MacMPEC ampl collection of Mathematical Programs with Equilibrium Constraints
Aug. 1, 2000; last update August 5, 2005 list of updates
This directory contains a collection of Mathematical Programs with Equilibrium Constraints (MPEC) test problems in AMPL. A student version of AMPL is available for free which can handle problems with up to 300 variables or constraints.
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 |
| classification | classification of the MPEC |
| solution | optimal objective value or best solution found; (I) if infeasible |
The collection is available as a single tar file (4.7Mb; date 20020709) (simply gunzip and tar xf the file) or as individual problems below. There is also a tar file (8.1Mb; date 20020709) of stub.nl files (again gunzip and tar xf the file) which can be interpreted by an AMPL solver interface and do not require the AMPL itself.
Click on the NAME of the problem for a short description. There is a complete list of descriptions as well as solutions to selected problems. Finally, the following link gives a list of updates and changes to the AMPL files.
| NAME | mod file | dat file | classification | solution |
|---|---|---|---|---|
| bar-truss-3 | bar-truss.mod | bar-truss-3.dat | LQR-MY-NCP-29-22-6 | 10166.6 |
| bard1 | bard1.mod | n/a | QLR-AY-NLP-5-1-3 | 17.0000 |
| bard2 | bard2.mod | n/a | QLR-AY-NLP-12-5-4 | -6598.00 |
| bard3 | bard3.mod | n/a | QLR-AY-NLP-6-3-2 | -12.6787 |
| bard1m | bard1m.mod | n/a | QLR-AY-NLP-5-1-4 | 17.0000 |
| bard2m | bard2m.mod | n/a | QLR-AY-NLP-12-1-8 | -6598.00 |
| bard3m | bard3m.mod | n/a | QLR-AY-NLP-6-1-4 | -12.6787 |
| bem-milanc30-s | b-pn2.mod | bem-milanc30-s.dat | SQR-MY-NCP-1972-505-1464 | 83.2825 |
| bilevel1 | bilevel1.mod | n/a | LLR-AY-LCP-10-9-6 | -60.0000 |
| bilevel1m | bilevel1m.mod | n/a | LLR-AY-LCP-8-7-6 | -55.0000 |
| bilevel2 | bilevel2.mod | n/a | QLR-AY-LCP-16-13-8 | -6600.00 |
| bilevel2m | bilevel2m.mod | n/a | QLR-AY-LCP-16-13-8 | -6600.00 |
| bilevel3 | bilevel3.mod | n/a | QLR-AY-LCP-12-7-4 | -12.6787 |
| bilin | bilin.mod | n/a | LLR-AY-NLP-8-1-6 | 5.6 |
| dempe | dempe.mod | n/a | QQR-AY-LCP-4-2-2 | 31.25 |
| design-cent-1 | design-cent-1.mod | design-cent-1.dat | QOR-AY-NLP-12-9-3 | 1.86065 |
| design-cent-2 | design-cent-2.mod | design-cent-2.dat | QOR-MY-NLP-13-13-3 | 3.48382 |
