Submitter Variables Constraints Density Status Group Objective MPS File
Gleb Belov 94351 126975 2.10198e-05 open amaze 0 amaze22012-03-15i.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 94351 92303
Constraints 126975 123920
Binaries 31870 31578
Integers 2770 2711
Continuous 59711 58014
Implicit Integers 1527 1667
Fixed Variables 98 0
Nonzero Density 2.10198e-05 2.00843e-05
Nonzeroes 251822 229728
Constraint Classification Properties
Original Presolved
Total 66082 64705
Empty 0 0
Free 0 0
Singleton 49 1077
Aggregations 1242 1220
Precedence 1562 7709
Variable Bound 2777 9813
Set Partitioning 176 176
Set Packing 0 0
Set Covering 0 0
Cardinality 158 147
Invariant Knapsack 0 0
Equation Knapsack 0 1
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 8
Mixed Binary 59366 43808
General Linear 752 746
Indicator 60893 60893

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 0 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 amaze22012-03-15i 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
amaze22012-07-04i 31237 10654 1603 18980 42328 83384 Gleb Belov amaze open
amaze22012-06-28i 12691 4376 914 7401 17319 33831 Gleb Belov amaze easy 0
fillomino7x7-0i 12877 4821 4443 3613 17518 33300 Gleb Belov fillomino easy 0
elitserienhandball3i 32807 16966 6973 8868 35804 99434 Gleb Belov elitserienhandball open 6*
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 09, 2018 by Gregor Hendel
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