ab71-20-100

binary decomposition numerics precedence set_packing

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	6689	6380	9.8325e-04	easy	ab	-10420305975	ab71-20-100.mps.gz

Imported from the MIPLIB2010 submissions.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	6689	6688
Constraints	6380	6374
Binaries	6689	6688
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000983250	0.000984205
Nonzeroes	41961	41956

Constraint Classification Properties
	Original	Presolved
Total	6380	6374
Empty	3	0
Free	0	0
Singleton	1	0
Aggregations	0	0
Precedence	6255	6253
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	121	121
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	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	2.637490
Constraint %		0.0313775	0.226563	0.0784437	1.83558
Variable %		0.0448498	0.230843	0.0896995	1.76409
Score	0.972646

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	-10420305975	-10420305975	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ab71-20-100 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	Constraints	Nonz.	Submitter	Group	Objective	Tags
ab72-40-100	easy	12370	12370	11671	72137	MIPLIB submission pool	ab	-11186620442	binary decomposition numerics precedence set_packing
ab69-40-100	easy	12622	12622	11911	74233	MIPLIB submission pool	ab	-11186281442	binary decomposition numerics precedence set_packing
ab67-40-100	easy	12812	12812	12092	75871	MIPLIB submission pool	ab	-11186253442	binary decomposition numerics precedence set_packing
ab51-40-100	easy	12675	12675	11893	72745	MIPLIB submission pool	ab	-10420305975	binary decomposition numerics precedence set_packing
reblock354	hard	3540	3540	19906	52901	Andreas Bley	reblock	-39280521.2281657	binary precedence knapsack

Reference

No bibliographic information available