
improvements, by adding or subtracting the value of 
each  variable  in  the  DMU  to  achieve  an  optimal 
objective function based on the results of CRS Dual. 
The results of CRS Dual in 2019, namely DMU 1, 
DMU 2, DMU 3 and DMU 5 have a TE value of 1 
because the z=1 value is considered efficient, while 
DMU  4  TE  is 1.1624054819,  for  DMU  4  there  is 
Slack at Y1 of 0.000136, X1 of 0.023767. The Siti 
Weaving Unit has  a CRS Dual efficiency value  of 
0.8602850, this means that the Siti Weaving Unit is 
not  optimal  based  on  technical  and  scale  aspects 
simultaneously. The CRS Dual calculation results in 
a slack output value of 0.000136 for the number of 
So1  products,  compared  to  a  slack  input  value  of 
0.023767  for  Si1.  Meanwhile,  the  Dewi  Weaving 
Unit,  Era  Weaving  Unit,  Riza  Weaving  Unit  and 
Triya Weaving Unit have a dual CRS value which is 
efficient and optimal, namely 1 from a technical point 
of view and concurrent scale. A DMU that has slack 
functions  to  make  improvements,  by  adding  or 
subtracting the value of each variable in the DMU to 
achieve an optimal objective function based on the 
results of CRS Dual. 
The results of CRS Dual in 2020, namely DMU 1, 
DMU 2, and DMU 3 have a TE value of 1 because 
the z=1 value is considered efficient, while DMU 4 
TE is 1.2322274298, for DMU 4 there is Slack at Y1 
of  0.000158,  X1  of  0.038067  .  DMU  5  TE  is 
1.0833333604, for DMU 5  there is Slack at Y1 of 
0.000155, X1 of 0.025541 and X3 of 0.000044. The 
Siti Weaving Unit is not the optimal choice due to its 
CRS Dual efficiency value of 0.8115385, which takes 
into  account  both  technical  and  scale  aspects 
simultaneously. The CRS Dual calculation yields a 
slack output value of 0.000158 for So1 products, and 
an input SI1 value of 0.038067. The Triya Weaving 
Unit has a CRS Dual efficiency value of 0.9230769, 
which means that it is not optimal based on technical 
and scale aspects simultaneously. From the CRS Dual 
calculation, the slack output value for the number of 
So1 products is 0.000155, while the slack input Si1 is 
0.025541, and Si3 is 0.000044. Meanwhile, the Dewi 
Weaving Unit, Era Weaving Unit, and Riza Weaving 
Unit have a dual CRS value which is efficient and 
optimal, namely 1 from a technical and concurrent 
scale perspective. A DMU that has slack functions to 
make  improvements,  by  adding  or  subtracting  the 
value  of  each  variable  in  the  DMU  to  achieve  an 
optimal  objective  function  based  on  the  results  of 
CRS Dual. 
The results of CRS Dual in 2021 are that DMU 1 
and DMU 3 have a TE value of 1 because the value 
of z=1 is considered efficient, while DMU 2 TE is 
1.2091423251, for DMU 2  there is Slack at Y1 of 
0.000124,  X3  of  0.000041.  DMU  4  TE  is 
1.3666803335, for DMU 4  there is Slack at Y1 of 
0.000126,  X1  of  0.025700.  DMU  5  TE  is 
1.204456489,  for  DMU  5  there  is  Slack  at  Y1  of 
0.000130, X1 of 0.036650. The Era Weaving Unit has 
a  Dual  CRS  efficiency  value  of  0.8270325.  This 
means that the Era Weaving Unit is not optimal based 
on technical and scale aspects simultaneously. From 
the CRS Dual calculation, the slack output value for 
the number of So1 products is 0.000124 and the slack 
input Si3 is 0.000041. The Siti Weaving Unit has a 
CRS Dual efficiency value of 0.7317, which means 
that the Siti Weaving Unit is not optimal based on 
technical and scale aspects simultaneously. The CRS 
Dual calculation shows that the slack output value for 
So1 products is 0.000126, compared to the slack input 
SI1 being 0.025700. The Triya Weaving Unit has a 
CRS Dual efficiency value of 0.83025, which means 
that the Triya Weaving Unit is not optimal based on 
technical and scale aspects simultaneously. From the 
CRS Dual calculation, the slack output value for the 
number of So1 products is 0.000130  and the  slack 
input Si1 is 0.036650. Meanwhile, the Dewi Weaving 
Unit and Riza Weaving Unit have a dual CRS value 
which is already efficient and optimal, namely 1 from 
a technical and concurrent scale perspective. A DMU 
that has slack functions to make improvements, by 
adding or subtracting the value of each variable in the 
DMU to achieve an optimal objective function based 
on the results of CRS Dual. 
At  this  stage,  the  VRS  model  is  calculated  to 
determine if the DMU efficiency is purely technical 
efficiency or influenced by other factors outside the 
DMU. This VRS model is a refinement of the CRS 
DUAL model by providing a convexity constrain = 1. 
In 2018, in the VRS calculation, there was only 1 
inefficient DMU, namely DMU 2 Era, where the Era 
Weaving  Unit  had  a  slack  output  value  of  So1  of 
0.000107 and slack input of Si3 of 0.000041. 
In 2019, in the VRS calculation, there were only 
2 inefficient DMUs, namely DMU 2 Era and DMU 3 
Riza, where the Era Weaving Unit had a slack output 
value  of  So1  of  0.000118  and  slack  input  Si1  of 
0.023767. Meanwhile, the Riza Weaving Unit has a 
slack output value of 0.000118 at So1 and 0.000228 
at Si2. 
In 2020, in the calculation of VRS, all DMUs are 
efficient. 
In 2021, in the VRS calculation, there are only 3 
inefficient DMUs, namely DMU 2 Era, DMU 4 Siti, 
and DMU 5 Triya where the Era Weaving Unit has a 
slack output value of So1 of 0.000115 and slack input 
Si3 of 0.000041, Siti's Weaving Unit has a slack value 
the output at So1 is 0.000117 and the slack input at 
Efficiency of the Tanjung Modang Nagari Tanjung Bonai Weaving Production Process Using the Data Envelopment Analysis Method
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