snp-10-004-052

numerics aggregations variable_bound mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Gerald Gamrath	538777	300348	6.78393e-06	open	supplynetworkplanning	5906642759.088037*	snp-10-004-052.mps.gz

Supply network planning problems.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	538777	445460
Constraints	300348	225243
Binaries	815	323
Integers	815	399
Continuous	537147	444738
Implicit Integers	0	76
Fixed Variables	1	0
Nonzero Density	6.78393e-06	9.05138e-06
Nonzeroes	1097780	908186

Constraint Classification Properties
	Original	Presolved
Total	300348	225243
Empty	0	0
Free	0	0
Singleton	53012	0
Aggregations	51917	47252
Precedence	0	0
Variable Bound	4753	3595
Set Partitioning	0	0
Set Packing	0	0
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	189561	173988
General Linear	1105	408
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
Constraint %
Variable %
Score

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	Cons. Viol	Obj. Viol	Submitter	Date	Description
3	5906642759	1e+100	1e-06	4.00e-07	Mars Davletshin	2024-10-23	It was obtained with OptVerse using LNS.
2	5906642768		0e+00	5.60e-06	Michael Winkler	2024-01-16	Found with Gurobi 11.0.0 on AMD EPYC 7313P 16-Core Processor with 264075352 kB memory.
1	5906642866		0e+00	2.33e-05	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to snp-10-004-052 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
snp-10-052-052	open	549021	11059	11059	526903	320836	1138755	Gerald Gamrath	supplynetworkplanning	6059865443.559938*	numerics aggregations variable_bound mixed_binary general_linear
snp-06-004-052	open	328461	494	494	327473	183168	668716	Gerald Gamrath	supplynetworkplanning	1869531794.272782*	numerics aggregations variable_bound mixed_binary general_linear
snp-02-004-104	easy	228350	167	167	228016	126512	463941	Gerald Gamrath	supplynetworkplanning	586803238.6567289	benchmark benchmark_suitable aggregations variable_bound mixed_binary general_linear
snp-04-052-052	open	221438	4546	4546	212346	129662	459205	Gerald Gamrath	supplynetworkplanning	881796534.4480641*	numerics aggregations variable_bound mixed_binary general_linear
cost266-UUE	easy	4161	171	0	3990	1446	12312	MIPLIB submission pool	network_design	25148940.55999998	benchmark decomposition benchmark_suitable aggregations set_packing mixed_binary

Reference

No bibliographic information available