snp-04-052-052

numerics aggregations variable_bound mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Gerald Gamrath	221438	129662	1.59934e-05	open	supplynetworkplanning	881796490.7470638*	snp-04-052-052.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	221438	185036
Constraints	129662	99960
Binaries	4546	4364
Integers	4546	4676
Continuous	212346	175996
Implicit Integers	0	312
Fixed Variables	1	0
Nonzero Density	1.59934e-05	2.08281e-05
Nonzeroes	459205	385241

Constraint Classification Properties
	Original	Presolved
Total	129662	99960
Empty	0	0
Free	0	0
Singleton	21459	0
Aggregations	20891	19155
Precedence	0	0
Variable Bound	10339	9903
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	70916	65116
General Linear	6057	5786
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	4.280168
Constraint %		0.00100	0.00183	0.00100	15.70330
Variable %		0.00108	0.00158	0.00108	9.49041
Score	0.333674

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
6	881796491	1e+100	0e+00	0e+00	0.0e+00	Alex Fender, Alice Boucher, Akif Coerduek, Piotr Sielski, Burcin Bozkaya, Preethi Maulik	2025-01-10	Found using GPU-accelerated MIP in NVIDIA cuOpt
5	881796534	1e+100	0e+00	0e+00	0.0e+00	Mars Davletshin	2024-10-24	It was obtained with OptVerse.
4	881873005		4e-07	4e-07	4.0e-07	Michael Winkler	2024-01-16	Found with Gurobi 11.0.0 on AMD EPYC 7313P 16-Core Processor with 264075352 kB memory.
3	885202237		0e+00	0e+00	2.0e-07	Edward Rothberg	2020-04-22	Obtained with Gurobi 9.0 using the solution improvement heuristic
2	918354458		1e-07	1e-07	3.0e-07	Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
1	951577638		0e+00	0e+00	7.1e-06	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to snp-04-052-052 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	6059860690.259938*	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-10-004-052	open	538777	815	815	537147	300348	1097779	Gerald Gamrath	supplynetworkplanning	5906642759.088037*	numerics aggregations variable_bound mixed_binary general_linear
gasprod2-1	easy	29568	7389	0	22179	73448	282846	Andrew Stamps	gasprod	1628548.2968	numerics aggregations precedence variable_bound invariant_knapsack binpacking mixed_binary

Reference

No bibliographic information available