shipschedule6shipsmixi

indicator numerics aggregations precedence variable_bound set_partitioning invariant_knapsack integer_knapsack mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Gleb Belov 18770 27823 1.07045e-04 easy shipschedule -301650 shipschedule6shipsmixi.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 18770 18539
Constraints 27823 25621
Binaries 10310 10310
Integers 7104 7101
Continuous 1356 1128
Implicit Integers 3858 4527
Fixed Variables 6 0
Nonzero Density 0.000107045 0.000108428
Nonzeroes 55903 51502
Constraint Classification Properties
Original Presolved
Total 23065 21088
Empty 0 0
Free 0 0
Singleton 3 0
Aggregations 4544 4544
Precedence 8657 7349
Variable Bound 6057 5391
Set Partitioning 669 669
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 1676 1676
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 148 148
Mixed Binary 453 453
General Linear 858 858
Indicator 4758 4758

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 shipschedule6shipsmixi .

Similar instances in collection

The following instances are most similar to shipschedule6shipsmixi 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
shipschedule8shipsmixuci easy 25206 13635 9763 1808 37821 75480 Gleb Belov shipschedule -389100 indicator numerics aggregations precedence variable_bound set_partitioning invariant_knapsack integer_knapsack mixed_binary general_linear
shipschedule3shipsi easy 10513 4817 4343 1353 16727 31243 Gleb Belov shipschedule -265650 indicator numerics aggregations precedence variable_bound set_partitioning invariant_knapsack integer_knapsack mixed_binary general_linear
rocI-3-11 easy 5132 3894 762 476 8165 20540 Joerg Rambau rocI -50403 numerics aggregations precedence variable_bound set_partitioning mixed_binary 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
rocI-4-11 easy 6839 5192 1016 631 10883 27383 Joerg Rambau rocI -6020203 benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning 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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