bmoipr2

decomposition numerics aggregations variable_bound set_packing mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Sean MacDermant	20503	13897	1.91798e-04	easy	–	-46416168.2981393	bmoipr2.mps.gz

BMO IPR2 Logistics

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	20503	17265
Constraints	13897	12263
Binaries	8434	7616
Integers	0	0
Continuous	12069	9649
Implicit Integers	0	0
Fixed Variables	2420	0
Nonzero Density	0.000191798	0.000233010
Nonzeroes	54649	49333

Constraint Classification Properties
	Original	Presolved
Total	13897	12263
Empty	0	0
Free	0	0
Singleton	814	0
Aggregations	0	524
Precedence	0	0
Variable Bound	7659	7025
Set Partitioning	0	0
Set Packing	1939	1939
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	3485	2775
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	3.433770
Constraint %		0.00815	0.0285081	0.0326184	0.0652369
Variable %		0.00975	0.0275927	0.0292640	0.0536507
Score	0.773448

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	-46416168	-46415592	7.1e-06	0	1e-07	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to bmoipr2 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.