mspsphard01i

indicator numerics aggregations precedence variable_bound set_packing invariant_knapsack general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Gleb Belov 21531 32864 8.45964e-05 easy mspsp 35 mspsphard01i.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 21531 20960
Constraints 32864 32313
Binaries 10868 10848
Integers 10663 10112
Continuous 0 0
Implicit Integers 7012 6461
Fixed Variables 20 0
Nonzero Density 8.45964e-05 8.67558e-05
Nonzeroes 59860 58758
Constraint Classification Properties
Original Presolved
Total 25852 25852
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 6931 6931
Precedence 7609 7609
Variable Bound 7076 7076
Set Partitioning 0 0
Set Packing 210 210
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 3826 3826
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 0 0
General Linear 200 200
Indicator 7012 7012

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)

Find solutions below. Download the archive containing all solutions from the Download page.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion
ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
1 35 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to mspsphard01i 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
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-schedulen25f5d20m10k3i easy 30916 14783 14556 1577 47093 88245 Gleb Belov gfd-schedule 5 indicator numerics aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack equation_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
fjspeasy01i easy 17847 8849 8998 0 27264 46454 Gleb Belov fjsp 253 indicator numerics aggregations precedence variable_bound set_packing invariant_knapsack 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

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",
}

Last Update 2024 by Mark Turner
generated with R Markdown
© by Zuse Institute Berlin (ZIB)
Imprint