dmu 1 dmu 1 dmu 1
Post on 14-Sep-2015
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DESCRIPTION
TRANSCRIPT
DMU 1
DMU 1
MINIMIZE
EF_DMU1)
T1-0.000001Sr1-0.000001Sr2-0.000001Sr3-0.000001Sr4-0.000001Sr5-0.000001Si1-0.000001Si2
SUBJECT TO
U1)
7L1+10L2+13L3+4L4+2L5+5L6+0L7+12L8-Sr5=7
U2)
148L1+144L2+144L3+144L4+144L5+149L6+144L7+144L8-Sr4=148
U3)
0L1+0L2+147L3+24L4+30L5+64L6+0L7+0L8-Sr3=0
U4)
7L1+18L2+6L3+9L4+11L5+17L6+7L7+7L8-Sr2=7
U5)
20L1+19L2+25L3+18L4+21L5+21L6+25L7+25L8-Sr1=20
V1)
4T1-Si1-4L1-12L2-12L3-2L4-11L5-14L6-0L7-3L8=0
V2)
4T1-Si2-4L1-4L2-4L3-4L4-4L5-4L6-4L7-4L8=0
L1>=0
L2>=0
L3>=0
L4>=0
L5>=0
L6>=0
L7>=0
L8>=0
Sr1>=0
Sr2>=0
Sr3>=0
Sr4>=0
Sr5>=0
Si1>=0
Si2>=0
END
Global optimal solution found.
Objective value: 1.000000
Infeasibilities: 0.000000
Total solver iterations: 5
Elapsed runtime seconds: 1.03
Model Class: LP
Total variables: 16
Nonlinear variables: 0
Integer variables: 0
Total constraints: 23
Nonlinear constraints: 0
Total nonzeros: 82
Nonlinear nonzeros: 0
Variable Value Reduced Cost
T1 1.000000 0.000000
SR1 0.000000 0.4455549E-02
SR2 0.000000 0.000000
SR3 0.000000 0.000000
SR4 0.000000 0.6141454E-02
SR5 0.000000 0.2531191E-03
SI1 0.000000 0.1015476E-02
SI2 0.000000 0.2489825
L1 1.000000 0.000000
L2 0.000000 0.3638482E-01
L3 0.000000 0.8748169E-02
L4 0.000000 0.3218632E-01
L5 0.000000 0.2846520E-01
L6 0.000000 0.000000
L8 0.000000 0.000000
L7 0.000000 0.000000
Row Slack or Surplus Dual Price
EF_DMU1 1.000000 -1.000000
U1 0.000000 -0.2541191E-03
U2 0.000000 -0.6142454E-02
U3 0.000000 -0.1000000E-05
U4 0.000000 -0.1000000E-05
U5 0.000000 -0.4456549E-02
V1 0.000000 -0.1016476E-02
V2 0.000000 -0.2489835
9 1.000000 0.000000
10 0.000000 0.000000
11 0.000000 0.000000
12 0.000000 0.000000
13 0.000000 0.000000
14 0.000000 0.000000
15 0.000000 0.000000
16 0.000000 0.000000
17 0.000000 0.000000
18 0.000000 0.000000
19 0.000000 0.000000
20 0.000000 0.000000
21 0.000000 0.000000
22 0.000000 0.000000
23 0.000000 0.000000
DMU 2
MINIMIZE
EF_DMU2)
T2-0.000001Sr1-0.000001Sr2-0.000001Sr3-0.000001Sr4-0.000001Sr5-0.000001Si1-0.000001Si2
SUBJECT TO
U1)
7L1+10L2+13L3+4L4+2L5+5L6+0L7+12L8-Sr5=10
U2)
148L1+144L2+144L3+144L4+144L5+149L6+144L7+144L8-Sr4=144
U3)
0L1+0L2+147L3+24L4+30L5+64L6+0L7+0L8-Sr3=0
U4)
7L1+18L2+6L3+9L4+11L5+17L6+7L7+7L8-Sr2=18
U5)
20L1+19L2+25L3+18L4+21L5+21L6+25L7+25L8-Sr1=19
V1)
12T2-Si1-4L1-12L2-12L3-2L4-11L5-14L6-0L7-3L8=0
V2)
4T2-Si2-4L1-4L2-4L3-4L4-4L5-4L6-4L7-4L8=0
L1>=0
L2>=0
L3>=0
L4>=0
L5>=0
L6>=0
L7>=0
L8>=0
Sr1>=0
Sr2>=0
Sr3>=0
Sr4>=0
Sr5>=0
Si1>=0
Si2>=0
END Global optimal solution found.
