Difference between revisions of "MacMINLP"

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This directory contains a collection of Mixed Integer Nonlinear Programming (MINLP) test problems in [http://www.ampl.com/ AMPL]. A [http://netlib.bell-labs.com/netlib/ampl/student/index.html student version of AMPL] is available for free which can handle problems with up to 300 variables or constraints.
+
This page contains a collection of '''Mixed Integer Nonlinear Programming (MINLP)''' test problems in [http://www.ampl.com/ AMPL]. A [http://netlib.bell-labs.com/netlib/ampl/student/index.html student version of AMPL] is available for free which can handle problems with up to 300 variables or constraints.
  
−
The integer variables, Special Ordered Sets and priorities are specified through an [int_format int file]. Note that the int file is not required by default as AMPL allows the definition of integer variables.
+
The integer variables, Special Ordered Sets and priorities are specified through an [http://www.mcs.anl.gov/~leyffer/MacMINLP/int_format int file]. Note that the int file is not required by default as AMPL allows the definition of integer variables.
  
 
In the Table below, the following column headings are used:
 
In the Table below, the following column headings are used:
  
−
{| border="border"
+
{| border="1" cellpadding="0" cellspacing="0"
 
|- align="left"
 
|- align="left"
 
! heading
 
! heading
Line 29: Line 29:
 
|-
 
|-
 
| convex
 
| convex
−
| (Y/N) depending on whether the problem is convex or not
+
| (Y/N) depending on whether the problem is convex or not; (Y*=pseudo-convex)
 
|-
 
|-
 
| '' f(x)''
 
| '' f(x)''
Line 38: Line 38:
 
|}
 
|}
  
−
The collection is available as a single [MacMINLP.tar.gz tar file] (simply gunzip and tar xf the file) or as individual problems below or as a [MacMINLP.nl.tar.gz collection of stub.nl files] which can be interpreted by an [http://www.ampl.com/hooking.html AMPL solver interface] and do not require the AMPL itself. A file with the [[MINLP AMPL commands]] used to run the problems is also available.
+
The collection is available as a single [MacMINLP.tar.gz tar file] (simply gunzip and tar xf the file) or as individual problems below or as a [http://www.mcs.anl.gov/~leyffer/MacMINLP/MacMINLP.nl.tar.gz collection of stub.nl files] which can be interpreted by an [http://www.ampl.com/hooking.html AMPL solver interface] and do not require the AMPL itself. You can also get all models and data files as a [http://www.mcs.anl.gov/~leyffer/MacMINLP/MacMINLP.tgz gzip'ed tar ball of the mod/dat files] and a file with the [[MINLP AMPL commands]] used to run the problems is also available.
  
 
Click on the NAME of the problem for a short description. The complete list of descriptions can be found in the [[MINLP Comments]]. Finally, a list of updates and changes to the AMPL files and the int files is [[MINLP Updates]].
 
Click on the NAME of the problem for a short description. The complete list of descriptions can be found in the [[MINLP Comments]]. Finally, a list of updates and changes to the AMPL files and the int files is [[MINLP Updates]].
  
−
{| border="border"
+
{| border="1" cellpadding="0" cellspacing="0"
 
|- align="left"
 
|- align="left"
 
! NAME
 
! NAME
Line 54: Line 54:
 
! '' f(x*)''
 
! '' f(x*)''
 
|-
 
|-
−
| [MINLP_Comments#batch|batch]
+
| [[MINLP Comments#batch|batch]]
 
|
 
|
−
[problems/batch.mod batch.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/batch.mod batch.mod]
 
| n/a
 
| n/a
 
|
 
|
−
[problems/batch.int batch.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/batch.int batch.int]
 
| OOR2-AN-46-73
 
| OOR2-AN-46-73
 
| align="right" | 24
 
| align="right" | 24
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| 285507
 
| 285507
 
|-
 
|-
−
| ''' [comments.html#c-reload-14 c-reload-14a] '''
+
| [[MINLP Comments#c-reload-14|c-reload-14a]]
 
|
 
|
−
[problems/c-reload.mod c-reload.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload.mod c-reload.mod]
 
|
 
|
−
[problems/c-reload-14a.dat c-reload-14a.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload-14a.dat c-reload-14a.dat]
 
|
 
|
−
[problems/c-reload.int c-reload.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload.int c-reload.int]
 
| OOR2-AN-342-308
 
| OOR2-AN-342-308
 
| align="right" | 168
 
| align="right" | 168
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| -1.00743
 
| -1.00743
 
|-
 
|-
−
| ''' [comments.html#c-reload-14 c-reload-14b] '''
+
| [[MINLP Comments#c-reload-14|c-reload-14b]]
 
|
 
|
−
[problems/c-reload.mod c-reload.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload.mod c-reload.mod]
 
|
 
|
−
[problems/c-reload-14b.dat c-reload-14b.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload-14b.dat c-reload-14b.dat]
 
|
 
|
−
[problems/c-reload.int c-reload.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload.int c-reload.int]
 
