cvrpp-n16k8vrpi

indicator numerics aggregations precedence variable_bound set_partitioning set_packing mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Gleb Belov 18294 31615 1.04681e-04 open vrp 450* cvrpp-n16k8vrpi.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 18294 13232
Constraints 31615 26452
Binaries 2832 1946
Integers 531 531
Continuous 14931 10755
Implicit Integers 116 176
Fixed Variables 105 0
Nonzero Density 0.000104681 0.000105728
Nonzeroes 60544 37006
Constraint Classification Properties
Original Presolved
Total 18293 16706
Empty 0 0
Free 0 0
Singleton 195 2162
Aggregations 1749 1314
Precedence 161 3827
Variable Bound 232 4014
Set Partitioning 60 60
Set Packing 60 60
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 30 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 13236 3510
General Linear 2570 1759
Indicator 13322 13322

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
1 450 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to cvrpp-n16k8vrpi 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
cvrpsimple2i easy 4166 648 243 3275 7023 13248 Gleb Belov vrp 34 indicator numerics aggregations precedence variable_bound set_partitioning set_packing mixed_binary general_linear
cvrpb-n45k5vrpi open 153202 23625 1575 128002 268835 519556 Gleb Belov pb- 775* indicator numerics aggregations precedence variable_bound set_partitioning set_packing mixed_binary general_linear
cvrpa-n64k9vrpi open 312726 48192 2259 262275 550111 1064702 Gleb Belov vrp 2042.0* indicator numerics aggregations precedence variable_bound set_partitioning set_packing mixed_binary general_linear
stoch-vrpvrp-s5v2c8vrp-v2c8i hard 8436 1485 734 6217 13813 26231 Gleb Belov vrp 329.9999999999999 indicator numerics aggregations precedence variable_bound set_partitioning set_packing mixed_binary general_linear
amaze22012-06-28i easy 12691 4376 914 7401 17319 33831 Gleb Belov amaze 0 feasibility indicator numerics aggregations precedence variable_bound set_partitioning cardinality 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",
}

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