amaze22012-06-28i

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 12691 17319 1.5392e-04 easy amaze 0 amaze22012-06-28i.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 12691 12120
Constraints 17319 16358
Binaries 4376 4316
Integers 914 892
Continuous 7401 6912
Implicit Integers 504 552
Fixed Variables 49 0
Nonzero Density 0.000153920 0.000147282
Nonzeroes 33831 29200
Constraint Classification Properties
Original Presolved
Total 9535 9055
Empty 0 0
Free 0 0
Singleton 25 280
Aggregations 420 411
Precedence 528 1352
Variable Bound 928 2048
Set Partitioning 61 61
Set Packing 0 0
Set Covering 0 0
Cardinality 53 46
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 9
Mixed Binary 7280 4608
General Linear 240 240
Indicator 7784 7784

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 amaze22012-06-28i .

Similar instances in collection

The following instances are most similar to amaze22012-06-28i 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
amaze22012-07-04i 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
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
stoch-vrpvrp-s5v2c8vrp-v2c8i hard 8436 1485 734 6217 13813 26231 Gleb Belov vrp 329.9999999999999 indicator numerics aggregations precedence variable_bound set_partitioning set_packing 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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