gfd-schedulen25f5d20m10k3i

indicator numerics aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack equation_knapsack mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Gleb Belov 30916 47093 6.06109e-05 easy gfd-schedule 5 gfd-schedulen25f5d20m10k3i.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 30916 30176
Constraints 47093 45798
Binaries 14783 14444
Integers 14556 14165
Continuous 1577 1567
Implicit Integers 7582 7324
Fixed Variables 39 0
Nonzero Density 6.06109e-05 6.14804e-05
Nonzeroes 88245 84966
Constraint Classification Properties
Original Presolved
Total 38031 37094
Empty 0 0
Free 0 0
Singleton 5 20
Aggregations 10471 10442
Precedence 11591 10764
Variable Bound 8603 8556
Set Partitioning 95 93
Set Packing 105 105
Set Covering 0 0
Cardinality 11 11
Invariant Knapsack 5205 5195
Equation Knapsack 3 2
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 1480 1444
General Linear 462 462
Indicator 9062 9062

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 gfd-schedulen25f5d20m10k3i .

Similar instances in collection

The following instances are most similar to gfd-schedulen25f5d20m10k3i 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
mspsphard01i easy 21531 10868 10663 0 32864 59860 Gleb Belov mspsp 35 indicator numerics aggregations precedence variable_bound set_packing invariant_knapsack general_linear
mspsphard03i easy 32266 18603 13663 0 56333 114618 Gleb Belov mspsp 30 indicator numerics aggregations precedence variable_bound set_packing set_covering invariant_knapsack binpacking knapsack mixed_binary general_linear
gfd-schedulen55f2d50m30k3i easy 90158 40622 42209 7327 129102 260992 Gleb Belov gfd-schedule 6 indicator numerics aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack equation_knapsack mixed_binary general_linear
ghoulomb4-9-10i easy 43424 15590 27834 0 56330 118062 Gleb Belov ghoulomb 44 indicator numerics aggregations precedence variable_bound invariant_knapsack integer_knapsack general_linear
fjspeasy01i easy 17847 8849 8998 0 27264 46454 Gleb Belov fjsp 253 indicator numerics aggregations precedence variable_bound set_packing invariant_knapsack 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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