Objective value: 1.000000
Infeasibilities: 0.000000
Total solver iterations: 2
Elapsed runtime seconds: 1.22
Model Class: LP
Total variables: 16
Nonlinear variables: 0
Integer variables: 0
Total constraints: 23
Nonlinear constraints: 0
Total nonzeros: 82
Nonlinear nonzeros: 0
Variable Value Reduced Cost
T2 1.000000 0.000000
SR1 0.000000 0.000000
SR2 0.000000 0.1724636E-01
SR3 0.000000 0.000000
SR4 0.000000 0.000000
SR5 0.000000 0.6893745E-01
SI1 0.000000 0.000000
SI2 0.000000 0.2499960
L1 0.000000 0.3965233
L2 1.000000 0.000000
L3 0.000000 0.000000
L4 0.000000 0.5688239
L5 0.000000 0.6722061
L6 0.000000 0.3618706
L8 0.000000 0.5182909E-01
L7 0.000000 0.8790875
Row Slack or Surplus Dual Price
EF_DMU2 1.000000 -1.000000
U1 0.000000 -0.6893845E-01
U2 0.000000 -0.1000000E-05
U3 0.000000 -0.1000000E-05
U4 0.000000 -0.1724736E-01
U5 0.000000 -0.1000000E-05
V1 0.000000 -0.1000000E-05
V2 0.000000 -0.2499970
9 0.000000 0.000000
10 1.000000 0.000000
11 0.000000 0.000000
12 0.000000 0.000000
13 0.000000 0.000000
14 0.000000 0.000000
15 0.000000 0.000000
16 0.000000 0.000000
17 0.000000 0.000000
18 0.000000 0.000000
19 0.000000 0.000000
20 0.000000 0.000000
21 0.000000 0.000000
22 0.000000 0.000000
23 0.000000 0.000000
Dmu 3
MINIMIZE
EF_DMU3)
T3-0.000001Sr1-0.000001Sr2-0.000001Sr3-0.000001Sr4-0.000001Sr5-0.000001Si1-0.000001Si2
SUBJECT TO
U1)
7L1+10L2+13L3+4L4+2L5+5L6+0L7+12L8-Sr5=13
U2)
148L1+144L2+144L3+144L4+144L5+149L6+144L7+144L8-Sr4=144
U3)
0L1+0L2+147L3+24L4+30L5+64L6+0L7+0L8-Sr3=147
U4)
7L1+18L2+6L3+9L4+11L5+17L6+7L7+7L8-Sr2=6
U5)
20L1+19L2+25L3+18L4+21L5+21L6+25L7+25L8-Sr1=25
V1)
12T3-Si1-4L1-12L2-12L3-2L4-11L5-14L6-0L7-3L8=0
V2)
4T3-Si2-4L1-4L2-4L3-4L4-4L5-4L6-4L7-4L8=0
L1>=0
L2>=0
L3>=0
L4>=0
L5>=0
L6>=0
L7>=0
L8>=0
Sr1>=0
Sr2>=0
Sr3>=0
Sr4>=0
Sr5>=0
Si1>=0
Si2>=0
END Global optimal solution found.
