app2-1

binary decomposition numerics variable_bound set_packing mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Emilie Danna 3283 1038 2.53892e-03 easy app 19294.125 app2-1.mps.gz

The archive contains 5 instances coming from 3 applications.app1 is interesting because the continuous variables (w) drive the model.Some solvers have numerical problems on app2 models: some solutions found violate the constraints by a small amount.app2 and app3 models are easy to solve. But they don’t solve fast enough for the time limit I have in mind so I’d like to propose them for inclusion in MIPLIB.

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 3283 3283
Constraints 1038 1038
Binaries 3283 3283
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00253892 0.00253892
Nonzeroes 8652 8652
Constraint Classification Properties
Original Presolved
Total 1038 1038
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 1022 1022
Set Partitioning 0 0
Set Packing 14 14
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 2 2
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 2.619093
Constraint % 0.0963391 0.2405 0.1926780 1.252410
Variable % 0.0609199 0.1065 0.0913798 0.426439
Score 0.996610

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 19294.12 8.1e-06 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to app2-1 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
app2-2 easy 1226 1226 0 0 335 3130 Emilie Danna app 212040.3571429 binary decomposition numerics variable_bound set_packing mixed_binary
sp97ar easy 14101 14101 0 0 1761 290968 J. Goessens, S. v. Hoessel, L. Kroon sp9 660705645.759 benchmark binary benchmark_suitable variable_bound set_packing set_covering mixed_binary
sp98ar easy 15085 15085 0 0 1435 426148 J. Goessens, S. v. Hoessel, L. Kroon sp9 529740623.2 benchmark binary benchmark_suitable variable_bound set_packing set_covering mixed_binary
sp97ic easy 12497 12497 0 0 1033 316629 J. Goessens, S. v. Hoessel, L. Kroon sp9 427684487.68 binary decomposition benchmark_suitable variable_bound set_packing set_covering mixed_binary
neos-5140963-mincio easy 196 183 0 13 184 834 Jeff Linderoth neos-pseudoapplication-109 14393 benchmark_suitable set_partitioning mixed_binary

Reference

No bibliographic information available

Last Update Jul 31, 2019 by Gregor Hendel
generated with R Markdown
© 2019 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
Imprint