supportcase19

benchmark benchmark_suitable variable_bound set_partitioning set_covering general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Michael Winkler	1429098	10713	2.80021e-04	hard	–	12677205.99992052	supportcase19.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	1429098	1429097
Constraints	10713	10712
Binaries	1311292	1311291
Integers	117806	117806
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000280021	0.000280047
Nonzeroes	4287090	4287090

Constraint Classification Properties
	Original	Presolved
Total	10713	10712
Empty	0	0
Free	0	0
Singleton	1	0
Aggregations	0	0
Precedence	0	0
Variable Bound	2	2
Set Partitioning	0	1
Set Packing	0	0
Set Covering	324	324
Cardinality	1	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	0	0
General Linear	10385	10385
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	2.507856
Constraint %		0.00934	0.009510	0.009340	0.0653473
Variable %		0.00014	0.285846	0.314534	0.6890360
Score	0.030441

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	12677206	12677206	0	0	0	-	2018-10-15	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to supportcase19 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
lr1dr12vc10v70b-t360	open	193525	90670	93480	9375	56160	587100	Dimitri Papageorgiou	maritime	1000790.979722782*	aggregations variable_bound set_partitioning set_packing integer_knapsack mixed_binary general_linear
t11nonreg	easy	4596905	4570985	8640	17280	27375	46841437	Sujayandra Vaddagiri	–	1029039.499999974	aggregations set_partitioning general_linear
lr1dr04vc05v17a-t360	open	36912	15326	17979	3607	12600	107170	Dimitri Papageorgiou	maritime	252463.0*	aggregations variable_bound set_partitioning set_packing integer_knapsack mixed_binary general_linear
30n20b8	easy	18380	18318	62	0	576	109706	E. Coughlan, M. Lübbecke, J. Schulz	–	302	benchmark benchmark_suitable precedence set_partitioning general_linear
splan1	open	1317382	90810	1978	1224594	572800	5233840	C. Helmberg, A. Lau	–	-194371.1446680003*	numerics aggregations variable_bound set_partitioning set_packing cardinality invariant_knapsack knapsack integer_knapsack mixed_binary general_linear

Reference

No bibliographic information available