This document describes a study that developed a composite performance index (CPI) model to rank student candidates for admission. The CPI model incorporates multiple criteria like academic scores, with assigned weights, to calculate an overall index score for each candidate. Ten sample students were assessed based on five criteria: academic achievement, extracurricular activities, discipline record, attendance, and recommendation letters. CPI scores were calculated for each student by multiplying their criteria scores by the criteria weights and summing the results. The students were then ranked based on their CPI scores to determine the top candidates for admission.

1. International Journal of Research In Science & Engineering e-ISSN: 2394-8299
Volume: 3 Issue: 3 May-June 2017 p-ISSN: 2394-8280
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COMPOSITE PERFORMANCE INDEX FOR STUDENT ADMISSION
Robbi Rahim1
, Mesran2
, Andysah Putera Utama Siahaan3
, Solly Aryza4
1
Lecturer, APIKES Imelda Medan, Jl. Bilal Ujung No.24, Kota Medan, Sumatera Utara,
Indonesia
usurobbi85@zoho.com
2
Lecturer, STMIK Budi Darma, Jl. Sisingamangaraja XII No. 338, Kota Medan,Sumatera
Utara, 20216
mesran.skom.mkom@gmail.com
3
Lecturer, Faculty of Computer Science Universitas Pembangunan Panca Budi, Jl. Jend.
Gatot Subroto Km.4,5 Sei Sikambing, 20122, Medan, Sumatera Utara, Indonesia
andiesiahaan@gmail.com
4
Lecturer, Faculty of Electrical Engineering, Universitas Pembangunan Panca Budi, Jl.
Jend. Gatot Subroto Km. 4,5 Sei Sikambing, 20122, Medan, Sumatera Utara, Indonesia
sollyaryzalubis@gmail.com
ABSTRACT
Decision support system is part of computer-based information systems used to support
decision-making in an organization or company, and the decision support could be
generated by using several kinds of methods, one of which is a method of Composite
Performance Index (CPI). Composite Performance Index can be used to determine the
determination or ranking of various alternatives based on several criteria and is expected
to use the Composite Performance Index (CPI) the acceptance of new students more
effectively so that students quickly get information about the admissibility of the student
candidates.
Keyword: Decision Support System, Composite Performance Index, Multi-criteria,
Decision Process
1. INTRODUCTION
Acceptance of student activities conducted by educational and non-educational
institutions. In particular, educational institutions provide some criteria for the acceptance of
students each year. Selection of new students is a way, the process, the selection or screening
of students in the academic ability is the best candidate for the learning sector in educational
institutions that need to be determined quickly and precisely matches or meets the acceptance
criteria as appropriate in each institution.
Decision support system is generating system information [1] [2] [3] aimed at a specific
problem to be solved by policy makers in decision making [4] [5] [6] [7]. Decision support
systems are an integral part of the totality of the organization's overall system [4] [8] [9] [10]
[11].
Composite Performance Index can be used to determine the ranking of various
alternatives based on criteria for decision-making using intuitive and analytical [12].
Decisions are taken intuitively be precise when making decisions in similar situations and
had done the previous analysis. Analysis precedes decisions requires a longer time because of
the need for proper data and appropriate processing methods proposed so that decisions can
be implemented properly [12].

2. International Journal of Research In Science & Engineering e-ISSN: 2394-8299
Volume: 3 Issue: 3 May-June 2017 p-ISSN: 2394-8280
IJRISE JOURNAL| www.ijrise.org|editor@ijrise.org [68-74]
2. THEORIES
Composite Performance Index can be used to determine the determination or ranking of
various alternatives based on several criteria [12].
 
 
100
min
min
x
xij
xij
Aij 
 
 
 
100
min
.1
.1 x
xij
x ji
A ji


p jxAijI ij 



n
j
I ijI j
1
Description
Aij = value alternative to the criteria i j
Xij(min) = i alternative value at the minimum initial criteria j
A(i + 1.j) = value alternative to i + 1 on the criteria of the j
(X(I + 1.j) = value alternative to i + 1 at the beginning of the j criteria
Pj = importance weight criteria j
Iij = alternative index i
I = Composite index on the alternative criteria i
i = 1,2,3,…,n
j = 1,2,3,…,m
Composite Performance Index procedure described as follows [12]:
1. Identification criteria: positive trend (the higher the value, the better)
2. For criteria, a positive trend, the minimum value of each criterion is transformed into a
hundred, while the other values are transform proportionally higher.
3. For negative trends criteria, the minimum value of each criterion is transformed into a
hundred, while others transformed the lower value.
4. Calculation of alternative value is the sum of multiplying the value of the criteria with
weighting criteria.
Alternative determination into the ranking is determined based on the calculation model
Bayes.
B jx
n
j
V ijN ki 