Objective value: 1.000000
Infeasibilities: 0.000000
Total solver iterations: 1
Elapsed runtime seconds: 1.05
Model Class: LP
Total variables: 16
Nonlinear variables: 0
Integer variables: 0
Total constraints: 23
Nonlinear constraints: 0
Total nonzeros: 82
Nonlinear nonzeros: 0
Variable Value Reduced Cost
T3 1.000000 0.000000
SR1 0.000000 0.000000
SR2 0.000000 0.000000
SR3 0.000000 0.000000
SR4 0.000000 0.000000
SR5 0.000000 0.7689731E-01
SI1 0.000000 0.000000
SI2 0.000000 0.2499960
L1 0.000000 0.4615288
L2 0.000000 0.2308359
L3 1.000000 0.000000
L4 0.000000 0.6922018
L5 0.000000 0.8459964
L6 0.000000 0.6152595
L8 0.000000 0.7703531E-01
L7 0.000000 0.9998120
Row Slack or Surplus Dual Price
EF_DMU3 1.000000 -1.000000
U1 0.000000 -0.7689831E-01
U2 0.000000 -0.1000000E-05
U3 0.000000 -0.1000000E-05
U4 0.000000 -0.1000000E-05
U5 0.000000 -0.1000000E-05
V1 0.000000 -0.1000000E-05
V2 0.000000 -0.2499970
9 0.000000 0.000000
10 0.000000 0.000000
11 1.000000 0.000000
12 0.000000 0.000000
13 0.000000 0.000000
14 0.000000 0.000000
15 0.000000 0.000000
16 0.000000 0.000000
17 0.000000 0.000000
18 0.000000 0.000000
19 0.000000 0.000000
20 0.000000 0.000000
21 0.000000 0.000000
22 0.000000 0.000000
23 0.000000 0.000000
DMU 4
MINIMIZE
EF_DMU4)
T4-0.000001Sr1-0.000001Sr2-0.000001Sr3-0.000001Sr4-0.000001Sr5-0.000001Si1-0.000001Si2
SUBJECT TO
U1)
7L1+10L2+13L3+4L4+2L5+5L6+0L7+12L8-Sr5=4
U2)
148L1+144L2+144L3+144L4+144L5+149L6+144L7+144L8-Sr4=144
U3)
0L1+0L2+147L3+24L4+30L5+64L6+0L7+0L8-Sr3=24
U4)
7L1+18L2+6L3+9L4+11L5+17L6+7L7+7L8-Sr2=9
U5)
20L1+19L2+25L3+18L4+21L5+21L6+25L7+25L8-Sr1=18
V1)
2T4-Si1-4L1-12L2-12L3-2L4-11L5-14L6-0L7-3L8=0
V2)
4T4-Si2-4L1-4L2-4L3-4L4-4L5-4L6-4L7-4L8=0
L1>=0
L2>=0
L3>=0
L4>=0
L5>=0
L6>=0
L7>=0
L8>=0
Sr1>=0
Sr2>=0
Sr3>=0
Sr4>=0
Sr5>=0
Si1>=0
Si2>=0
END Global optimal solution found.
Objective value: 1.000000
Infeasibilities: 0.000000
Total solver iterations: 4
Elapsed runtime seconds: 1.39
Model Class: LP
Total variables: 16
Nonlinear variables: 0
Integer variables: 0
Total constraints: 23
Nonlinear constraints: 0
Total nonzeros: 82
Nonlinear nonzeros: 0
Variable Value Reduced Cost
T4 1.000000 0.000000
SR1 0.000000 0.000000
SR2 0.000000 0.1770812E-02
SR3 0.000000 0.5035090E-03
SR4 0.000000 0.6748469E-02
SR5 0.000000 0.000000
SI1 0.000000 0.5674517E-02
SI2 0.000000 0.2471612
L1 0.000000 0.000000
L2 0.000000 0.5291007E-01
L3 0.000000 0.000000
L4 1.000000 0.000000
L5 0.000000 0.4450797E-01
L6 0.000000 0.000000
L8 0.000000 0.2131236E-01
L7 0.000000 0.4297807E-02
Row Slack or Surplus Dual Price
EF_DMU4 1.000000 -1.000000
U1 0.000000 -0.1000000E-05
U2 0.000000 -0.6749469E-02
U3 0.000000 -0.5045090E-03
U4 0.000000 -0.1771812E-02
U5 0.000000 -0.1000000E-05
V1 0.000000 -0.5675517E-02
V2 0.000000 -0.2471622
9 0.000000 0.000000