| LOR2-AN-342-308
 
| LOR2-AN-342-308
 
| align="right" | 168
 
| align="right" | 168
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| -1.02522
 
| -1.02522
 
|-
 
|-
−
| ''' [comments.html#c-reload-14 c-reload-14c] '''
+
| [[MINLP Comments#c-reload-14|c-reload-14c]]
 
|
 
|
−
[problems/c-reload.mod c-reload.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload.mod c-reload.mod]
 
|
 
|
−
[problems/c-reload-14c.dat c-reload-14c.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload-14c.dat c-reload-14c.dat]
 
|
 
|
−
[problems/c-reload.int c-reload.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload.int c-reload.int]
 
| LOR2-AN-342-308
 
| LOR2-AN-342-308
 
| align="right" | 168
 
| align="right" | 168
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| -0.99988
 
| -0.99988
 
|-
 
|-
−
| ''' [comments.html#c-reload-14 c-reload-14d] '''
+
| [[MINLP Comments#c-reload-14|c-reload-14d]]
 
|
 
|
−
[problems/c-reload.mod c-reload.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload.mod c-reload.mod]
 
|
 
|
−
[problems/c-reload-14d.dat c-reload-14d.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload-14d.dat c-reload-14d.dat]
 
|
 
|
−
[problems/c-reload.int c-reload.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload.int c-reload.int]
 
| LOR2-AN-342-308
 
| LOR2-AN-342-308
 
| align="right" | 168
 
| align="right" | 168
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| -1.03405
 
| -1.03405
 
|-
 
|-
−
| ''' [comments.html#c-reload-14 c-reload-14e] '''
+
| [[MINLP Comments#c-reload-14|c-reload-14e]]
 
|
 
|
−
[problems/c-reload.mod c-reload.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload.mod c-reload.mod]
 
|
 
|
−
[problems/c-reload-14e.dat c-reload-14e.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload-14e.dat c-reload-14e.dat]
 
|
 
|
−
[problems/c-reload.int c-reload.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload.int c-reload.int]
 
| LOR2-AN-342-308
 
| LOR2-AN-342-308
 
| align="right" | 168
 
| align="right" | 168
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| -1.03306
 
| -1.03306
 
|-
 
|-
−
| ''' [comments.html#c-reload-14 c-reload-14f] '''
+
| [[MINLP Comments#c-reload-14|c-reload-14f]]
 
|
 
|
−
[problems/c-reload.mod c-reload.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload.mod c-reload.mod]
 
|
 
|
−
[problems/c-reload-14f.dat c-reload-14f.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload-14f.dat c-reload-14f.dat]
 
|
 
|
−
[problems/c-reload.int c-reload.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload.int c-reload.int]
 
| LOR2-AN-342-308
 
| LOR2-AN-342-308
 
| align="right" | 168
 
| align="right" | 168
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| -1.01784
 
| -1.01784
 
|-
 
|-
−
| ''' [comments.html#c-reload-q c-reload-q-24]'''
+
| [[MINLP Comments#c-reload-q|c-reload-q-24]]
 
|
 
|
−
[problems/c-reload-q.mod c-reload-q.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload-q.mod c-reload-q.mod]
 
|
 
|
−
[problems/c-reload-q-24.dat c-reload-q-24.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload-q-24.dat c-reload-q-24.dat]
 
| n/a
 
| n/a
 
| LOR2-AN-968-632
 
| LOR2-AN-968-632
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| -1.12795
 
| -1.12795
 
|-
 
|-
−
| ''' [comments.html#c-reload-q c-reload-q-25]'''
+
| [[MINLP Comments#c-reload-q|c-reload-q-25]]
 
|
 
|
−
[problems/c-reload-q.mod c-reload-q.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload-q.mod c-reload-q.mod]
 
|
 
|
−
[problems/c-reload-q-25.dat c-reload-q-25.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload-q-25.dat c-reload-q-25.dat]
 
| n/a
 
| n/a
 
| LOR2-AN-1033-658
 
| LOR2-AN-1033-658
Line 168: Line 168:
 
| ?
 
| ?
 
|-
 
|-
−
| ''' [comments.html#c-reload-q c-reload-q-49]'''
+
| [[MINLP Comments#c-reload-q|c-reload-q-49]]
 
|
 
|
−
[problems/c-reload-q.mod c-reload-q.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload-q.mod c-reload-q.mod]
 
|
 
|
−
[problems/c-reload-q-49.dat c-reload-q-49.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload-q-49.dat c-reload-q-49.dat]
 
| n/a
 
| n/a
 
| LOR2-AN-3292-1430
 
| LOR2-AN-3292-1430
Line 180: Line 180:
 
| ?
 
| ?
 
|-
 
|-
−
| ''' [comments.html#c-reload-q c-reload-q-104]'''
+
| [[MINLP Comments#c-reload-q|c-reload-q-104]]
 
|
 
|
−
[problems/c-reload-q.mod c-reload-q.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload-q.mod c-reload-q.mod]
 
|
 
|
−
[problems/c-reload-q-104.dat c-reload-q-104.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-reload-q-104.dat c-reload-q-104.dat]
 
| n/a
 
| n/a
 
| LOR2-AN-12906-3338
 
| LOR2-AN-12906-3338
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| ?
 
