amaze22012-07-04i

no_solution feasibility indicator numerics aggregations precedence variable_bound set_partitioning cardinality integer_knapsack mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Gleb Belov 31237 42328 6.30646e-05 open amaze NA amaze22012-07-04i.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 31237 30588
Constraints 42328 40990
Binaries 10654 10600
Integers 1603 1584
Continuous 18980 18404
Implicit Integers 885 971
Fixed Variables 43 0
Nonzero Density 6.30646e-05 6.11564e-05
Nonzeroes 83384 76678
Constraint Classification Properties
Original Presolved
Total 22657 21885
Empty 0 0
Free 0 0
Singleton 22 217
Aggregations 717 708
Precedence 899 2157
Variable Bound 1605 3383
Set Partitioning 100 100
Set Packing 0 0
Set Covering 0 0
Cardinality 91 86
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 5
Mixed Binary 18786 14792
General Linear 437 437
Indicator 19671 19671

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)

No solution available for amaze22012-07-04i .

Similar instances in collection

The following instances are most similar to amaze22012-07-04i 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 Status Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Objective Tags
amaze22012-03-15i hard 94351 31870 2770 59711 126975 251822 Gleb Belov amaze 0 feasibility indicator numerics aggregations precedence variable_bound set_partitioning cardinality equation_knapsack integer_knapsack mixed_binary general_linear
amaze22012-06-28i easy 12691 4376 914 7401 17319 33831 Gleb Belov amaze 0 feasibility indicator numerics aggregations precedence variable_bound set_partitioning cardinality integer_knapsack mixed_binary general_linear
fillomino7x7-0i easy 12877 4821 4443 3613 17518 33300 Gleb Belov fillomino 0 feasibility indicator numerics aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack mixed_binary general_linear
elitserienhandball3i hard 32807 16966 6973 8868 35804 99434 Gleb Belov elitserienhandball 4 indicator numerics aggregations precedence variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack equation_knapsack mixed_binary general_linear
elitserienhandball13i hard 32791 16976 6976 8839 35758 99381 Gleb Belov elitserienhandball 5 indicator numerics aggregations precedence variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack equation_knapsack mixed_binary general_linear

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",
}

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