MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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This page lists all MINLPLib instances. Properties of all instances are also available in raw form (csv). Additionally, it is possible to

Number of instances: 1613
Feasibility tolerance: 1e-08 (points with infeasibility of at least 1e-08 are not shown on this page)
Optimality tolerance: 1e-09 (points with objective value difference below 1e-09 are considered equally good)
Gap tolerance: 1e-06 (dual bounds within 1e-06 of primal bound indicate instance as solved)

Removed Instances:

Name Removal Date Reason
abel 16 Feb 2022 Instance is continuous and convex
arki0001 16 Feb 2022 Instance is continuous and convex
arki0007 28 Feb 2022 Numerically very bad formulation (coefficients of order 1e-21).
arki0008 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E12 in front of exp())
arki0022 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E-11 in front of log())
arki0023 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E-11 in front of log())
arki0024 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E-14)
autocorr_bern35-35 16 Feb 2022 Bug in original model found, fixed version available as autocorr_bern35-35fix
bayes2_10 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E-11)
bchoco05 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E-10 and 1E7)
bchoco06 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E-10 and 1E8)
bchoco07 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E-10 and 1E9)
bchoco08 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E-10 and 1E10)
bearing 16 Feb 2022 Difficult numerical behavior. Optimal value changes by > 2% when increasing feasibility tolerance.
camcge 14 Aug 2014 Optimization variant of camcns, but having only one solution
circle 16 Feb 2022 Instance is continuous and easily recognized as SOCP
clay0203h 16 Feb 2022 Superseded by clay0203hfsg
clay0204h 16 Feb 2022 Superseded by clay0204hfsg
clay0205h 16 Feb 2022 Superseded by clay0205hfsg
clay0303h 16 Feb 2022 Superseded by clay0303hfsg
clay0304h 16 Feb 2022 Superseded by clay0304hfsg
clay0305h 16 Feb 2022 Superseded by clay0305hfsg
detf1 06 Aug 2012 Duplicate of saa_2
enpro48 31 May 2014 Variant of enpro48pb with some variable bounds missing
enpro56 31 May 2014 Variant of enpro56pb with some variable bounds missing
ethanolh 28 Feb 2022 Use of eps in original GAMS model probably a bug.
ethanolm 28 Feb 2022 Use of eps in original GAMS model probably a bug.
ex3 31 May 2014 Variant of ex3pb with some variable bounds missing
ex8_2_1 14 Aug 2014 Variant of ex8_2_1b with some variable bounds missing and x57 and x58 not substituted out
ex8_2_1a 14 Aug 2014 Variant of ex8_2_1b with x57 and x58 not substituted out
ex8_2_2 14 Aug 2014 Variant of ex8_2_2b with some variable bounds missing and x7512..x7523 not substituted out
ex8_2_2a 14 Aug 2014 Variant of ex8_2_2b with x7512..x7523 not substituted out
ex8_2_2b 28 Feb 2022 Numerically very bad formulation (coefficients of order 1e-14).
ex8_2_3 14 Aug 2014 Variant of ex8_2_3b with some variable bounds missing and x15683..x15642 not substituted out
ex8_2_3a 14 Aug 2014 Variant of ex8_2_3b with x15638..x15642 not substituted out
ex8_2_3b 28 Feb 2022 Numerically very bad formulation (coefficients of order 1e-17).
ex8_2_4 14 Aug 2014 Variant of ex8_2_4b with some variable bounds missing and x57..x62 not substituted out
ex8_2_4a 14 Aug 2014 Variant of ex8_2_4b with x57..x62 not substituted out
ex8_2_5 14 Aug 2014 Variant of ex8_2_5b with some variable bounds missing and x2512..x2535 not substituted out
ex8_2_5a 14 Aug 2014 Variant of ex8_2_5b with x2512..x2535 not substituted out
ex8_2_5b 28 Feb 2022 Numerically very bad formulation (coefficients of order 1e-13).
ex8_3_1 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E12 in front of exp())
ex8_3_10 15 Aug 2014 Objective function is singular (division by variable that can be 0)
ex8_3_11 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E12 in front of exp())
ex8_3_12 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E17 in front of exp())
ex8_3_14 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E16 in front of exp())
ex8_3_6 15 Aug 2014 Objective function is singular (division by variable that can be 0)
ex8_4_8 14 Aug 2014 Variant of ex8_4_8_bnd with some variable bounds missing
fdesign10 28 Feb 2022 Numerically too difficult for finite-precision solvers (coefficients of order 1e-16).
fdesign25 28 Feb 2022 Numerically too difficult for finite-precision solvers (coefficients of order 1e-18).
fdesign50 28 Feb 2022 Numerically too difficult for finite-precision solvers (coefficients of order 1e-18).