| ?
 
|-
 
|-
−
| ''' [comments.html#c-sched c-sched1]'''
+
| [[MINLP Comments#c-sched|c-sched1]]
 
|
 
|
−
[problems/c-sched.mod c-sched.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-sched.mod c-sched.mod]
 
|
 
|
−
[problems/c-sched1.dat c-sched1.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-sched1.dat c-sched1.dat]
 
|
 
|
−
[problems/c-sched1.int c-sched1.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-sched1.int c-sched1.int]
 
| OLR2-AN-73-16
 
| OLR2-AN-73-16
 
| align="right" | 60
 
| align="right" | 60
−
| align="center" | Y
+
| align="center" | Y*
 
| -30640.6
 
| -30640.6
 
| -30639.3
 
| -30639.3
 
|-
 
|-
−
| ''' [comments.html#c-sched c-sched2]'''
+
| [[MINLP Comments#c-sched|c-sched2]]
 
|
 
|
−
[problems/c-sched.mod c-sched.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-sched.mod c-sched.mod]
 
|
 
|
−
[problems/c-sched2.dat c-sched2.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-sched2.dat c-sched2.dat]
 
|
 
|
−
[problems/c-sched2.int c-sched2.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/c-sched2.int c-sched2.int]
 
| OLR2-AN-400-137
 
| OLR2-AN-400-137
 
| align="right" | 308
 
| align="right" | 308
−
| align="center" | Y
+
| align="center" | Y*
 
| -166247
 
| -166247
 
| -166102
 
| -166102
 
|-
 
|-
−
| ''' [comments.html#feedloc feedloc] '''
+
| [[MINLP Comments#feedloc|feedloc]]
 
|
 
|
−
[problems/feedloc.mod feedloc.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/feedloc.mod feedloc.mod]
 
| n/a
 
| n/a
 
|
 
|
−
[problems/feedloc.int feedloc.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/feedloc.int feedloc.int]
 
| LOR2-AN-90-259
 
| LOR2-AN-90-259
 
| align="right" | 37
 
| align="right" | 37
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| 0.0
 
| 0.0
 
|-
 
|-
−
| ''' [comments.html#geartrain geartrain] '''
+
| [[MINLP Comments#geartrain|geartrain]]
 
|
 
|
−
[problems/geartrain.mod geartrain.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/geartrain.mod geartrain.mod]
 
| n/a
 
| n/a
 
| n/a
 
| n/a
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| 7.77863E-07
 
| 7.77863E-07
 
|-
 
|-
−
| ''' [comments.html#lbti-00 lbti-00-15] '''
+
| [[MINLP Comments#lbti-00|lbti-00-15]]
 
|
 
|
−
[problems/lbti-00.mod lbti-00.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/lbti-00.mod lbti-00.mod]
 
|
 
|
−
[problems/lbti-00-15.dat lbti-00-15.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/lbti-00-15.dat lbti-00-15.dat]
 
| n/a
 
| n/a
 
| OOR2-AN-274-402
 
| OOR2-AN-274-402
Line 253: Line 253:
 
| 0.988
 
| 0.988
 
|-
 
|-
−
| ''' [comments.html#lbti-00 lbti-00-20] '''
+
| [[MINLP Comments#lbti-00|lbti-00-20]]
 
|
 
|
−
[problems/lbti-00.mod lbti-00.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/lbti-00.mod lbti-00.mod]
 
|
 
|
−
[problems/lbti-00-20.dat lbti-00-20.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/lbti-00-20.dat lbti-00-20.dat]
 
| n/a
 
| n/a
 
| OOR2-AN-274-402
 
| OOR2-AN-274-402
Line 265: Line 265:
 
| 0.988
 
| 0.988
 
|-
 
|-
−
| ''' [comments.html#lbti-00 lbti-00-40] '''
+
| [[MINLP Comments#lbti-00|lbti-00-40]]
 
|
 
|
−
[problems/lbti-00.mod lbti-00.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/lbti-00.mod lbti-00.mod]
 
|
 
|
−
[problems/lbti-00-40.dat lbti-00-40.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/lbti-00-40.dat lbti-00-40.dat]
 
| n/a
 
| n/a
 
| OOR2-AN-274-402
 
| OOR2-AN-274-402
Line 277: Line 277:
 
| 0.988
 
| 0.988
 
|-
 
|-
−
| ''' [comments.html#lbti-01 lbti-01-15] '''
+
| [[MINLP Comments#lbti-01|lbti-01-15]]
 
|
 
|
−
[problems/lbti-01.mod lbti-01.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/lbti-01.mod lbti-01.mod]
 
|
 
|
−
[problems/lbti-01-15.dat lbti-01-15.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/lbti-01-15.dat lbti-01-15.dat]
 