1
0.1
1


n
j
Bi
Description:
Nki = Total final value of alternative i
Vij = the value of alternative i on criterion j
Bj = level of importance (weight) criterion j
I,j = 1,2,3,…n;
n = the number of alternative
3. RESULT AND DISCUSSION
The selection of new students using the Composite Performance Index (CPI) required
criteria and weights to perform calculations to get the best alternative, in this case, the

3. International Journal of Research In Science & Engineering e-ISSN: 2394-8299
Volume: 3 Issue: 3 May-June 2017 p-ISSN: 2394-8280
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alternative in question is a prospective student who is accepted, the criteria are taken into
consideration are as follows:
Tabel I.
The weights and Trends Criteria
NO Criteria Weight Trends
1 C1 0.3 +
2 C2 0.2 +
3 C3 0.1 -
4 C4 0.1 -
5 C5 0.3 +
From the number of students who register taken ten students as an example of the
application of the Composite Performance Index (CPI) in the selection process for more
details, see the following table:
Table II.
Data Assessment
No Alternative C1 C2 C3 C4 C5
1 A1 7,5 70 50 6,5 100
2 A2 7,5 70 50 6,5 90
3 A3 7,5 70 70 6,5 80
4 A4 7,5 70 50 6,5 90
5 A5 7,5 50 50 50 50
6 A6 7,5 50 70 6,5 80
7 A7 7,5 70 70 50 60
8 A8 7,5 70 50 50 60
9 A9 7,5 50 70 50 60
10 A10 7,5 50 70 6,5 90
Minimal value 7,5 50 50 50 50
1. The calculation of C1
Trends in C1 is (+), where the higher the value, the better:
Tren (+) = Value N / Value Min * 100
a. 7,5 : 7,5 = 1 * 100 = 100
b. 7,5 : 7,5 = 1 * 100 = 100
c. 7,5 : 7,5 = 1 * 100 = 100
d. 7,5 : 7,5 = 1 * 100 = 100
e. 7,5 : 7,5 = 1 * 100 = 100
f. 7,5 : 7,5 = 1 * 100 = 100
g. 7,5 : 7,5 = 1 * 100 = 100
h. 7,5 : 7,5 = 1 * 100 = 100
i. 7,5 : 7,5 = 1 * 100 = 100
j. 7,5 : 7,5 = 1 * 100 = 100
2. The calculation of C2
Trends on the criterion C2 is (+), where the higher the value, the better.
Trends (+) = Value N / Min Value * 100
a. 70 : 50 = 1,4 * 100 = 140
b. 70 : 50 = 1,4 * 100 = 140
c. 70 : 50 = 1,4 * 100 = 140

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Volume: 3 Issue: 3 May-June 2017 p-ISSN: 2394-8280
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d. 70 : 50 = 1,4 * 100 = 140
e. 50 : 50 = 1 * 100 = 100
f. 50 : 50 = 1 * 100 = 100
g. 70 : 50 = 1,4 * 100 = 140
h. 70 : 50 = 1,4 * 100 = 140
i. 50 : 50 = 1 * 100 = 100
j. 50 : 50 = 1 * 100 = 100
3. The calculation of C3
Trends on the criterion C3 is (-), where the lower the value, the better.
Trends (-) = Value Min / Value N * 100
a. 50 : 50 = 1 * 100 = 100
b. 50 : 50 = 1 * 100 = 100
c. 50 : 70 = 0,71 * 100 = 71
d. 50 : 50 = 1 * 100 = 100
e. 50 : 50 = 1 * 100 = 100
f. 50 : 70 = 0,71 * 100 = 71
g. 50 : 70 = 0,71 * 100 = 71
h. 50 : 50 = 1 * 100 = 100
i. 50 : 70 = 0,71 * 100 = 71
j. 50 : 70 = 0,71 * 100 = 71
4. The calculation of C4
Trends in C4 criteria is (-), where the lower the value, the better.
Trends (-) = Value Min / Value N * 100
a. 50: 6,5 = 7,69 * 100 = 769
b. 50 : 6,5 = 7,69 * 100 = 769
c. 50 : 6,5 = 7,69 * 100 = 769
d. 50 : 6,5 = 7,69 * 100 = 769
e. 50 : 50 = 1 * 100 = 100
f. 50 : 6,5 = 7,69 * 100 = 769
g. 50 : 50 = 1 * 100 = 100
h. 50 : 50 = 1 * 100 = 100
i. 50 : 50 = 1 * 100 = 100
j. 50 : 6,5 = 7,69 * 100 = 769
5. The calculation of C5
Trends in C5 criteria is (+), where the higher the value, the better.
Trends (+) = Value N / Min Value * 100
a. 100 : 50 = 2 * 100 = 200
b. 90 : 50 = 1,8 * 100 = 180
c. 80 : 50 = 1,6 * 100 = 160
d. 90 : 50 = 1,8 * 100 = 180
e. 50 : 50 = 1 * 100 = 100
f. 80 : 50 = 1,6 * 100 = 160
g. 60 : 50 = 1,2 * 100 = 120
h. 60 : 50 = 1,2 * 100 = 120
i. 60 : 50 = 1,2 * 100 = 120
j. 90 : 50 = 1,8 * 100 = 180
6. The Calculation of CPI
CPI = Value of C1 * Weight Value + Value of C2 * Weight Value + Value of C3 *
Weight Value + Value of C4 * Weight Value + Value of C5 * Weight Value
a. Calculation A1