10 0.000000 0.000000
11 0.000000 0.000000
12 1.000000 0.000000
13 0.000000 0.000000
14 0.000000 0.000000
15 0.000000 0.000000
16 0.000000 0.000000
17 0.000000 0.000000
18 0.000000 0.000000
19 0.000000 0.000000
20 0.000000 0.000000
21 0.000000 0.000000
22 0.000000 0.000000
23 0.000000 0.000000
DMU 5MINIMIZE
EF_DMU5)
T5-0.000001Sr1-0.000001Sr2-0.000001Sr3-0.000001Sr4-0.000001Sr5-0.000001Si1-0.000001Si2
SUBJECT TO
U1)
7L1+10L2+13L3+4L4+2L5+5L6+0L7+12L8-Sr5=2
U2)
148L1+144L2+144L3+144L4+144L5+149L6+144L7+144L8-Sr4=144
U3)
0L1+0L2+147L3+24L4+30L5+64L6+0L7+0L8-Sr3=30
U4)
7L1+18L2+6L3+9L4+11L5+17L6+7L7+7L8-Sr2=11
U5)
20L1+19L2+25L3+18L4+21L5+21L6+25L7+25L8-Sr1=21
V1)
11T5-Si1-4L1-12L2-12L3-2L4-11L5-14L6-0L7-3L8=0
V2)
4T5-Si2-4L1-4L2-4L3-4L4-4L5-4L6-4L7-4L8=0
L1>=0
L2>=0
L3>=0
L4>=0
L5>=0
L6>=0
L7>=0
L8>=0
Sr1>=0
Sr2>=0
Sr3>=0
Sr4>=0
Sr5>=0
Si1>=0
Si2>=0
END Global optimal solution found.
Objective value: 0.9722846
Infeasibilities: 0.000000
Total solver iterations: 6
Elapsed runtime seconds: 1.44
Model Class: LP
Total variables: 16
Nonlinear variables: 0
Integer variables: 0
Total constraints: 23
Nonlinear constraints: 0
Total nonzeros: 82
Nonlinear nonzeros: 0
Variable Value Reduced Cost
T5 0.9723077 0.000000
SR1 0.000000 0.4097606E-02
SR2 3.259145 0.000000
SR3 17.69915 0.000000
SR4 0.000000 0.6152964E-02
SR5 2.183590 0.000000
SI1 0.000000 0.1031457E-02
SI2 0.000000 0.2471597
L1 0.6529915E-01 0.000000
L2 0.000000 0.3696012E-01
L3 0.000000 0.1223048E-01
L4 0.000000 0.3072515E-01
L5 0.000000 0.2771545E-01
L6 0.7452991 0.000000
L8 0.000000 0.3085371E-02
L7 0.1617094 0.000000
Row Slack or Surplus Dual Price
EF_DMU5 0.9722846 -1.000000
U1 0.000000 -0.1000000E-05
U2 0.000000 -0.6153964E-02
U3 0.000000 -0.1000000E-05
U4 0.000000 -0.1000000E-05
U5 0.000000 -0.4098606E-02
V1 0.000000 -0.1032457E-02
V2 0.000000 -0.2471607
9 0.6529915E-01 0.000000
10 0.000000 0.000000
11 0.000000 0.000000
12 0.000000 0.000000
13 0.000000 0.000000
14 0.7452991 0.000000
15 0.1617094 0.000000
16 0.000000 0.000000
17 0.000000 0.000000
18 3.259145 0.000000
19 17.69915 0.000000
20 0.000000 0.000000
21 2.183590 0.000000
22 0.000000 0.000000
23 0.000000 0.000000
DMU 6
MINIMIZE
EF_DMU6)
T6-0.000001Sr1-0.000001Sr2-0.000001Sr3-0.000001Sr4-0.000001Sr5-0.000001Si1-0.000001Si2
SUBJECT TO
U1)
7L1+10L2+13L3+4L4+2L5+5L6+0L7+12L8-Sr5=5
U2)
148L1+144L2+144L3+144L4+144L5+149L6+144L7+144L8-Sr4=149
U3)
0L1+0L2+147L3+24L4+30L5+64L6+0L7+0L8-Sr3=64
U4)
7L1+18L2+6L3+9L4+11L5+17L6+7L7+7L8-Sr2=17
U5)
20L1+19L2+25L3+18L4+21L5+21L6+25L7+25L8-Sr1=21
V1)
14T6-Si1-4L1-12L2-12L3-2L4-11L5-14L6-0L7-3L8=0
V2)
4T6-Si2-4L1-4L2-4L3-4L4-4L5-4L6-4L7-4L8=0
L1>=0
L2>=0
L3>=0
L4>=0
L5>=0
L6>=0
L7>=0
L8>=0
Sr1>=0
Sr2>=0
Sr3>=0
Sr4>=0
Sr5>=0
Si1>=0
Si2>=0
END Global optimal solution found.
