Submitter Variables Constraints Density Status Group Objective MPS File
Gleb Belov 10470 17055 1.86363e-04 easy mapping 905 mappingmesh3x3mpeg2i.mps.gz

These are the instances from MiniZinc Challenges 2012-2016 (see www.minizinc.org), compiled for MIP WITH INDICATOR CONSTRAINTS using the develop branch of MiniZinc and CPLEX 12.7.1 on 30 April 2017. Thus, these instances can only be handled by solvers accepting indicator constraints. For instances compiled with big-M/domain decomposition only, see my previous submission to MIPLIB.To recompile, create a directory MODELS, a list lst12_16.txt of the instances with full paths to mzn/dzn files of each instance per line, and say$> ~/install/libmzn/tests/benchmarking/mzn-test.py -l ../lst12_16.txt –slvPrf MZN-CPLEX –debug 1 –addOption “–timeout 3 -D fIndConstr=true -D fMIPdomains=false” –useJoinedName “–writeModel MODELS_IND/%s.mps” Alternatively, you can compile individual instance as follows: $> mzn-cplex -v -s -G linear –output-time ../challenge_2012_2016/mznc2016_probs/zephyrus/zephyrus.mzn ../challenge_2012_2016/mznc2016_p/zephyrus/14__8__6__3.dzn -a –timeout 3 -D fIndConstr=true -D fMIPdomains=false –writeModel MODELS_IND/challenge_2012_2016mznc2016_probszephyruszephyrusmzn-challenge_2012_2016mznc2016_probszephyrus14__8__6__3dzn.mps

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 10470 10209
Constraints 17055 13430
Binaries 4739 4739
Integers 4369 4369
Continuous 1362 1101
Implicit Integers 2320 2342
Fixed Variables 0 0
Nonzero Density 0.000186363 0.000189837
Nonzeroes 33278 26028
Constraint Classification Properties
Original Presolved
Total 13709 10371
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 3059 3059
Precedence 3643 279
Variable Bound 5945 5945
Set Partitioning 74 20
Set Packing 0 0
Set Covering 0 0
Cardinality 4 58
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 27 53
Mixed Binary 531 531
General Linear 426 426
Indicator 3373 3373

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components
Constraint %
Variable %
Score

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
1 905 1e+100 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to mappingmesh3x3mpeg2i in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.

Instance Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
physiciansched3-4 74119 65900 0 8219 239780 908634 Pelin Damci-Kurt physiciansched open 1481156.4133*
physiciansched5-3 14488 11501 0 2987 31925 156378 Pelin Damci-Kurt physiciansched easy 21100
mrcpspj30-17-10i 26381 7386 10901 8094 34490 62166 Gleb Belov mrcpspj easy 26
elitserienhandball14i 32541 16938 6938 8665 35328 98685 Gleb Belov elitserienhandball open 4*
elitserienhandball11i 32679 16944 6952 8783 35580 99071 Gleb Belov elitserienhandball open 4*

Reference

@article{MZChPhil2010,
year={2010},
journal={Constraints},
volume={15},
number={3},
title={Philosophy of the {MiniZinc} challenge},
publisher={Springer US},
author={Stuckey, P. J. and Becket, R. and Fischer, J.},
pages={307--316},
}
@incollection{BelovEtAl_Lin16,
author="Belov, G.
and Stuckey, P. J.
and Tack, G.
and Wallace, M.",
editor="Rueher, M.",
title="Improved Linearization of Constraint Programming Models",
bookTitle="Principles and Practice of Constraint Programming: 22nd International Conference, CP 2016, Proceedings",
year="2016",
publisher="Springer International Publishing",
pages="49--65",
}

Last Update Nov 09, 2018 by Gregor Hendel
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