flowchan100 09 Feb 2015 Bug in original GAMS model had been found, fixed version available as flowchan100fix
flowchan100fix 28 Feb 2022 Underflow in original model lead to tiny coefficients and coefficients rounded to 0 (or GAMS eps).
flowchan200 09 Feb 2015 Bug in original GAMS model had been found, fixed version available as flowchan200fix
flowchan200fix 28 Feb 2022 Underflow in original model lead to tiny coefficients and coefficients rounded to 0 (or GAMS eps).
flowchan400 09 Feb 2015 Bug in original GAMS model had been found, fixed version available as flowchan400fix
flowchan400fix 28 Feb 2022 Underflow in original model lead to tiny coefficients and coefficients rounded to 0 (or GAMS eps).
flowchan50 09 Feb 2015 Bug in original GAMS model had been found, fixed version available as flowchan50fix
flowchan50fix 28 Feb 2022 Underflow in original model lead to tiny coefficients and coefficients rounded to 0 (or GAMS eps).
ganges 14 Aug 2014 Optimization variant of gancns, but having only one solution
gasnet_al1 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E-14)
gasnet_al2 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E-14)
gasnet_al3 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E-14)
gasnet_al4 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E-14)
gasnet_al5 01 Mar 2022 Numerically difficult formulation (coefficient of order 1E-14)
gtm 16 Feb 2022 Instance is continuous and convex.
harker 16 Feb 2022 Instance is continuous and convex.
immun 16 Feb 2022 Instance is continuous and convex.
jbearing100 16 Feb 2022 Instance is continuous and convex.
jbearing25 16 Feb 2022 Instance is continuous and convex.
jbearing50 16 Feb 2022 Instance is continuous and convex.
jbearing75 16 Feb 2022 Instance is continuous and convex.
korcge 14 Aug 2014 Optimization variant of korcns, but having only one solution
linear 16 Feb 2022 Instance is continuous and convex.
meanvar 16 Feb 2022 Instance is continuous and convex.
meanvarxsc 01 Mar 2022 Very similar to meanvarx
minlphix 16 Feb 2022 Difficult numerical behavior. Optimal value changes sign and by several orders of magnitude when increasing feasibility tolerance.
minsurf100 27 Jul 2022 Instance is continuous and convex.
minsurf25 27 Jul 2022 Instance is continuous and convex.
minsurf50 27 Jul 2022 Instance is continuous and convex.
minsurf75 27 Jul 2022 Instance is continuous and convex.
nuclear24 17 Feb 2013 Duplicate of nuclear14
nuclear24a 17 Feb 2013 Duplicate of nuclear14a
nuclear24b 17 Feb 2013 Duplicate of nuclear14b
parabol5_2_1 16 Feb 2022 Instance is continuous and convex.
pollut 16 Feb 2022 Instance is continuous and convex.
procsyn 16 Feb 2022 Instance is continuous and convex.
pump 04 Mar 2014 Duplicate of ex1252a
qp1 14 Aug 2014 Duplicate of qp2
qp2 16 Feb 2022 Instance is continuous and convex.
qp4 16 Feb 2022 Instance is continuous and convex.
qp5 14 Aug 2014 Instance is purely linear (approximation of qp4)
ravem 31 May 2014 Variant of ravempb with some variable bounds missing
risk2b 31 May 2014 Variant of risk2bpb with some variable bounds missing
robot100 16 Feb 2022 Formulation seems unbounded, while model should be bounded (minimizes time).
robot200 16 Feb 2022 Formulation seems unbounded, while model should be bounded (minimizes time).
robot400 16 Feb 2022 Formulation seems unbounded, while model should be bounded (minimizes time).
robot50 16 Feb 2022 Formulation seems unbounded, while model should be bounded (minimizes time).
rsyn0805h 16 Feb 2022 Superseded by rsyn0805hfsg.
rsyn0805m02h 16 Feb 2022 Superseded by rsyn0805m02hfsg.
rsyn0805m03h 16 Feb 2022 Superseded by rsyn0805m03hfsg.
rsyn0805m04h 16 Feb 2022 Superseded by rsyn0805m04hfsg.
rsyn0810h 16 Feb 2022 Superseded by rsyn0810hfsg.
rsyn0810m02h 16 Feb 2022 Superseded by rsyn0810m02hfsg.
rsyn0810m03h 16 Feb 2022 Superseded by rsyn0810m03hfsg.
rsyn0810m04h 16 Feb 2022 Superseded by rsyn0810m04hfsg.
rsyn0815h 16 Feb 2022 Superseded by rsyn0815hfsg.
rsyn0815m02h 16 Feb 2022 Superseded by rsyn0815m02hfsg.
rsyn0815m03h 16 Feb 2022 Superseded by rsyn0815m03hfsg.
rsyn0815m04h 16 Feb 2022 Superseded by rsyn0815m04hfsg.
rsyn0820h 16 Feb 2022 Superseded by rsyn0820hfsg.
