pizza78i

indicator numerics aggregations precedence variable_bound set_partitioning cardinality binpacking general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Gleb Belov 385067 443776 4.66174e-06 open pizza 869640* pizza78i.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 385067 365171
Constraints 443776 442976
Binaries 143886 123990
Integers 241181 241181
Continuous 0 0
Implicit Integers 120590 120790
Fixed Variables 19896 0
Nonzero Density 4.66174e-06 4.91472e-06
Nonzeroes 796615 795015
Constraint Classification Properties
Original Presolved
Total 323186 322386
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 41399 41399
Precedence 800 200
Variable Bound 141286 141086
Set Partitioning 200 200
Set Packing 0 0
Set Covering 0 0
Cardinality 19896 19896
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 14 14
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 0 0
General Linear 119591 119591
Indicator 120590 120590

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.

ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
1 869640 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to pizza78i 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
pizza27i open 311316 115831 195485 0 359835 642512 Gleb Belov pizza 773290* indicator numerics aggregations precedence variable_bound set_partitioning cardinality binpacking 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
mrcpspj30-17-10i easy 26381 7386 10901 8094 34490 62166 Gleb Belov mrcpspj 26 indicator numerics aggregations precedence variable_bound set_partitioning invariant_knapsack integer_knapsack mixed_binary general_linear
l2p2i open 38196 13113 24938 145 47653 85208 Gleb Belov l2p no_solution indicator numerics aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack general_linear
mrcpspj30-15-5i easy 24376 6192 8921 9263 32659 56963 Gleb Belov mrcpspj 24 indicator numerics aggregations precedence variable_bound set_partitioning invariant_knapsack integer_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",
}

Last Update Mär 19, 2019 by Gregor Hendel
generated with R Markdown
© 2019 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
Imprint