Submitter Variables Constraints Density Status Group Objective MPS File
Gleb Belov 26381 34490 6.83232e-05 easy mrcpspj 26 mrcpspj30-17-10i.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 26381 23733
Constraints 34490 32584
Binaries 7386 7022
Integers 10901 10523
Continuous 8094 6188
Implicit Integers 4480 4574
Fixed Variables 324 0
Nonzero Density 6.83232e-05 7.37124e-05
Nonzeroes 62166 57003
Constraint Classification Properties
Original Presolved
Total 24027 23749
Empty 0 0
Free 0 0
Singleton 47 0
Aggregations 5242 5048
Precedence 3696 3815
Variable Bound 5930 6049
Set Partitioning 172 125
Set Packing 0 0
Set Covering 0 0
Cardinality 1 0
Invariant Knapsack 1033 1033
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 62 121
Mixed Binary 3164 2926
General Linear 4680 4632
Indicator 10463 10463

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 26 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to mrcpspj30-17-10i 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
mrcpspj30-15-5i 24376 6192 8921 9263 32659 56963 Gleb Belov mrcpspj easy 24
mrcpspj30-53-3i 24220 6020 8938 9262 32618 56796 Gleb Belov mrcpspj easy 34
diameterc-msts-v40a100d5i 14629 5611 5304 3714 21131 40288 Gleb Belov diameterc easy 729
elitserienhandball11i 32679 16944 6952 8783 35580 99071 Gleb Belov elitserienhandball open 4*
elitserienhandball13i 32791 16976 6976 8839 35758 99381 Gleb Belov elitserienhandball open 9*

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 19, 2018 by Gregor Hendel
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