| design-cent-21 | design-cent-21.mod | design-cent-2.dat | QOR-MY-NLP-13-13-3 | 3.48382 |
| design-cent-3 | design-cent-3.mod | design-cent-3.dat | QOR-MY-NLP-15-9-3 | (I) |
| design-cent-31 | design-cent-31.mod | design-cent-3.dat | QOR-MY-NLP-15-9-3 | 3.72337 |
| design-cent-4 | design-cent-4.mod | design-cent-4.dat | QOR-AY-NLP-22-9-12 | 3.0792 |
| desilva | desilva.mod | n/a | QQR-AY-NCP-6-2-2 | -1.0 |
| df1 | df1.mod | n/a | QQR-AY-NCP-2-2-1 | 0.0 |
| ex9.1.1 | ex9.1.1.mod | n/a | LLR-AY-NLP-13-12-5 | -13.0 |
| ex9.1.2 | ex9.1.2.mod | n/a | LLR-AY-NLP-10-9-4 | -6.25 |
| ex9.1.3 | ex9.1.3.mod | n/a | LLR-AY-NLP-23-21-6 | -29.2 |
| ex9.1.4 | ex9.1.4.mod | n/a | LLR-AY-NLP-10-9-4 | -37.0 |
| ex9.1.5 | ex9.1.5.mod | n/a | LLR-AY-NLP-13-12-5 | -1.0 |
| ex9.1.6 | ex9.1.6.mod | n/a | LLR-AY-NLP-14-13-6 | -15.0 |
| ex9.1.7 | ex9.1.7.mod | n/a | LLR-AY-NLP-17-15-6 | -6.0 |
| ex9.1.8 | ex9.1.8.mod | n/a | LLR-AY-NLP-14-12-5 | -3.25 |
| ex9.1.9 | ex9.1.9.mod | n/a | LLR-AY-NLP-12-11-5 | 3.11111 |
| ex9.1.10 | ex9.1.10.mod | n/a | LLR-AY-NLP-14-12-5 | -3.25 |
| ex9.2.1 | ex9.2.1.mod | n/a | QLR-AY-NLP-10-9-4 | 25.0 |
| ex9.2.2 | ex9.2.2.mod | n/a | QLR-AY-NLP-10-11-4 | 100.0 |
| ex9.2.3 | ex9.2.3.mod | n/a | LLR-AY-NLP-16-16-6 | -55.0 |
| ex9.2.4 | ex9.2.4.mod | n/a | QLR-AY-NLP-8-7-2 | 0.5 |
| ex9.2.5 | ex9.2.5.mod | n/a | QLR-AY-NLP-8-7-3 | 9.0 |
| ex9.2.6 | ex9.2.6.mod | n/a | QLR-AY-NLP-16-12-6 | -1.0 |
| ex9.2.7 | ex9.2.7.mod | n/a | QLR-AY-NLP-10-9-4 | 25.0 |
| ex9.2.8 | ex9.2.8.mod | n/a | QLR-AY-NLP-6-5-2 | 1.5 |
| ex9.2.9 | ex9.2.9.mod | n/a | LLR-AY-NLP-9-8-3 | 2.0 |
| flp2 | flp2.mod | n/a | QLR-AN-LCP-4-2-2 | 0.0 |
| flp4-1 | flp4.mod | flp4-1.dat | QLR-AN-LCP-80-60-30 | 0.0 |
| flp4-2 | flp4.mod | flp4-2.dat | QLR-AN-LCP-110-110-60 | 0.0 |
| flp4-3 | flp4.mod | flp4-3.dat | QLR-AN-LCP-140-170-70 | 0.0 |
| flp4-4 | flp4.mod | flp4-4.dat | QLR-AN-LCP-200-250-100 | 0.0 |
| gnash10 | gnash1.mod | gnash10.dat | OOR-AY-LCP-13-4-8 | -230.823 |
| gnash11 | gnash1.mod | gnash11.dat | OOR-AY-LCP-13-4-8 | -129.912 |
| gnash12 | gnash1.mod | gnash12.dat | OOR-AY-LCP-13-4-8 | -36.9331 |
| gnash13 | gnash1.mod | gnash13.dat | OOR-AY-LCP-13-4-8 | -7.06178 |
| gnash14 | gnash1.mod | gnash14.dat | OOR-AY-LCP-13-4-8 | -0.179046 |
| gnash15 | gnash1.mod | gnash15.dat | OOR-AY-LCP-13-4-8 | -354.699 |
| gnash16 | gnash1.mod | gnash16.dat | OOR-AY-LCP-13-4-8 | -241.442 |
