supportcase10

benchmark binary benchmark_suitable aggregations precedence variable_bound set_covering invariant_knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Michael Winkler	14770	165684	2.26828e-04	hard	–	7	supportcase10.mps.gz

MIP instances collected from Gurobi forum with unknown application

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	14770	14524
Constraints	165684	163834
Binaries	14770	14524
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000226828	0.000218938
Nonzeroes	555082	520968

Constraint Classification Properties
	Original	Presolved
Total	165684	163834
Empty	0	0
Free	0	0
Singleton	14	0
Aggregations	9660	9638
Precedence	39604	39576
Variable Bound	3380	3372
Set Partitioning	0	0
Set Packing	0	0
Set Covering	0	8
Cardinality	0	0
Invariant Knapsack	113026	111240
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	0	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	2.861534
Constraint %		0.0006290	0.0413834	0.0006290	29.5884
Variable %		0.0136968	0.1370050	0.0136968	89.5357
Score	0.035521

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

ID	Objective	Exact	Int. Viol	Cons. Viol	Obj. Viol	Submitter	Date	Description
1	7	7	0	0	0	-	2018-10-15	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to supportcase10 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
neos-950242	easy	5760	5520	240	0	34224	104160	NEOS Server Submission	neos-pseudoapplication-72	4	benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_covering invariant_knapsack general_linear
neos-3283608-agout	easy	26256	26224	0	32	108649	301792	Jeff Linderoth	neos-pseudoapplication-84	Unbounded	precedence variable_bound set_partitioning set_covering invariant_knapsack mixed_binary
ns1828997	open	27275	27275	0	0	81725	190670	NEOS Server Submission	neos-pseudoapplication-13	7.99999999999967*	binary precedence variable_bound cardinality invariant_knapsack
genus-sym-g62-2	open	12912	12910	1	1	78472	275855	Stephan Beyer	genus	-38.0*	precedence set_partitioning set_covering cardinality invariant_knapsack knapsack general_linear
genus-g61-25	open	14380	14378	1	1	94735	332877	Stephan Beyer	genus	-40.0*	numerics set_partitioning set_covering cardinality invariant_knapsack knapsack general_linear

Reference

No bibliographic information available