ex10

benchmark binary benchmark_suitable precedence set_partitioning invariant_knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
Iulian Ober 17680 69608 9.44202e-04 easy 100 ex10.mps.gz

Formulations of Boolean SAT instance

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 17680 15936
Constraints 69608 63016
Binaries 0 15936
Integers 17680 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000944202 0.001028060
Nonzeroes 1162000 1032400
Constraint Classification Properties
Original Presolved
Total 69808 63016
Empty 0 0
Free 0 0
Singleton 608 0
Aggregations 0 0
Precedence 2224 2920
Variable Bound 0 0
Set Partitioning 0 200
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 59896
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 200 0
Mixed Binary 0 0
General Linear 66776 0
Indicator 0 0

Structure

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

value min median mean max
Components 2.037427
Constraint % 0.0031700 0.042905 0.0253904 0.677606
Variable % 0.0125502 0.164082 0.1066770 2.397090
Score 0.045668

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
1 100 100 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ex10 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
ex9 easy 10404 0 10404 0 40962 517112 Iulian Ober 81 benchmark binary benchmark_suitable precedence set_partitioning invariant_knapsack
supportcase10 hard 14770 14770 0 0 165684 555082 Michael Winkler 7 benchmark binary benchmark_suitable aggregations precedence variable_bound set_covering invariant_knapsack
supportcase22 hard 7129 7129 0 0 260602 2228830 Michael Winkler Infeasible benchmark infeasible binary benchmark_suitable aggregations set_covering invariant_knapsack binpacking knapsack
supportcase2 open 2912 2912 0 0 597385 7653930 Michael Winkler 372* binary aggregations set_covering invariant_knapsack binpacking
tw-myciel4 hard 760 759 1 0 8146 27961 Arie Koster 10 aggregations precedence variable_bound invariant_knapsack general_linear

Reference

No bibliographic information available

Last Update Mär 19, 2019 by Gregor Hendel
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