| gnash17 | gnash1.mod | gnash17.dat | OOR-AY-LCP-13-4-8 | -90.7491 |
| gnash18 | gnash1.mod | gnash18.dat | OOR-AY-LCP-13-4-8 | -25.6982 |
| gnash19 | gnash1.mod | gnash19.dat | OOR-AY-LCP-13-4-8 | -6.11671 |
| gnash10 | gnash1m.mod | gnash10.dat | OOR-AY-LCP-9-8-8 | -230.823 |
| gnash11m | gnash1m.mod | gnash11.dat | OOR-AY-LCP-9-8-8 | -129.912 |
| gnash12m | gnash1m.mod | gnash12.dat | OOR-AY-LCP-9-8-8 | -36.9331 |
| gnash13m | gnash1m.mod | gnash13.dat | OOR-AY-LCP-9-8-8 | -7.06178 |
| gnash14m | gnash1m.mod | gnash14.dat | OOR-AY-LCP-9-8-8 | -0.179046 |
| gnash15m | gnash1m.mod | gnash15.dat | OOR-AY-LCP-9-8-8 | -354.699 |
| gnash16m | gnash1m.mod | gnash16.dat | OOR-AY-LCP-9-8-8 | -241.442 |
| gnash17m | gnash1m.mod | gnash17.dat | OOR-AY-LCP-9-8-8 | -90.7491 |
| gnash18m | gnash1m.mod | gnash18.dat | OOR-AY-LCP-9-8-8 | -25.6982 |
| gnash19m | gnash1m.mod | gnash19.dat | OOR-AY-LCP-9-8-8 | -6.11671 |
| gauvin | gauvin.mod | n/a | QUR-AN-LCP-3-0-2 | 20.0 |
| hakonsen | hakonsen.mod | n/a | OOR-MY-NCP-9-8-4 | 24.3668 |
| hs044-i | hs044-i.mod | n/a | QLR-MY-NLP-20-14-10 | 15.6178 |
| incid-set1-8 | incid-set1.mod | incid-set-8.dat | LOR-MY-LCP-117-119-49 | 3.816E-17 |
| incid-set1-16 | incid-set1.mod | incid-set-16.dat | LOR-MY-LCP-485-491-225 | 1.206E-16 |
| incid-set1-32 | incid-set1.mod | incid-set-32.dat | LOR-MY-LCP-1989-2003-961 | 2.799E-07 |
| incid-set1c-8 | incid-set1c.mod | incid-set-8.dat | LOR-MY-LCP-117-126-49 | 3.816E-17 |
| incid-set1c-16 | incid-set1c.mod | incid-set-16.dat | LOR-MY-LCP-485-506-225 | 1.206E-16 |
| incid-set1c-32 | incid-set1c.mod | incid-set-32.dat | LOR-MY-LCP-1989-2034-961 | 9.817E-06 |
| incid-set2-8 | incid-set2.mod | incid-set-8.dat | LOR-MY-LCP-117-119-49 | 4.518E-03 |
| incid-set2-16 | incid-set2.mod | incid-set-16.dat | LOR-MY-LCP-485-491-225 | 3.036E-03 |
| incid-set2-32 | incid-set2.mod | incid-set-32.dat | LOR-MY-LCP-1989-2003-961 | 1.738E-03 |
| incid-set2c-8 | incid-set2c.mod | incid-set-8.dat | LOR-MY-LCP-117-126-49 | 5.471E-03 |
| incid-set2c-16 | incid-set2c.mod | incid-set-16.dat | LOR-MY-LCP-485-506-225 | 3.602E-03 |
| incid-set2c-32 | incid-set2c.mod | incid-set-32.dat | LOR-MY-LCP-1989-2034-961 | 2.433E-03 |
| jr1 | jr1.mod | n/a | QLR-AN-LCP-2-1-1 | 0.5 |
| jr2 | jr2.mod | n/a | QLR-AN-LCP-2-1-1 | 0.5 |
| kth1 | kth1.mod | n/a | LLR-AN-LCP-2-0-1 | 0 |
| kth2 | kth2.mod | n/a | QLR-AN-LCP-2-0-1 | 0 |
