Submitter Variables Constraints Density Status Group Objective MPS File
Gleb Belov 27888 874 2.49187e-03 open pb- 9312 pb-gfrd-pnc.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

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 27888 25934
Constraints 874 848
Binaries 27888 25934
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00249187 0.00258407
Nonzeroes 60737 56829
Constraint Classification Properties
Original Presolved
Total 874 848
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 548 522
Bin Packing 0 324
Knapsack 0 2
Integer Knapsack 0 0
Mixed Binary 326 0
General Linear 0 0
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 2.120574
Constraint % 0.1179250 0.2934610 0.3537740 0.825472
Variable % 0.0424154 0.0844186 0.0848307 0.254492
Score 0.383967

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 9307 9307 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to pb-gfrd-pnc 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
pb-grow22 25124 25124 0 0 1320 154694 Gleb Belov pb- open -46894*
pg5_34 2600 100 0 2500 225 7700 M. Dawande easy -14339.35345
pg 2700 100 0 2600 125 5200 M. Dawande easy -8674.34260712
nh97_potential 1180 630 328 222 1916 5748 MIPLIB submission pool easy 1418
pb-fit2d 118500 118500 0 0 10525 1575580 Gleb Belov pb- easy -20425

Reference

No bibliographic information available

Last Update Nov 09, 2018 by Gregor Hendel
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