neos-954925

binary precedence set_packing invariant_knapsack binpacking knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	84718	2989	3.33692e-03	hard	neos-pseudoapplication-48	-237.7688889	neos-954925.mps.gz

Imported from the MIPLIB2010 submissions. The instance was solved using up to 40 threads in 120 sec. 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	84718	84672
Constraints	2989	2989
Binaries	84718	84672
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00333692	0.00333856
Nonzeroes	844983	844937

Constraint Classification Properties
	Original	Presolved
Total	2989	2989
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	1
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	1860	1859
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	404	404
Equation Knapsack	0	0
Bin Packing	348	348
Knapsack	137	377
Integer Knapsack	0	0
Mixed Binary	240	0
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	1.672098
Constraint %		0.033456	0.821854	0.936768	1.47206
Variable %		0.002360	2.171350	2.339620	3.57970
Score	0.367379

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	-237.7689		0	0	0	Hans Mittelmann	2019-12-11	Optimal solution found with Gurobi 9.0 using up to 40 threads in 120 sec.
1	-237.7689	-237.7689	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-954925 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	Constraints	Nonz.	Submitter	Group	Objective	Tags
neos-956971	easy	57756	57756	2527	483560	NEOS Server Submission	neos-pseudoapplication-48	-237.7688889	binary benchmark_suitable precedence set_packing invariant_knapsack binpacking knapsack
neos-957143	easy	57756	57756	2767	497676	NEOS Server Submission	neos-pseudoapplication-48	-237.7688889	binary benchmark_suitable precedence set_packing invariant_knapsack binpacking knapsack
neos-957323	easy	57756	57756	3757	499656	NEOS Server Submission	neos-pseudoapplication-48	-237.7566815	benchmark binary benchmark_suitable precedence variable_bound set_packing invariant_knapsack binpacking knapsack
neos-948346	easy	57855	57855	1570	540443	NEOS Server Submission	neos-pseudoapplication-48	-227.6	binary benchmark_suitable set_packing invariant_knapsack binpacking knapsack
neos-960392	easy	59376	59376	4744	189503	NEOS Server Submission	neos-pseudoapplication-94	-238	benchmark binary benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack

Reference

No bibliographic information available