| kth3 | kth3.mod | n/a | QLR-AN-LCP-2-0-1 | 0.5 |
| liswet1-050 | liswet1-inv.mod | liswet1-050.dat | QLR-AN-NLP-152-103-50 | 1.399E-02 |
| liswet1-100 | liswet1-inv.mod | liswet1-100.dat | QLR-AN-NLP-302-203-100 | 1.373E-02 |
| liswet1-200 | liswet1-inv.mod | liswet1-200.dat | QLR-AN-NLP-602-403-200 | 1.701E-02 |
| monteiro | monteiro.mod | n/a | QLR-AY-LCP-136-139-62 | 37.53 |
| monteiroB | monteiroB.mod | n/a | QLR-AY-LCP-136-138-62 | 827.859 |
| nash1 | nash1.mod | nash1.dat | QLR-AY-LCP-6-2-2 | 7.88861E-30 |
| outrata31 | outrata31.mod | n/a | QUR-AN-NCP-5-0-4 | 3.2077 |
| outrata32 | outrata32.mod | n/a | QUR-AN-NCP-5-0-4 | 3.4494 |
| outrata33 | outrata33.mod | n/a | QUR-AN-NCP-5-0-4 | 4.60425 |
| outrata34 | outrata34.mod | n/a | QUR-AN-NCP-5-0-4 | 6.59268 |
| pack-comp1-8 | pack-comp1.mod | pack-comp-8.dat | LLR-AN-LCP-75-40-66 | 0.6 |
| pack-comp1-16 | pack-comp1.mod | pack-comp-16.dat | LLR-AN-LCP-332-151-315 | 0.616951 |
| pack-comp1-32 | pack-comp1.mod | pack-comp-32.dat | LLR-AN-LCP-1398-589-1365 | 0.652979 |
| pack-comp1c-8 | pack-comp1c.mod | pack-comp-8.dat | LLR-AN-LCP-75-47-66 | 0.6 |
| pack-comp1c-16 | pack-comp1c.mod | pack-comp-16.dat | LLR-AN-LCP-332-166-315 | 0.623043 |
| pack-comp1c-32 | pack-comp1c.mod | pack-comp-32.dat | LLR-AN-LCP-1398-620-1365 | 0.661443 |
| pack-comp1p-8 | pack-comp1p.mod | pack-comp-8.dat | LLR-AN-LCP-107-106-49 | 0.6 |
| pack-comp1p-16 | pack-comp1p.mod | pack-comp-16.dat | LLR-AN-LCP-467-466-225 | 0.616951 |
| pack-comp1p-32 | pack-comp1p.mod | pack-comp-32.dat | LLR-AN-LCP-1955-1954-961 | 0.652979 |
| pack-comp2-8 | pack-comp2.mod | pack-comp-8.dat | LLR-AN-LCP-75-40-66 | 0.673117 |
| pack-comp2-16 | pack-comp2.mod | pack-comp-16.dat | LLR-AN-LCP-332-151-315 | 0.727135 |
| pack-comp2-32 | pack-comp2.mod | pack-comp-32.dat | LLR-AN-LCP-1398-589-1365 | 0.782604 |
| pack-comp2c-8 | pack-comp2c.mod | pack-comp-8.dat | LLR-AN-LCP-75-47-66 | 0.673458 |
| pack-comp2c-16 | pack-comp2c.mod | pack-comp-16.dat | LLR-AN-LCP-332-166-315 | 0.727468 |
| pack-comp2c-32 | pack-comp2c.mod | pack-comp-32.dat | LLR-AN-LCP-1398-620-1365 | 0.782944 |
| pack-comp2p-8 | pack-comp2p.mod | pack-comp-8.dat | LLR-AN-LCP-107-106-49 | 0.673117 |
| pack-comp2p-16 | pack-comp2p.mod | pack-comp-16.dat | LLR-AN-LCP-467-466-225 | 0.727134 |
| pack-comp2p-32 | pack-comp2p.mod | pack-comp-32.dat | LLR-AN-LCP-1955-1954-961 | 0.782604 |
