MacMPEC

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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 individual problems below.

Click on the NAME of the problem for a short description. There is a complete list of descriptions & some solution values as well as pictures of solutions. You can also download a gzip'ed tar-ball with all problems and data files or a gzip'ed tar-ball with the stub.nl files.

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 0.0
bilevel1m

bilevel1m.mod

n/a LLR-AY-LCP-8-7-6 -55.0
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 18.4
dempe

dempe.mod

n/a QQR-AY-LCP-4-2-2 28.25
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 3.7237
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 -49.0
ex9.1.7

ex9.1.7.mod

n/a LLR-AY-NLP-17-15-6 -26.0
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 17.0
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 6.0
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 17.0
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
nash1a

nash1.mod

nash1a.dat

QLR-AY-LCP-6-2-2 7.88861E-30
nash1b

nash1.mod

nash1b.dat

QLR-AY-LCP-6-2-2 7.88861E-30
nash1c

nash1.mod

nash1c.dat

QLR-AY-LCP-6-2-2 7.88861E-30
nash1d

nash1.mod

nash1d.dat

QLR-AY-LCP-6-2-2 7.88861E-30
nash1e

nash1.mod

nash1e.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 -6.59074
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 -3.98212
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
TrafficSignalCycle

TrafficSignalCycle.mod

TSC-1.dat

LLR-AN-LCP-364-604-120 45.15
TrafficSignalCycle

TrafficSignalCycle.mod

TSC-2.dat

LLR-AN-LCP-364-604-120 42.12
TrafficSignalCycle

TrafficSignalCycle.mod

TSC-3.dat

LLR-AN-LCP-368-610-122 80.63
TrafficSignalCycle

TrafficSignalCycle.mod

TSC-4.dat

LLR-AN-LCP-368-610-122 75.02
TrafficSignalCycle

TrafficSignalCycle.mod

TSC-5.dat

LLR-AN-LCP-368-610-122 88.06
TrafficSignalCycle

TrafficSignalCycle.mod

TSC-6.dat

LLR-AN-LCP-368-610-122 89.75
TrafficSignalCycle

TrafficSignalCycle.mod

TSC-7.dat

LLR-AN-LCP-367-609-121 173.06
TrafficSignalCycle

TrafficSignalCycle.mod

TSC-8.dat

LLR-AN-LCP-367-609-121 177.72
TrafficSignalCycle

TrafficSignalCycle.mod

TSC-9.dat

LLR-AN-LCP-368-610-122 46.32
TrafficSignalCycle

TrafficSignalCycle.mod

TSC-10.dat

LLR-AN-LCP-368-610-122 48.71
TrafficSignalCycle

TrafficSignalCycle.mod

TSC-11.dat

LLR-AN-LCP-368-610-122 90.39
TrafficSignalCycle

TrafficSignalCycle.mod

TSC-12.dat

LLR-AN-LCP-368-610-122 130.57
TrafficSignalCycle

TrafficSignalCycle.mod

TSC-13.dat

LLR-AN-LCP-368-610-122 83.55
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
MacMPEC: ampl collection of MPEC test problems
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