| n/a
 
| n/a
 
| OOR2-AN-334-502
 
| OOR2-AN-334-502
Line 289: Line 289:
 
| 0.983
 
| 0.983
 
|-
 
|-
−
| ''' [comments.html#lbti-01 lbti-01-20] '''
+
| [[MINLP Comments#lbti-01|lbti-01-20]]
 
|
 
|
−
[problems/lbti-01.mod lbti-01.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/lbti-01.mod lbti-01.mod]
 
|
 
|
−
[problems/lbti-01-20.dat lbti-01-20.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/lbti-01-20.dat lbti-01-20.dat]
 
| n/a
 
| n/a
 
| OOR2-AN-334-502
 
| OOR2-AN-334-502
Line 301: Line 301:
 
| 0.983
 
| 0.983
 
|-
 
|-
−
| ''' [comments.html#lbti-01 lbti-01-40] '''
+
| [[MINLP Comments#lbti-01|lbti-01-40]]
 
|
 
|
−
[problems/lbti-01.mod lbti-01.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/lbti-01.mod lbti-01.mod]
 
|
 
|
−
[problems/lbti-01-40.dat lbti-01-40.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/lbti-01-40.dat lbti-01-40.dat]
 
| n/a
 
| n/a
 
| OOR2-AN-334-502
 
| OOR2-AN-334-502
Line 313: Line 313:
 
| 0.983
 
| 0.983
 
|-
 
|-
−
| ''' [comments.html#lbti-02 lbti-02-297] '''
+
| [[MINLP Comments#lbti-02|lbti-02-297]]
 
|
 
|
−
[problems/lbti-02.mod lbti-02.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/lbti-02.mod lbti-02.mod]
 
|
 
|
−
[problems/lbti-02-297.dat lbti-02-297.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/lbti-02-297.dat lbti-02-297.dat]
 
| n/a
 
| n/a
 
| QOR2-AN-7101-13004
 
| QOR2-AN-7101-13004
Line 325: Line 325:
 
| 1.21
 
| 1.21
 
|-
 
|-
−
| ''' [comments.html#mittelman mittelman] '''
+
| [[MINLP Comments#mittelman|mittelman]]
 
|
 
|
−
[problems/mittelman.mod mittelman.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/mittelman.mod mittelman.mod]
 
| n/a
 
| n/a
 
| n/a
 
| n/a
Line 336: Line 336:
 
| 13.0000
 
| 13.0000
 
|-
 
|-
−
| ''' [comments.html#optprloc optprloc] '''
+
| [[MINLP Comments#optprloc|optprloc]]
 
|
 
|
−
[problems/optprloc.mod optprloc.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/optprloc.mod optprloc.mod]
 
| n/a
 
| n/a
 
| n/a
 
| n/a
Line 347: Line 347:
 
| -8.06414
 
| -8.06414
 
|-
 
|-
−
| ''' [comments.html#space space-25] '''
+
| [[MINLP Comments#shale-gas|shale-gas-1]]
 +
|
 +
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/shale-gas.mod shale-gas.mod]
 +
|
 +
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/shale-gas-1.dat shale-gas-1.dat]
 +
| n/a
 +
| QQR2-AN-3252-6300
 +
| align="right" | 504
 +
| align="center" | N
 +
| -17.1575
 +
| ???
 +
|-
 +
|  [[MINLP Comments#shale-gas|shale-gas-2]]
 +
|
 +
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/shale-gas.mod shale-gas.mod]
 +
|
 +
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/shale-gas-2.dat shale-gas-2.dat]
 +
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| QQR2-AN-3252-6300
 +
| align="right" | 504
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| align="center" | N
 +
| -15.3774
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| 484.329
 
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|-
 
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| ''' [comments.html#space-r space-25-r] '''
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| [[MINLP Comments#space-r|space-25-r]]
 
|
 
|
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[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/space-25-r.mod space-25-r.mod]
 
|
 
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| LQR2-AN-818-160
 
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| 484.329
 
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| ''' [comments.html#space space-960] '''
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[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/space-960.mod space-960.mod]
 
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| LQR2-AN-15137-8417
 
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| ?
 
| ?
 
|-
 
|-
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| ''' [comments.html#space-i space-960-i] '''
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| [[MINLP Comments#space-i|space-960-i]]
 
|
 
|
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[problems/space-960-i.mod space-960-i.mod]
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[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/space-960-i.mod space-960-i.mod]
 
|
 
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| n/a
 
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| LQR2-AN-5537-6497
 
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| ?
 
| ?
 
|-
 
|-
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| ''' [comments.html#space-ir space-960-ir] '''
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| [[MINLP Comments#space-ir|space-960-ir]]
 
|
 
|
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[problems/space-960-ir.mod space-960-ir.mod]
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[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/space-960-ir.mod space-960-ir.mod]
 
|
 
|
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| n/a
 
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| LQR2-AN-2657-3617
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| ?
 
| ?
 