| pack-rig1-8 | pack-rig1.mod | pack-rig-8.dat | LLR-AN-LCP-49-29-40 | 0.787932 |
| pack-rig1-16 | pack-rig1.mod | pack-rig-16.dat | LLR-AN-LCP-209-99-192 | 0.826013 |
| pack-rig1-32 | pack-rig1.mod | pack-rig-32.dat | LLR-AN-LCP-865-521-832 | 0.850895 |
| pack-rig1c-8 | pack-rig1c.mod | pack-rig-8.dat | LLR-AN-LCP-49-36-40 | 0.7883 |
| pack-rig1c-16 | pack-rig1c.mod | pack-rig-16.dat | LLR-AN-LCP-209-148-192 | 0.826498 |
| pack-rig1c-32 | pack-rig1c.mod | pack-rig-32.dat | LLR-AN-LCP-865-552-832 | 0.851641 |
| pack-rig1p-8 | pack-rig1p.mod | pack-rig-8.dat | LLR-AN-LCP-58-20-58 | 0.787932 |
| pack-rig1p-16 | pack-rig1p.mod | pack-rig-16.dat | LLR-AN-LCP-242-121-225 | 0.826013 |
| pack-rig1p-32 | pack-rig1p.mod | pack-rig-32.dat | LLR-AN-LCP-994-497-961 | 0.850895 |
| pack-rig2-8 | pack-rig2.mod | pack-rig-8.dat | LLR-AN-LCP-49-29-40 | 0.780404 |
| pack-rig2-16 | pack-rig2.mod | pack-rig-16.dat | LLR-AN-LCP-209-99-192 | (I) |
| pack-rig2-32 | pack-rig2.mod | pack-rig-32.dat | LLR-AN-LCP-865-512-832 | (I) |
| pack-rig2c-8 | pack-rig2c.mod | pack-rig-8.dat | LLR-AN-LCP-49-36-40 | 0.799306 |
| pack-rig2c-16 | pack-rig2c.mod | pack-rig-16.dat | LLR-AN-LCP-209-148-192 | (I) |
| pack-rig2c-32 | pack-rig2c.mod | pack-rig-32.dat | LLR-AN-LCP-865-552-832 | (I) |
| pack-rig2p-8 | pack-rig2p.mod | pack-rig-8.dat | LLR-AN-LCP-58-20-58 | 0.780404 |
| pack-rig2p-16 | pack-rig2p.mod | pack-rig-16.dat | LLR-AN-LCP-242-121-225 | 1.08514 |
| pack-rig2p-32 | pack-rig2p.mod | pack-rig-32.dat | LLR-AN-LCP-994-497-961 | 1.13589 |
| pack-rig3-8 | pack-rig3.mod | pack-rig-8.dat | LLR-AN-LCP-49-29-40 | 0.735202 |
| pack-rig3-16 | pack-rig3.mod | pack-rig-16.dat | LLR-AN-LCP-209-99-192 | 0.800431 |
| pack-rig3-32 | pack-rig3.mod | pack-rig-32.dat | LLR-AN-LCP-865-512-832 | tba |
| pack-rig3c-8 | pack-rig3c.mod | pack-rig-8.dat | LLR-AN-LCP-49-36-40 | 0.753473 |
| pack-rig3c-16 | pack-rig3c.mod | pack-rig-16.dat | LLR-AN-LCP-209-148-192 | 0.8186 |
| pack-rig3c-32 | pack-rig3c.mod | pack-rig-32.dat | LLR-AN-LCP-865-552-832 | tba |
| portfl-i-1 | portfl-i.mod | portfl1.dat | QLR-AY-NLP-87-25-12 | 1.502E-5 |
| portfl-i-2 | portfl-i.mod | portfl2.dat | QLR-AY-NLP-87-25-12 | 1.457E-5 |
| portfl-i-3 | portfl-i.mod | portfl3.dat | QLR-AY-NLP-87-25-12 | 6.265E-6 |
| portfl-i-4 | portfl-i.mod | portfl4.dat | QLR-AY-NLP-87-25-12 | 2.177E-6 |
