MIPLIB 2010


MIP - Mixed-integer programs (not contained in MBP)

[Return to complete MIPLIB 2010 problem list]

Click here for legend of abbreviations and links to subsets

Status Name Sets C Rows Cols NZs Int Bin Con Objective AGG VBD PAR PAC COV CAR EQK BIN IVK KNA IKN M01 GEN
Easy 50v-10 C MIP 233 2013 2745 183 1464 366 3311.18                      X X
Easy atlanta-ip C MIP 21732 48738 257532 106 46667 1965 90.0099X X X     X     X X X X X
Easy buildingenergy C MIP 277594 154978 788969 26287 128691 33283.9X X                   X X
Easy dfn-gwin-UUM B MIP 158 938 2632 90 848 38752X                     X X
Hard ger50_17_trans CU MIP 499 22414 172035 18062 4352 7393.26                      X X
Easy germanrr C MIP 10779 10813 175547 5286 5288 239 4.70959e+07  X                   X X
Hard germany50-DBM C MIP 2526 8189 24479 88 8101 473840X                     X X
Easy ic97_potential C MIP 1046 728 3138 73 450 205 3942                      X X
Hard janos-us-DDM C MIP 760 2184 6384 84 2100 1.49271e+06X                     X X
Hard lrsa120 C MIP 14521 3839 39956 119 120 3600 Infeasible X X             X     X X
Easy mcsched B MIP 2107 1747 8088 14 1731 2 211913X X X X         X     X  
Easy mik-250-1-100-1 B MIP 151 251 5351 150 100 1 -66729                        X
Easy momentum2 U MIP 24237 3732 349695 1 1808 1923 12314.1  X X           X     X X
Open momentum3 CR MIP 56822 13532 949495 1 6598 6933 ? X X X           X     X X
Easy msc98-ip BR MIP 15850 21143 92918 53 20237 853 1.98395e+07X X X     X     X X X X X
Open n15-3 CR MIP 29494 153140 611000 780 152360 ?                       X X
Hard n3-3 C MIP 2425 9028 35380 366 8662 15915X                     X X
Easy n4-3 B MIP 1236 3596 14036 174 3422 8993X                     X X
Easy n9-3 C MIP 2364 7644 30072 252 7392 14409X                     X X
Open nag C MIP 5840 2884 26499 35 1350 1499 ? X X X                 X X
Open nb10tb CU MIP 150495 73340 1172289 2756 14124 56460 ? X X   X       X X X   X  
Easy noswot BT MIP 182 128 735 25 75 28 -41  X                 X   X
Open ns1456591 CT MIP 1997 8399 199862 19 8000 380 ?     X     X       X   X X
Open ns1631475 CR MIP 24496 22696 116733 211 22470 15 ?   X X     X           X X
Easy ns1766074 BIT MIP 182 100 666 90 10 Infeasible                     X   X
Status Name Sets C Rows Cols NZs Int Bin Con Objective AGG VBD PAR PAC COV CAR EQK BIN IVK KNA IKN M01 GEN
Open ns1905797 C MIP 51884 18192 239700 4 17676 512 ? X X X     X           X X
Open ns1905800 C MIP 8289 3228 38100 3 3030 195 ?   X X     X           X X
Open ns4-pr3 C MIP 2210 8601 25986 61 8540 ? X X                   X X
Open ns4-pr9 C MIP 2220 7350 22176 42 7308 ? X X                   X X
Easy ofi U MIP 422587 420434 1778754 11073 18632 390729 6.15538e+09X X X                 X  
Easy roll3000 B MIP 2295 1166 29386 492 246 428 12890  X   X X       X   X X X
Open sct1 C MIP 12154 22886 105571 1268 9044 12574 ?   X             X X   X  
Hard sct32 C MIP 5440 9767 109654 1332 6396 2039 -17.8876  X             X X   X  
Open sct5 CR MIP 13304 37265 147037 2302 20702 14261 ?   X             X X   X  
Hard shs1023 C MIP 133944 444625 1044725 440899 1296 2430 13136.6X X   X             X   X
Open splan1 CUX MIP 572800 1317382 5233840 1978 90810 1224594 ? X X   X   X     X X X X X
Easy timtab1 BT MIP 171 397 829 107 64 226 764772                      X X
Easy triptim1 BP MIP 15706 30055 515436 9597 20451 7 22.8681X X   X X       X       X
Hard triptim2 CR MIP 14427 27326 521898 6548 20771 7 12.0051X X X X X X     X       X
Easy triptim3 CR MIP 14939 28440 524124 6812 21621 7 13.5311X X X X X X     X       X
Open uc-case11 C MIP 51438 34134 202042 302 3898 29934 ? X X                   X  
Easy umts T MIP 4465 2947 23016 72 2802 73 3.00903e+07  X X   X X     X     X X
Status Name Sets C Rows Cols NZs Int Bin Con Objective AGG VBD PAR PAC COV CAR EQK BIN IVK KNA IKN M01 GEN

Legend

Problem Status

Easy Easy - instance can be solved within one hour using a commercial solver
Hard Hard - instance has been solved, but is not considered easy
Open Open - optimal solution to instance is unknown

Instance Set List

BBenchmark set
CChallenge set
IInfeasible set
PPrimal set
UUnstable set
R Reoptimize set
T Tree set
XXXL - extra large instances

Problem Type List

BPBinary Program - All variables are binary
IP Integer Program - All variables are integer
MBP Mixed Binary Program - All variables are binary or continuous
MIPMixed Integer Program - Variables can be integer or continuous

Note: The problem types are used to partition the instances. Instances that match more than one type are grouped into the least general set.

Problem Feasibility List

Feasible Problems - a feasible solution is known
Infeasible Problems - the problem was proven to be infeasible
Unknown Feasiblility - no feasible solution is know, but the problem was not proven to be infeasible

Constraint Type Legend

AGGAggregation
VBDVariable Bound
PARSet Partition
PACSet Packing
COVSet Cover
CARCardinality
EQKEquality Knapsack
BINBin Packing
IVKInvariant Knapsack
KNAKnapsack
IKNInteger Knapsack
M01Mixed Binary
GENGeneralAll other constraint types

Note: If a constraint matches more than one type, it is counted for the one with highest priority (lowest number).
Scaling and negation of binary are applied to match constraint types.

Last Update July 31, 2019 by Gerald Gamrath
© 2019 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
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