Objective value: 1.000000
Infeasibilities: 0.000000
Total solver iterations: 3
Elapsed runtime seconds: 1.59
Model Class: LP
Total variables: 16
Nonlinear variables: 0
Integer variables: 0
Total constraints: 23
Nonlinear constraints: 0
Total nonzeros: 82
Nonlinear nonzeros: 0
Variable Value Reduced Cost
T6 1.000000 0.000000
SR1 0.000000 0.7419548E-02
SR2 0.000000 0.1380000E-03
SR3 0.000000 0.000000
SR4 0.000000 0.5648238E-02
SR5 0.000000 0.000000
SI1 0.000000 0.000000
SI2 0.000000 0.2499955
L1 0.000000 0.1451179E-01
L2 0.000000 0.4300529E-01
L3 0.000000 0.000000
L4 0.000000 0.5164883E-01
L5 0.000000 0.2911419E-01
L6 1.000000 0.000000
L8 0.000000 0.000000
L7 0.000000 0.9000000E-05
Row Slack or Surplus Dual Price
EF_DMU6 1.000000 -1.000000
U1 0.000000 -0.1000000E-05
U2 0.000000 -0.5649238E-02
U3 0.000000 -0.1000000E-05
U4 0.000000 -0.1390000E-03
U5 0.000000 -0.7420548E-02
V1 0.000000 -0.1000000E-05
V2 0.000000 -0.2499965
9 0.000000 0.000000
10 0.000000 0.000000
11 0.000000 0.000000
12 0.000000 0.000000
13 0.000000 0.000000
14 1.000000 0.000000
15 0.000000 0.000000
16 0.000000 0.000000
17 0.000000 0.000000
18 0.000000 0.000000
19 0.000000 0.000000
20 0.000000 0.000000
21 0.000000 0.000000
22 0.000000 0.000000
23 0.000000 0.000000
DMU 7
MINIMIZE
EF_DMU7)
T7-0.000001Sr1-0.000001Sr2-0.000001Sr3-0.000001Sr4-0.000001Sr5-0.000001Si1-0.000001Si2
SUBJECT TO
U1)
7L1+10L2+13L3+4L4+2L5+5L6+0L7+12L8-Sr5=0
U2)
148L1+144L2+144L3+144L4+144L5+149L6+144L7+144L8-Sr4=144
U3)
0L1+0L2+147L3+24L4+30L5+64L6+0L7+0L8-Sr3=0
U4)
7L1+18L2+6L3+9L4+11L5+17L6+7L7+7L8-Sr2=7
U5)
20L1+19L2+25L3+18L4+21L5+21L6+25L7+25L8-Sr1=25
V1)
0T7-Si1-4L1-12L2-12L3-2L4-11L5-14L6-0L7-3L8=0
V2)
4T7-Si2-4L1-4L2-4L3-4L4-4L5-4L6-4L7-4L8=0
L1>=0
L2>=0
L3>=0
L4>=0
L5>=0
L6>=0
L7>=0
L8>=0
Sr1>=0
Sr2>=0
Sr3>=0
Sr4>=0
Sr5>=0
Si1>=0
Si2>=0
END Global optimal solution found.
