sing5

decomposition aggregations variable_bound set_partitioning cardinality mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Daniel Espinoza 154463 92183 2.87042e-05 open sing 18778435.60768* sing5.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 154463 154463
Constraints 92183 92183
Binaries 146210 146210
Integers 0 0
Continuous 8253 8253
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 2.87042e-05 2.87042e-05
Nonzeroes 408715 408715
Constraint Classification Properties
Original Presolved
Total 92183 92183
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 2170 2170
Precedence 0 0
Variable Bound 16170 16170
Set Partitioning 7816 69043
Set Packing 0 0
Set Covering 0 0
Cardinality 65691 4464
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 1.838849
Constraint % 0.00542 1.46523 0.00759 8.31064
Variable % 0.00259 1.46899 0.00388 8.64673
Score 0.942713

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 18778436 18778436 0 0 2.6e-06 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to sing5 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
sing11 open 175352 165337 0 10015 105858 479075 Daniel Espinoza sing 19123543.189* 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
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
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
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

Reference

No bibliographic information available

Last Update Jul 31, 2019 by Gregor Hendel
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