leo2

benchmark benchmark_suitable variable_bound set_packing set_covering mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
COR@L test set	11100	593	3.34167e-02	easy	–	404077441.12	leo2.mps.gz

Instance coming from the COR@L test set with unknown origin Imported from MIPLIB2010.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	11100	11100
Constraints	593	593
Binaries	11099	11099
Integers	0	0
Continuous	1	1
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0334167	0.0334167
Nonzeroes	219959	219959

Constraint Classification Properties
	Original	Presolved
Total	593	593
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	9	9
Set Partitioning	0	0
Set Packing	428	428
Set Covering	9	16
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	147	140
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	2.641474
Constraint %		0.168634	0.168634	0.168634	0.168634
Variable %		0.018018	0.228812	0.243243	0.432432
Score	0.735245

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	404077441	404077441	0	1e-07	1e-07	-	2018-10-10	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to leo2 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
leo1	easy	6731	6730	1	593	131218	COR@L test set	–	404227536.16	benchmark benchmark_suitable variable_bound set_packing set_covering mixed_binary
blp-ic98	easy	13640	13550	90	717	191947	M. Lübbecke	blp	4491.44758395	benchmark decomposition benchmark_suitable set_packing mixed_binary general_linear
blp-ar98	easy	16021	15806	215	1128	200601	M. Lübbecke	blp	6205.2147104	benchmark decomposition benchmark_suitable variable_bound set_packing equation_knapsack mixed_binary general_linear
blp-ir98	easy	6097	6031	66	486	79152	M. Lübbecke	blp	2342.315488	decomposition benchmark_suitable set_packing equation_knapsack mixed_binary general_linear
blp-ic97	easy	9845	9753	92	923	118149	M. Lübbecke	blp	4025.023580799999	decomposition benchmark_suitable set_packing mixed_binary general_linear

Reference

@misc{coral,
 key = {zzz coral},
 note = {http://coral.ie.lehigh.edu/data-sets/mixed-integer-instances/},
 title = {{COR@L} {MIP} {I}nstances},
 year = {2010}
}