sing11

decomposition aggregations variable_bound set_partitioning cardinality mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Daniel Espinoza 175352 105858 2.58089e-05 open sing 19123543.189* sing11.mps.gz

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 175352 175352
Constraints 105858 105858
Binaries 165337 165337
Integers 0 0
Continuous 10015 10015
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 2.58089e-05 2.58089e-05
Nonzeroes 479075 479075
Constraint Classification Properties
Original Presolved
Total 105858 105858
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 2738 2738
Precedence 0 0
Variable Bound 19652 19652
Set Partitioning 9531 77634
Set Packing 0 0
Set Covering 0 0
Cardinality 73601 5498
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 336 336
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 1.875061
Constraint % 0.00472 1.34706 0.00661 7.23705
Variable % 0.00228 1.34989 0.00342 7.61668
Score 0.952823

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 19123543 19123543 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to sing11 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
sing5 open 154463 146210 0 8253 92183 408715 Daniel Espinoza sing 18778435.60768* decomposition aggregations variable_bound set_partitioning cardinality mixed_binary
sing17 open 452787 432541 0 20246 266802 1205830 Daniel Espinoza sing 36642313.83193* aggregations variable_bound set_partitioning cardinality mixed_binary
sing44 hard 59708 43524 0 16184 54745 281260 Daniel Espinoza sing 8128831.1772 benchmark decomposition benchmark_suitable aggregations variable_bound set_partitioning cardinality mixed_binary
sing326 hard 55156 40010 0 15146 50781 268173 Daniel Espinoza sing 7753674.85376 benchmark decomposition benchmark_suitable aggregations variable_bound set_partitioning cardinality mixed_binary
satellites2-60-fs easy 35378 34324 0 1054 16516 125048 He Renjie satellites -19.0000000001 benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing cardinality knapsack mixed_binary

Reference

No bibliographic information available

Last Update Okt 02, 2019 by Gregor Hendel
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