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CPI = 100 * 0,3 + 140 * 0,2 + 100 * 0,1 + 769 * 0,1 + 200 * 0,3
= 30 + 28 + 10 + 76,9 + 60
= 204,9
b. Calculation A2
CPI = 100 * 0,3 + 140 * 0,2 + 100 * 0,1 + 769 * 0,1 + 180 * 0,3
= 30 + 20 + 10 + 76,9 + 54
= 190,9
c. Calculation A3
CPI = 100 * 0,3 + 140 * 0,2 + 71 * 0,1 + 769 * 0,1 + 160 * 0,3
= 30 + 20 + 7,1 + 76,9 + 48
= 182
d. Calculation A4
CPI = 100 * 0,3 + 140 * 0,2 + 100 * 0,1 + 769 * 0,1 + 100 * 0,3
= 30 + 20 + 10 + 76,9 + 30
= 166,9
e. Calculation A5
CPI = 100 * 0,3 + 100 * 0,2 + 100 * 0,1 + 100 * 0,1 + 100 * 0,3
= 30 + 20 + 10 + 10 + 30
= 100
f. Calculation A6
CPI = 100 * 0,3 + 100 * 0,2 + 71 * 0,1 + 769 * 0,1 + 160 * 0,3
= 30 + 20 + 7,1 + 76,9 + 48
= 182
g. Calculation A7
CPI = 100 * 0,3 + 140 * 0,2 + 71 * 0,1 + 100 * 0,1 + 120 * 0,3
= 30 + 28 + 7,1 + 10 + 36
= 111,1
h. Calculation A8
CPI = 100 * 0,3 + 140 * 0,2 + 100 * 0,1+ 100 * 0,1 + 120 * 0,3
= 30 + 28 + 20 + 10 + 36
= 124
i. Calculation A9
CPI = 100 * 0,3 + 100 * 0,2 + 71 * 0,1 + 100 * 0,1 + 120 * 0,3
= 30 + 20 + 7,1 + 10 + 10
= 77,1
j. Calculation A10
CPI = 100 * 0,3 + 100 * 0,2 + 71 * 0,1 + 769 * 0,1 + 180 * 0,3
= 30 + 20 + 7,1 + 76,9 + 54
= 188
7. CPI Count Results
Below is a table with the CPI calculation results sort by highest value:
Table III.
CPI Result
NO Alternative CPI Value Ranking

6. International Journal of Research In Science & Engineering e-ISSN: 2394-8299
Volume: 3 Issue: 3 May-June 2017 p-ISSN: 2394-8280
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1
2
3
4
5
6
7
8
9
10
A1
A2
A3
A4
A5
A6
A7
A8
A9
A10
204,9
190,9
182
166,9
100
182
111,1
124
77,1
180
1
2
3
6
9
4
8
7
10
5
From 10 examples above only two prospective alternatives which are not accepted
because they do not meet the criteria is alternative A9 and alternative A5 achieved lower
value does not reach the value criteria and the other alternative success to new admission.
4. CONCLUSION
Composite Performance Index (CPI) can be used as a process aid to decision-making to
minimize errors and admissions subjectively, the method of calculating the CPI can also be
calculated manually and easily especially if it is applied in the form of application that will
allow all parties to obtain accurate results.
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