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	19108639.4603942*	sing11.mps.gz

Imported from the MIPLIB2010 submissions.

Location of instance in collection

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.

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	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.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion

ID	Objective	Exact	Int. Viol	Cons. Viol	Obj. Viol	Submitter	Date	Description
2	19108639		0	0	0	Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
sing5	open	154463	146210	8253	92183	408715	Daniel Espinoza	sing	18778435.60767737*	decomposition aggregations variable_bound set_partitioning cardinality mixed_binary
sing17	open	452787	432541	20246	266802	1205830	Daniel Espinoza	sing	36161699.37883251*	aggregations variable_bound set_partitioning cardinality mixed_binary
sing44	easy	59708	43524	16184	54745	281260	Daniel Espinoza	sing	8128831.1772	benchmark decomposition benchmark_suitable aggregations variable_bound set_partitioning cardinality mixed_binary
sing326	easy	55156	40010	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	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