|-
 
|-
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| ''' [comments.html#space-r space-960-r] '''
+
| [[MINLP Comments#space-r|space-960-r]]
 
|
 
|
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[problems/space-960-r.mod space-960-r.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/space-960-r.mod space-960-r.mod]
 
|
 
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|
 
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[problems/space-960.int space-960.int]
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[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/space-960.int space-960.int]
 
| LQR2-AN-12257-5537
 
| LQR2-AN-12257-5537
 
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| ?
 
| ?
 
|-
 
|-
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| ''' [comments.html#spring spring] '''
+
| [[MINLP Comments#spring|spring]]
 
|
 
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+
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| n/a
 
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|
 
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| OOR2-AN-17-10
 
| OOR2-AN-17-10
 
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| 0.846246
 
| 0.846246
 
|-
 
|-
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| ''' [comments.html#stockcycle stockcycle] '''
+
| [[MINLP Comments#stockcycle|stockcycle]]
 
|
 
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[problems/stockcycle.mod stockcycle.mod]
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[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/stockcycle.mod stockcycle.mod]
 
| n/a
 
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|
 
|
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+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/stockcycle.int stockcycle.int]
 
| OLR2-AN-480-97
 
| OLR2-AN-480-97
 
| align="right" | 480
 
| align="right" | 480
 
| align="center" | Y
 
| align="center" | Y
 
| 117916
 
| 117916
−
| 121113 ?
+
| 119948
 
|-
 
|-
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| ''' [comments.html#synthes synthes1] '''
+
| [[MINLP Comments#synthes|synthes1]]
 
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|-
 
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| ''' [comments.html#synthes synthes2] '''
+
| [[MINLP Comments#synthes|synthes2]]
 
|
 
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[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/synthes2.mod synthes2.mod]
 
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| 73.0353
 
| 73.0353
 
|-
 
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| ''' [comments.html#synthes synthes3] '''
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| [[MINLP Comments#synthes|synthes3]]
 
|
 
|
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[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/synthes3.mod synthes3.mod]
 
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| 68.0097
 
| 68.0097
 
|-
 
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| ''' [comments.html#top1 top1-15x05] '''
+
| [[MINLP Comments#top1|top1-15x05]]
 
|
 
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+
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|
 
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+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/top.scl top.scl]
 
| OQR2-MN-260-186
 
| OQR2-MN-260-186
 
| align="right" | 75
 
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| NLP fail
 
| NLP fail
 
|-
 
|-
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| ''' [comments.html#top1 top1-30x10] '''
+
| [[MINLP Comments#top1|top1-30x10]]
 
|
 
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[problems/top.mod top.mod]
+
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|
 
|
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[problems/top.scl top.scl]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/top.scl top.scl]
 
| OQR2-MN-970-671
 
| OQR2-MN-970-671
 
| align="right" | 300
 
| align="right" | 300
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| ?
 
| ?
 
|-
 
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| ''' [comments.html#top1 top1-60x20] '''
+
| [[MINLP Comments#top1|top1-60x20]]
 
|
 
|
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[problems/top.mod top.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/top.mod top.mod]
 
|
 
|
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[problems/top1-60x20.dat top1-60x20.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/top1-60x20.dat top1-60x20.dat]
 
|
 
|
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[problems/top.scl top.scl]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/top.scl top.scl]
 
| OQR2-MN-3740-2541
 
| OQR2-MN-3740-2541
 
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| align="right" | 1200
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| ?
 
| ?
 
|-
 
|-
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| ''' [comments.html#trimlon trimlon2] '''
+
| [[MINLP Comments#trimlon|trimlon2]]
 
|
 
|
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[problems/trimlon.mod trimlon.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimlon.mod trimlon.mod]
 
|
 
|
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[problems/trimlon2.dat trimlon2.dat]
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[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimlon2.dat trimlon2.dat]
 
|
 
|
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[problems/trimlon.int trimlon.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimlon.int trimlon.int]
 
| LOR2-AN-8-12
 
| LOR2-AN-8-12
 
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| 5.3
 
| 5.3
 
|-
 
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| ''' [comments.html#trimlon trimlon4] '''
+
| [[MINLP Comments#trimlon|trimlon4]]
 
|
 
|
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[problems/trimlon.mod trimlon.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimlon.mod trimlon.mod]
 
|
 
|
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[problems/trimlon4.dat trimlon4.dat]
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[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimlon4.dat trimlon4.dat]
 
|
 
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[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimlon.int trimlon.int]
 
| LOR2-MN-24-26
 
| LOR2-MN-24-26
 
| align="right" | 24
 
| align="right" | 24
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| 11.3
 
| 11.3
 
|-
 
|-
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| ''' [comments.html#trimlon trimlon5] '''
+
| [[MINLP Comments#trimlon|trimlon5]]
 
|
 
|
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[problems/trimlon.mod trimlon.mod]
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[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimlon.mod trimlon.mod]
 
|
 
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[problems/trimlon5.dat trimlon5.dat]
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+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimlon.int trimlon.int]
 