| portfl-i-6 | portfl-i.mod | portfl6.dat | QLR-AY-NLP-87-25-12 | 2.361E-6 |
| qpec-100-1 | qpecgen.mod | qpec-100-1.dat | QLR-AN-LCP-105-102-100 | 0.0990028 |
| qpec-100-2 | qpecgen.mod | qpec-100-2.dat | QLR-AN-LCP-110-102-100 | -6.26049 |
| qpec-100-3 | qpecgen.mod | qpec-100-3.dat | QLR-AN-LCP-110-104-100 | -5.48287 |
| qpec-100-4 | qpecgen.mod | qpec-100-4.dat | QLR-AN-LCP-120-104-100 | -3.60073 |
| qpec-200-1 | qpecgen.mod | qpec-200-1.dat | QLR-AN-LCP-210-204-200 | -1.93483 |
| qpec-200-2 | qpecgen.mod | qpec-200-2.dat | QLR-AN-LCP-220-204-200 | -24.0299 |
| qpec-200-3 | qpecgen.mod | qpec-200-3.dat | QLR-AN-LCP-220-208-200 | -1.95341 |
| qpec-200-4 | qpecgen.mod | qpec-200-4.dat | QLR-AN-LCP-240-208-200 | -6.19323 |
| qpec1 | qpec1.mod | n/a | QUR-AN-LCP-30-0-20 | 80.0 |
| qpec2 | qpec2.mod | n/a | QUR-AN-LCP-30-0-20 | 45.0 |
| ralph1 | ralph1.mod | n/a | LUR-AN-LCP-2-0-1 | 0.0 |
| ralph2 | ralph2.mod | n/a | QUR-AN-LCP-2-0-1 | 0.0 |
| ralphmod | ralphmod.mod | ralphmod.dat | QUR-AN-LCP-104-0-100 | -683.033 |
| scholtes1 | scholtes1.mod | n/a | QLR-AY-NCP-3-1-1 | 2.0 |
| scholtes2 | scholtes2.mod | n/a | QLR-AY-NCP-3-1-1 | 15.0 |
| scholtes3 | scholtes3.mod | n/a | QUR-AN-LCP-2-0-2 | 0.5 |
| scholtes4 | scholtes4.mod | n/a | LLR-AY-LCP-3-2-2 | -3.07336E-7 |
| scholtes5 | scholtes5.mod | n/a | QBR-AN-LCP-3-2-2 | 1.0 |
| siouxfls | tollmpec.mod | siouxfls.dat | LLR-MN-NCP-2402-627-1748 | -208.258 |
| siouxfls1 | tollmpec1.mod | siouxfls.dat | OLR-MN-NCP-2402-627-1748 | 979.386 |
| scale1 | scale1.mod | n/a | QLR-AY-LCP-2-0-1 | 1.0 |
| scale2 | scale2.mod | n/a | QLR-AY-LCP-2-0-1 | 1.0 |
| scale3 | scale3.mod | n/a | QLR-AY-LCP-2-0-1 | 1.0 |
| scale4 | scale4.mod | n/a | QLR-AY-LCP-2-0-1 | 1.0 |
| scale5 | scale5.mod | n/a | QLR-AY-LCP-2-0-1 | 100.0 |
| sl1 | sl1.mod | n/a | QLR-AY-LCP-8-2-3 | 0.0001 |
| stackelberg1 | stackelberg1.mod | n/a | QLR-AY-LCP-3-1-1 | -3266.67 |
| tap-09 | tap-09.mod | tap-09.dat | OOR-AY-NCP-86-68-32 | 109.143 |
| tap-15 | tap-15.mod | tap-15.dat | OOR-AY-NCP-194-167-83 | 184.295 |
| taxmcp | taxmcp.mod | n/a | LOR-AN-MCP-15-14-11 | 0.818705 |
| water-net | water-net.mod | water-net.dat | OOR-MY-LCP-52-22-13 | 929.169 |
| water-FL | water-net.mod | water-FL.dat | OOR-MY-LCP-169-72-33 | 3411.92 |
Maintained by Sven Leyffer
Email: leyffer@mcs.anl.gov
Last modified: August 5, 2005