Objective value: 1.000000
Infeasibilities: 0.000000
Total solver iterations: 0
Elapsed runtime seconds: 3.56
Model Class: LP
Total variables: 16
Nonlinear variables: 0
Integer variables: 0
Total constraints: 23
Nonlinear constraints: 0
Total nonzeros: 81
Nonlinear nonzeros: 0
Variable Value Reduced Cost
T7 1.000000 0.000000
SR1 0.000000 0.000000
SR2 0.000000 0.000000
SR3 0.000000 0.000000
SR4 0.000000 0.6943222E-02
SR5 0.000000 0.000000
SI1 0.000000 0.6943722E-02
SI2 0.000000 0.000000
L1 0.000000 0.000000
L2 0.000000 0.8332167E-01
L3 0.000000 0.8317767E-01
L4 0.000000 0.1386644E-01
L5 0.000000 0.7635994E-01
L6 0.000000 0.6243000E-01
L8 0.000000 0.2082217E-01
L7 1.000000 0.000000
Row Slack or Surplus Dual Price
EF_DMU7 1.000000 -1.000000
U1 0.000000 -0.1000000E-05
U2 0.000000 -0.6944222E-02
U3 0.000000 -0.1000000E-05
U4 0.000000 -0.1000000E-05
U5 0.000000 -0.1000000E-05
V1 0.000000 -0.6944722E-02
V2 0.000000 -0.2500000
9 0.000000 0.000000
10 0.000000 0.000000
11 0.000000 0.000000
12 0.000000 0.000000
13 0.000000 0.000000
14 0.000000 0.000000
15 1.000000 0.000000
16 0.000000 0.000000
17 0.000000 0.000000
18 0.000000 0.000000
19 0.000000 0.000000
20 0.000000 0.000000
21 0.000000 0.000000
22 0.000000 0.000000
23 0.000000 -0.2499990
DMU 8
MINIMIZE
EF_DMU8)
T8-0.000001Sr1-0.000001Sr2-0.000001Sr3-0.000001Sr4-0.000001Sr5-0.000001Si1-0.000001Si2
SUBJECT TO
U1)
7L1+10L2+13L3+4L4+2L5+5L6+0L7+12L8-Sr5=12
U2)
148L1+144L2+144L3+144L4+144L5+149L6+144L7+144L8-Sr4=144
U3)
0L1+0L2+147L3+24L4+30L5+64L6+0L7+0L8-Sr3=0
U4)
7L1+18L2+6L3+9L4+11L5+17L6+7L7+7L8-Sr2=7
U5)
20L1+19L2+25L3+18L4+21L5+21L6+25L7+25L8-Sr1=25
V1)
3T8-Si1-4L1-12L2-12L3-2L4-11L5-14L6-0L7-3L8=0
V2)
4T8-Si2-4L1-4L2-4L3-4L4-4L5-4L6-4L7-4L8=0
L1>=0
L2>=0
L3>=0
L4>=0
L5>=0
L6>=0
L7>=0
L8>=0
Sr1>=0
Sr2>=0
Sr3>=0
Sr4>=0
Sr5>=0
Si1>=0
Si2>=0
END Global optimal solution found.
Objective value: 1.000000
Infeasibilities: 0.000000
Total solver iterations: 2
Elapsed runtime seconds: 1.24
Model Class: LP
Total variables: 16
Nonlinear variables: 0
Integer variables: 0
Total constraints: 23
Nonlinear constraints: 0
Total nonzeros: 82
Nonlinear nonzeros: 0
Variable Value Reduced Cost
T8 1.000000 0.000000
SR1 0.000000 0.000000
SR2 0.000000 0.000000
SR3 0.000000 0.000000
SR4 0.000000 0.000000
SR5 0.000000 0.8331767E-01
SI1 0.000000 0.9272852E-02
SI2 0.000000 0.2430436
L1 0.000000 0.4258682
L2 0.000000 0.2500970
L3 0.000000 0.000000
L4 0.000000 0.6572565
L5 0.000000 0.9073475
L6 0.000000 0.6851680
L8 1.000000 0.000000
L7 0.000000 0.9720024
Row Slack or Surplus Dual Price
EF_DMU8 1.000000 -1.000000
U1 0.000000 -0.8331867E-01
U2 0.000000 -0.1000000E-05
U3 0.000000 -0.1000000E-05
U4 0.000000 -0.1000000E-05
U5 0.000000 -0.1000000E-05
V1 0.000000 -0.9273852E-02
V2 0.000000 -0.2430446
9 0.000000 0.000000
10 0.000000 0.000000
11 0.000000 0.000000
12 0.000000 0.000000
13 0.000000 0.000000
14 0.000000 0.000000
15 0.000000 0.000000
16 1.000000 0.000000
17 0.000000 0.000000
18 0.000000 0.000000
19 0.000000 0.000000
20 0.000000 0.000000
21 0.000000 0.000000
22 0.000000 0.000000
23 0.000000 0.000000
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