| LOR2-MN-35-33
 
| LOR2-MN-35-33
 
| align="right" | 35
 
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| 12.1
 
| 12.1
 
|-
 
|-
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| ''' [comments.html#trimlon trimlon6] '''
+
| [[MINLP Comments#trimlon|trimlon6]]
 
|
 
|
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[problems/trimlon.mod trimlon.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimlon.mod trimlon.mod]
 
|
 
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[problems/trimlon6.dat trimlon6.dat]
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[problems/trimlon.int trimlon.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimlon.int trimlon.int]
 
| LOR2-MN-48-41
 
| LOR2-MN-48-41
 
| align="right" | 48
 
| align="right" | 48
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| 19.4
 
| 19.4
 
|-
 
|-
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| ''' [comments.html#trimlon trimlon7] '''
+
| [[MINLP Comments#trimlon|trimlon7]]
 
|
 
|
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[problems/trimlon.mod trimlon.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimlon.mod trimlon.mod]
 
|
 
|
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[problems/trimlon7.dat trimlon7.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimlon7.dat trimlon7.dat]
 
|
 
|
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+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimlon.int trimlon.int]
 
| LOR2-MN-63-42
 
| LOR2-MN-63-42
 
| align="right" | 63
 
| align="right" | 63
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| ?
 
| ?
 
|-
 
|-
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| ''' [comments.html#trimlon trimlon12] '''
+
| [[MINLP Comments#trimlon|trimlon12]]
 
|
 
|
−
[problems/trimlon.mod trimlon.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimlon.mod trimlon.mod]
 
|
 
|
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[problems/trimlon12.dat trimlon12.dat]
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|
 
|
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[problems/trimlon.int trimlon.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimlon.int trimlon.int]
 
| LOR2-MN-168-72
 
| LOR2-MN-168-72
 
| align="right" | 168
 
| align="right" | 168
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| ?
 
| ?
 
|-
 
|-
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| ''' [comments.html#trimloss trimloss2] '''
+
| [[MINLP Comments#trimloss|trimloss2]]
 
|
 
|
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[problems/trimloss.mod trimloss.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss.mod trimloss.mod]
 
|
 
|
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[problems/trimloss2.dat trimloss2.dat]
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[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss2.dat trimloss2.dat]
 
|
 
|
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+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss2.int trimloss2.int]
 
| LOR2-AN-37-24
 
| LOR2-AN-37-24
 
| align="right" | 31
 
| align="right" | 31
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| 5.3
 
| 5.3
 
|-
 
|-
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| ''' [comments.html#trimloss trimloss4] '''
+
| [[MINLP Comments#trimloss|trimloss4]]
 
|
 
|
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[problems/trimloss.mod trimloss.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss.mod trimloss.mod]
 
|
 
|
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[problems/trimloss4.dat trimloss4.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss4.dat trimloss4.dat]
 
|
 
|
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[problems/trimloss4.int trimloss4.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss4.int trimloss4.int]
 
| LOR2-MN-105-64
 
| LOR2-MN-105-64
 
| align="right" | 85
 
| align="right" | 85
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| 9.3
 
| 9.3
 
|-
 
|-
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| ''' [comments.html#trimloss trimloss5] '''
+
| [[MINLP Comments#trimloss|trimloss5]]
 
|
 
|
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[problems/trimloss.mod trimloss.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss.mod trimloss.mod]
 
|
 
|
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[problems/trimloss5.dat trimloss5.dat]
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|
 
|
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[problems/trimloss5.int trimloss5.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss5.int trimloss5.int]
 
| LOR2-MN-161-90
 
| LOR2-MN-161-90
 
| align="right" | 131
 
| align="right" | 131
 
| align="center" | Y
 
| align="center" | Y
 
| 1.1788683
 
| 1.1788683
−
| 12.4
+
| 10.3
 
|-
 
|-
−
| ''' [comments.html#trimloss trimloss6] '''
+
| [[MINLP Comments#trimloss|trimloss6]]
 
|
 
|
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[problems/trimloss.mod trimloss.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss.mod trimloss.mod]
 
|
 
|
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[problems/trimloss6.dat trimloss6.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss6.dat trimloss6.dat]
 
|
 
|
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[problems/trimloss6.int trimloss6.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss6.int trimloss6.int]
 
| LOR2-MN-215-120
 
| LOR2-MN-215-120
 
| align="right" | 173
 
| align="right" | 173
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| ?
 
| ?
 
|-
 
|-
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| ''' [comments.html#trimloss trimloss7] '''
+
| [[MINLP Comments#trimloss|trimloss7]]
 
|
 
|
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[problems/trimloss.mod trimloss.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss.mod trimloss.mod]
 
|
 
|
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[problems/trimloss7.dat trimloss7.dat]
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[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss7.dat trimloss7.dat]
 
|
 
|
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[problems/trimloss7.int trimloss7.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss7.int trimloss7.int]
 
| LOR2-MN-345-154
 
| LOR2-MN-345-154
 
| align="right" | 289
 
| align="right" | 289
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| ?
 
