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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
pizza27i 311316 115831 195485 0 359835 642512 Gleb Belov pizza open 773290*
ghoulomb4-9-10i 43424 15590 27834 0 56330 118062 Gleb Belov ghoulomb easy 44
mrcpspj30-17-10i 26381 7386 10901 8094 34490 62166 Gleb Belov mrcpspj easy 26
l2p2i 38196 13113 24938 145 47653 85208 Gleb Belov l2p open
mrcpspj30-15-5i 24376 6192 8921 9263 32659 56963 Gleb Belov mrcpspj easy 24

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 Nov 17, 2018 by Gregor Hendel
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