bmocbd

decomposition numerics aggregations variable_bound set_packing mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Sean MacDermant	404875	153324	2.05766e-05	easy	bmocbd	-32041010095050	bmocbd.mps.gz

BMO CBD

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	404875	278455
Constraints	153324	26922
Binaries	125752	125281
Integers	0	0
Continuous	279123	153174
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	2.05766e-05	1.19976e-04
Nonzeroes	1277330	899410

Constraint Classification Properties
	Original	Presolved
Total	153324	26922
Empty	0	0
Free	0	0
Singleton	632	0
Aggregations	32	14
Precedence	0	0
Variable Bound	1726	1726
Set Partitioning	0	0
Set Packing	11238	11238
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	139696	13944
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	4.112806
Constraint %		0.003710	0.00771	0.00371	51.8461
Variable %		0.000494	0.00531	0.00247	37.8508
Score	0.803747

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	-3.204101e+13	-3.204101e+13	0	0	1.461435	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to bmocbd 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.