neos-4343293-stony

variable_bound binpacking mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jeff Linderoth	9400	10650	5.56068e-04	hard	neos-pseudoapplication-58	46.38468271624112	neos-4343293-stony.mps.gz

The instance was solved using up to 48 threads in 6 hours using Gurobi 9.0.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	9400	9400
Constraints	10650	10650
Binaries	4698	4698
Integers	0	0
Continuous	4702	4702
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000556068	0.000556068
Nonzeroes	55668	55668

Constraint Classification Properties
	Original	Presolved
Total	10650	10650
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	4698	4698
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	4698	4698
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	1254	1254
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	3.581039
Constraint %		0.0099800	0.0137923	0.0099800	13.3267
Variable %		0.0212766	0.0262356	0.0212766	17.1489
Score	0.502331

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	46.38468		8.7e-06	1e-07	0	Hans Mittelmann	2019-12-09	Optimal solution found with Gurobi 9.0 using up to 48 threads in 6 hours
1	46.38473	46.38473	5.0e-07	6e-07	0	-	2018-10-16	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-4343293-stony 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
neos-4387871-tavua	hard	4004	2000	2004	4554	23496	Jeff Linderoth	neos-pseudoapplication-58	33.384729927	benchmark benchmark_suitable variable_bound binpacking mixed_binary
neos-4333464-siret	easy	2731	1363	1368	2880	27710	Jeff Linderoth	neos-pseudoapplication-58	24.78581995155556	benchmark_suitable variable_bound binpacking mixed_binary
neos-4355351-swalm	open	21065	10530	10535	21609	371467	Jeff Linderoth	neos-pseudoapplication-58	33.45757454008309*	variable_bound binpacking mixed_binary
neos-4393408-tinui	easy	4004	2000	2004	4554	23496	Jeff Linderoth	neos-pseudoapplication-58	375.49807237	benchmark_suitable variable_bound binpacking mixed_binary
ns1856153	open	11998	11956	42	35407	105882	NEOS Server Submission	neos-pseudoapplication-6	34.16346179965939*	precedence variable_bound set_covering invariant_knapsack binpacking mixed_binary

Reference

No bibliographic information available