| ?
 
|-
 
|-
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| ''' [comments.html#trimloss trimloss12] '''
+
| [[MINLP Comments#trimloss|trimloss12]]
 
|
 
|
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[problems/trimloss.mod trimloss.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss.mod trimloss.mod]
 
|
 
|
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[problems/trimloss12.dat trimloss12.dat]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss12.dat trimloss12.dat]
 
|
 
|
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[problems/trimloss12.int trimloss12.int]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/trimloss12.int trimloss12.int]
 
| LOR2-MN-800-372
 
| LOR2-MN-800-372
 
| align="right" | 656
 
| align="right" | 656
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| ?
 
| ?
 
|-
 
|-
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| ''' [comments.html#wind-fac wind-fac] '''
+
| [[MINLP Comments#wind-fac|wind-fac]]
 
|
 
|
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[problems/wind-fac.mod wind-fac.mod]
+
[http://www.mcs.anl.gov/~leyffer/MacMINLP/problems/wind-fac.mod wind-fac.mod]
 
| n/a
 
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|+ align="bottom" | '''MacMINLP: ampl collection of MINLP Test Problems'''
+
|+ align="bottom" | MacMINLP: ampl collection of MINLP Test Problems
 
|}
 
|}

Latest revision as of 08:21, 21 July 2015

This page contains a collection of Mixed Integer Nonlinear Programming (MINLP) test problems in AMPL. A student version of AMPL is available for free which can handle problems with up to 300 variables or constraints.

The integer variables, Special Ordered Sets and priorities are specified through an int file. Note that the int file is not required by default as AMPL allows the definition of integer variables.

In the Table below, the following column headings are used:

heading meaning
NAME the name of the problem, click for a short reference
mod file the corresponding ampl model file
dat file the corresponding ampl data file
int file the corresponding [int_format integer file]
CUTE classification Classification as Nonlinear Program (NLP)
#int the number of integer variables
convex (Y/N) depending on whether the problem is convex or not; (Y*=pseudo-convex)
f(x) objective value of NLP relaxation
f(x*) optimal objective value or best solution found

The collection is available as a single [MacMINLP.tar.gz tar file] (simply gunzip and tar xf the file) or as individual problems below or as a collection of stub.nl files which can be interpreted by an AMPL solver interface and do not require the AMPL itself. You can also get all models and data files as a gzip'ed tar ball of the mod/dat files and a file with the MINLP AMPL commands used to run the problems is also available.

Click on the NAME of the problem for a short description. The complete list of descriptions can be found in the MINLP Comments. Finally, a list of updates and changes to the AMPL files and the int files is MINLP Updates.