rsyn0820m02h 16 Feb 2022 Superseded by rsyn0820m02hfsg.
rsyn0820m03h 16 Feb 2022 Superseded by rsyn0820m03hfsg.
rsyn0820m04h 16 Feb 2022 Superseded by rsyn0820m04hfsg.
rsyn0830h 16 Feb 2022 Superseded by rsyn0830hfsg.
rsyn0830m02h 16 Feb 2022 Superseded by rsyn0830m02hfsg.
rsyn0830m03h 16 Feb 2022 Superseded by rsyn0830m03hfsg.
rsyn0830m04h 16 Feb 2022 Superseded by rsyn0830m04hfsg.
rsyn0840h 16 Feb 2022 Superseded by rsyn0840hfsg.
rsyn0840m02h 16 Feb 2022 Superseded by rsyn0840m02hfsg.
rsyn0840m03h 16 Feb 2022 Superseded by rsyn0840m03hfsg.
rsyn0840m04h 16 Feb 2022 Superseded by rsyn0840m04hfsg.
sambal 16 Feb 2022 Instance is continuous and convex.
sample 16 Feb 2022 Instance is continuous and convex.
ship 15 Aug 2014 Objective function is singular (division by variable that can be 0)
smallinvSNPr1b010-011 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr1b020-022 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr1b050-055 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr1b100-110 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr1b150-165 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr1b200-220 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr2b010-011 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr2b020-022 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr2b050-055 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr2b100-110 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr2b150-165 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr2b200-220 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr3b010-011 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr3b020-022 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr3b050-055 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr3b100-110 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr3b150-165 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr3b200-220 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr4b010-011 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr4b020-022 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr4b050-055 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr4b100-110 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr4b150-165 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr4b200-220 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr5b010-011 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr5b020-022 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr5b050-055 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr5b100-110 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr5b150-165 16 Feb 2022 Relevant loss in precision when original instances were produced.
smallinvSNPr5b200-220 16 Feb 2022 Relevant loss in precision when original instances were produced.
srcpm 16 Feb 2022 Instance is continuous and convex.
st_cqpf 16 Feb 2022 Instance is continuous and convex.
st_cqpjk1 16 Feb 2022 Instance is continuous and convex.
st_cqpjk2 16 Feb 2022 Instance is continuous and convex.
st_e17 16 Feb 2022 Instance is continuous and convex.
super1 16 Feb 2022 Numerically very bad formulation (coefficient of order 1e-13 in e1376).
super2 16 Feb 2022 Numerically very bad formulation (coefficient of order 1e-13 in e1376).
super3 16 Feb 2022 Numerically very bad formulation (coefficient of order 1e-13 in e1376).
syn05h 16 Feb 2022 Superseded by syn05hfsg.
syn05m02h 16 Feb 2022 Superseded by syn05m02hfsg.
syn05m03h 16 Feb 2022 Superseded by syn05m03hfsg.
syn05m04h 16 Feb 2022 Superseded by syn05m04hfsg.
syn10h 16 Feb 2022 Superseded by syn10hfsg.
syn10m02h 16 Feb 2022 Superseded by syn10m02hfsg.
syn10m03h 16 Feb 2022 Superseded by syn10m03hfsg.
syn10m04h 16 Feb 2022 Superseded by syn10m04hfsg.
syn15h 16 Feb 2022 Superseded by syn15hfsg.
syn15m02h 16 Feb 2022 Superseded by syn15m02hfsg.
syn15m03h 16 Feb 2022 Superseded by syn15m03hfsg.
syn15m04h 16 Feb 2022 Superseded by syn15m04hfsg.
syn20h 16 Feb 2022 Superseded by syn20hfsg.
syn20m02h 16 Feb 2022 Superseded by syn20m02hfsg.
syn20m03h 16 Feb 2022 Superseded by syn20m03hfsg.
syn20m04h 16 Feb 2022 Superseded by syn20m04hfsg.
syn30h 16 Feb 2022 Superseded by syn30hfsg.
syn30m02h 16 Feb 2022 Superseded by syn30m02hfsg.
syn30m03h 16 Feb 2022 Superseded by syn30m03hfsg.
syn30m04h 16 Feb 2022 Superseded by syn30m04hfsg.
syn40h 16 Feb 2022 Superseded by syn40hfsg.
syn40m02h 16 Feb 2022 Superseded by syn40m02hfsg.
syn40m03h 16 Feb 2022 Superseded by syn30m03hfsg.
syn40m04h 16 Feb 2022 Superseded by syn40m04hfsg.
turkey 16 Feb 2022 Instance is continuous and convex.
wall 16 Feb 2022 Bug in original GAMS model had been found, fixed version available as wallfix.
weapons 03 Mar 2022 Instance is continuous and convex.


Last updated: 2025-05-08 Git hash: 2f1d9c1a
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