fillomino7x7-0i

feasibility indicator numerics aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Gleb Belov 12877 17518 1.4762e-04 easy fillomino 0 fillomino7x7-0i.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 12877 12205
Constraints 17518 16444
Binaries 4821 4669
Integers 4443 4140
Continuous 3613 3396
Implicit Integers 2588 2396
Fixed Variables 88 0
Nonzero Density 0.00014762 0.00014733
Nonzeroes 33300 29569
Constraint Classification Properties
Original Presolved
Total 11402 10756
Empty 0 0
Free 0 0
Singleton 17 236
Aggregations 1634 1621
Precedence 1304 1271
Variable Bound 3156 3584
Set Partitioning 36 39
Set Packing 0 0
Set Covering 0 0
Cardinality 570 577
Invariant Knapsack 266 246
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 3528 2304
General Linear 891 878
Indicator 6116 6116

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 fillomino7x7-0i .

Similar instances in collection

The following instances are most similar to fillomino7x7-0i 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
amaze22012-06-28i 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
amaze22012-07-04i hard 31237 10654 1603 18980 42328 83384 Gleb Belov amaze 0 feasibility indicator numerics aggregations precedence variable_bound set_partitioning cardinality integer_knapsack mixed_binary general_linear
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
rpp22falsei easy 25462 10276 15056 130 33269 56547 Gleb Belov rpp 0 feasibility indicator numerics aggregations precedence variable_bound set_partitioning set_covering 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

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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