NAME mod file dat file int file CUTE classification #int convex f(x) f(x*)
batch

batch.mod

n/a

batch.int

OOR2-AN-46-73 24 Y 259180 285507
c-reload-14a

c-reload.mod

c-reload-14a.dat

c-reload.int

OOR2-AN-342-308 168 N -1.00752 -1.00743
c-reload-14b

c-reload.mod

c-reload-14b.dat

c-reload.int

LOR2-AN-342-308 168 N -1.0253 -1.02522
c-reload-14c

c-reload.mod

c-reload-14c.dat

c-reload.int

LOR2-AN-342-308 168 N -0.99595 -0.99988
c-reload-14d

c-reload.mod

c-reload-14d.dat

c-reload.int

LOR2-AN-342-308 168 N -1.0340 -1.03405
c-reload-14e

c-reload.mod

c-reload-14e.dat

c-reload.int

LOR2-AN-342-308 168 N -1.0326 -1.03306
c-reload-14f

c-reload.mod

c-reload-14f.dat

c-reload.int

LOR2-AN-342-308 168 N -1.0172 -1.01784
c-reload-q-24

c-reload-q.mod

c-reload-q-24.dat

n/a LOR2-AN-968-632 576 N -1.12795 -1.12795
c-reload-q-25

c-reload-q.mod

c-reload-q-25.dat

n/a LOR2-AN-1033-658 625 N ? ?
c-reload-q-49

c-reload-q.mod

c-reload-q-49.dat

n/a LOR2-AN-3292-1430 2401 N ? ?
c-reload-q-104

c-reload-q.mod

c-reload-q-104.dat

n/a LOR2-AN-12906-3338 10816 N ? ?
c-sched1

c-sched.mod

c-sched1.dat

c-sched1.int

OLR2-AN-73-16 60 Y* -30640.6 -30639.3
c-sched2

c-sched.mod

c-sched2.dat

c-sched2.int

OLR2-AN-400-137 308 Y* -166247 -166102
feedloc

feedloc.mod

n/a

feedloc.int

LOR2-AN-90-259 37 N 0.0 0.0
geartrain

geartrain.mod

n/a n/a OBR2-AN-4-0 4 Y 9.23355E-11 7.77863E-07
lbti-00-15

lbti-00.mod

lbti-00-15.dat

n/a OOR2-AN-274-402 169 N ? 0.988
lbti-00-20

lbti-00.mod

lbti-00-20.dat

n/a OOR2-AN-274-402 169 N ? 0.988
lbti-00-40

lbti-00.mod

lbti-00-40.dat

n/a OOR2-AN-274-402 169 N ? 0.988
lbti-01-15

lbti-01.mod

lbti-01-15.dat

n/a OOR2-AN-334-502 229 N ? 0.983
lbti-01-20

lbti-01.mod

lbti-01-20.dat

n/a OOR2-AN-334-502 229 N ? 0.983
lbti-01-40

lbti-01.mod

lbti-01-40.dat

n/a OOR2-AN-334-502 229 N ? 0.983
lbti-02-297

lbti-02.mod

lbti-02-297.dat

n/a QOR2-AN-7101-13004 6702 N ? 1.21
mittelman

mittelman.mod

n/a n/a OOR2-AN-16-7 16 N 5.02361 13.0000
optprloc

optprloc.mod

n/a n/a QQR2-AN-30-29 25 Y -16.4198 -8.06414
shale-gas-1

shale-gas.mod

shale-gas-1.dat

n/a QQR2-AN-3252-6300 504 N -17.1575 ???
shale-gas-2

shale-gas.mod

shale-gas-2.dat

n/a QQR2-AN-3252-6300 504 N -15.3774 ???
space-25

space-25.mod

space-25.dat

space-25.int

LQR2-AN-893-235 750 N 483.811 484.329
space-25-r

space-25-r.mod

space-25-r.dat

space-25.int

LQR2-AN-818-160 750 N 483.811 484.329
space-960

space-960.mod

space-960.dat

space-960.int

LQR2-AN-15137-8417 9600 N ? ?
space-960-i

space-960-i.mod

space-960-i.dat

n/a LQR2-AN-5537-6497 960 N ? ?
space-960-ir

space-960-ir.mod

space-960-ir.dat

n/a LQR2-AN-2657-3617 960 N ? ?
space-960-r

space-960-r.mod

space-960-r.dat

space-960.int

LQR2-AN-12257-5537 9600 N ? ?
spring

spring.mod

n/a

spring.int

OOR2-AN-17-10 11 N 0.832025 0.846246
stockcycle

stockcycle.mod

n/a

stockcycle.int

OLR2-AN-480-97 480 Y 117916 119948
synthes1

synthes1.mod

n/a n/a OOR2-AN-6-6 3 Y 0.759284 6.00976
synthes2

synthes2.mod

n/a n/a OOR2-AN-11-14 5 Y -0.554417 73.0353
synthes3

synthes3.mod

n/a n/a OOR2-AN-17-19 8 Y 15.0822 68.0097
top1-15x05

top.mod

top1-15x05.dat

top.scl

OQR2-MN-260-186 75 N 203.343 NLP fail
top1-30x10

top.mod

top1-30x10.dat

top.scl

OQR2-MN-970-671 300 N 202.92 ?
top1-60x20

top.mod

top1-60x20.dat

top.scl

OQR2-MN-3740-2541 1200 N ? ?
trimlon2

trimlon.mod

trimlon2.dat

trimlon.int

LOR2-AN-8-12 8 N 4.06375 5.3
trimlon4

trimlon.mod

trimlon4.dat

trimlon.int

LOR2-MN-24-26 24 N 7.66333 11.3
trimlon5

trimlon.mod

trimlon5.dat

trimlon.int

LOR2-MN-35-33 35 N 9.664 12.1
trimlon6

trimlon.mod

trimlon6.dat

trimlon.int

LOR2-MN-48-41 48 N 14.6913 19.4
trimlon7

trimlon.mod

trimlon7.dat

trimlon.int

LOR2-MN-63-42 63 N 13.6507 ?
trimlon12

trimlon.mod

trimlon12.dat

trimlon.int

LOR2-MN-168-72 168 N 85.3546 ?
trimloss2

trimloss.mod

trimloss2.dat

trimloss2.int

LOR2-AN-37-24 31 Y 0.718306 5.3
trimloss4

trimloss.mod

trimloss4.dat

trimloss4.int

LOR2-MN-105-64 85 Y 1.70933 9.3
trimloss5

trimloss.mod

trimloss5.dat

trimloss5.int

LOR2-MN-161-90 131 Y 1.1788683 10.3
trimloss6

trimloss.mod

trimloss6.dat

trimloss6.int

LOR2-MN-215-120 173 Y 1.30565 ?
trimloss7

trimloss.mod

trimloss7.dat

trimloss7.int

LOR2-MN-345-154 289 Y 0.593496 ?
trimloss12

trimloss.mod

trimloss12.dat

trimloss12.int

LOR2-MN-800-372 656 Y 2.31187 ?
wind-fac

wind-fac.mod

n/a n/a LOR2-AN-15-14 3 N 0.118262 0.254487
MacMINLP: ampl collection of MINLP Test Problems
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