. 1 : equaly important
3 : slightly more important
5 : moderately more important
7 : much more important
9 : extremely important
INDEX NUMBER

8. Research,
Operation, and
Optimization
TABLE AND MATRICES

9. Style Reliability Economy
Style 1 3 5
Reliability 1
3
1 5
3
Economy 1
5
3
5
1
CHILD’S TABLE

10. 1 3 5
1
3
1
5
3
1
5
3
5
1
x
1 3 5
1
3
1
5
3
1
5
3
5
1
=
2.99 9 15.01
0.994 2.992 4.99
0.598 1.8 3
2.99 9 15.01
0.994 2.992 4.99
0.598 1.8 3
=
27
8.976
5.398
∑ of
27
8.976
5.398
=41.374
27
8.976
5.398
: 41.374 =
0.65
0.22
0.13
∑ of
0.65
0.22
0.13
= 1 (ok)(sum of all elements = 1)
CHILD’S MATRICES

11. FATHER’S TABLE
Style Reliability Economy
Style 1 1
7
3
7
Reliability 7 1 3
Economy 7
3
1
3
1

12. 1
1
7
3
7
7 1 3
7
3
1
3
1
x
1
1
7
3
7
7 1 3
7
3
1
3
1
=
2.969 0.4219 1.28
20.9 2.97 9.01
6.91 0.982 2.98
2.969 0.4219 1.28
20.9 2.97 9.01
6.91 0.982 2.98
=
4.6709
32.88
10.872
∑ of
4.6709
32.88
10.872
= 48.4229
4.6709
32.88
10.872
: 48.4229 =
0.096
0.68
0.224
∑ of
0.096
0.68
0.224
= 1 (ok) (sum of all elements = 1)
FATHER’S MATRICES

13. MOTHER’S TABLE
Style Reliability Economy
Style 1 5
3
1
3
Reliability 3
5
1 1
5
Economy 3 5 1

14. 1
5
3
1
3
3
5
1
1
5
3 5 1
x
1
5
3
1
3
3
5
1
1
5
3 5 1
=
2.99 4.99 0.99
1.8 3 0.598
9 15.01 2.99
2.99 4.99 0.99
1.8 3 0.598
9 15.01 2.99
=
8.97
5.398
27
∑ of
8.97
5.398
27
= 41.368
8.97
5.398
27
: 41.368 =
0.217
0.13
0.653
∑ of
0.217
0.13
0.653
= 1 (ok) (sum of all elements = 1)
MOTHER’S MATRICES

15. STYLE’S TABLE
Kijang Panther
Kijang 1 1
7
Panther 7 1

16. 1
1
7
7 1
x
1
1
7
7 1
=
2 0.286
14 2
2 0.286
14 2
=
2.286
16
∑ of
2.286
16
= 18.286
2.286
16
: 18.286 =
0.13
0.87
∑ of
0.13
0.87
= 1 (ok) (sum of all elements = 1)
STYLE’S MATRICES

17. RELIABILITY’S TABLE
Kijang Panther
Kijang 1 5
Panther 1
5
1

18. 1 5
1
5
1 x
1 5
1
5
1 =
2 10
0.4 2
2 10
0.4 2
=
12
2.4
∑ of
12
2.4
= 14.4
12
2.4
: 14.4 =
0.83
0.17
∑ of
0.83
0.17
= 1 (ok) (sum of all elements = 1)
RELIABILITY’S MATRICES

19. ECONOMY’S TABLE
Kijang Panther
Kijang 1
1
3
Panther 3 1

20. 1
1
3
3 1
x
1
1
3
3 1
=
2 0.67
6 2
2 0.67
6 2
=
2.67
8
∑ of
2.67
8
= 10.67
2.67
8
: 10.67 =
0.25
0.75
∑ of
0.25
0.75
= 1 (ok) (sum of all elements = 1)
ECONOMY’S MATRICES

21. Variables Kijang Panther
Style 0.13 0.87
Reliability 0.83 0.17
Economy 0.25 0.75
GENERAL DECISION TABLE

22. Variables Weight
Kijang Panther
Score
Weigthed
Score
Score
Weigthed
Score
Style 0.65 0.13 0.0845 0.87 0.5655
Reliability 0.22 0.83 0.1826 0.17 0.0374
Economy 0.13 0.25 0.0325 0.75 0.0975
∑ 0.2996 0.7004
CHILD’S DECISION TABLE

23. Variables Weight
Kijang Panther
Score
Weigthed
Score
Score
Weigthed
Score
Style 0.096 0.13 0.01248 0.87 0.08352
Reliability 0.68 0.83 0.5644 0.17 0.1156
Economy 0.224 0.25 0.056 0.75 0.168
∑ 0.63288 0.36712
FATHER’S DECISION TABLE

24. Variables Weight
Kijang Panther
Score
Weigthed
Score
Score
Weigthed Score
Style 0.217 0.13 0.02821 0.87 0.18879
Reliability 0.13 0.83 0.1079 0.17 0.0221
Economy 0.653 0.25 0.16325 0.75 0.48975
∑ 0.29936 0.70064
MOTHER’S DECISION TABLE

25. By the AHP, we know that child and
mother choose Panther, but father choose
Kijang. Based on the fact, we can decide
that Panther is the best car for the family.
CONCLUSION