neos-872648

decomposition precedence variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	175219	93291	2.14383e-05	easy	neos-pseudoapplication-61	48.60790603143	neos-872648.mps.gz

Imported from the MIPLIB2010 submissions. The instance was solved using up to 48 threads in 4000 sec. using Gurobi 9.0. Solved with COPT 7.0 using up to 12 threads in less than 30 minutes.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	175219	175151
Constraints	93291	93265
Binaries	87575	87575
Integers	0	0
Continuous	87644	87576
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	2.14383e-05	2.14428e-05
Nonzeroes	350438	350278

Constraint Classification Properties
	Original	Presolved
Total	93291	93265
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	818	795
Variable Bound	87575	87584
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	4898	4886
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	4.938470
Constraint %		0.00107	0.00109	0.00107	0.00429
Variable %		0.00114	0.00115	0.00114	0.00228
Score	0.947601

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	48.60791		0e+00	0	0	Hans Mittelmann	2019-12-09	Optimal solution found with Gurobi 9.0 using up to 48 threads in 4000 sec.
1	48.60791		3e-07	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-872648 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-873061	easy	175288	87644	87644	93360	350576	NEOS Server Submission	neos-pseudoapplication-61	113.6562385063	benchmark decomposition benchmark_suitable precedence variable_bound mixed_binary
neos-3755335-nizao	easy	40938	5226	35712	111026	547794	Jeff Linderoth	neos-pseudoapplication-61	50.0301565326	benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack mixed_binary
neos-3759587-noosa	easy	27029	4289	22740	72104	318169	Jeff Linderoth	neos-pseudoapplication-61	48.334467769	benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack mixed_binary
in	hard	1449074	1489	1447585	1526202	6811639	Armin Fuegenschuh	–	58	aggregations variable_bound mixed_binary
supportcase37	easy	20047	1484	18563	59023	135627	Domenico Salvagnin	–	-1048.96	benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary

Reference

No bibliographic information available