bc

numerics variable_bound set_packing mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	1751	1913	6.77895e-02	easy	bc	7	bc.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	1751	1751
Constraints	1913	1913
Binaries	483	483
Integers	0	1
Continuous	1268	1267
Implicit Integers	0	1
Fixed Variables	0	0
Nonzero Density	0.0677895	0.0677895
Nonzeroes	227072	227072

Constraint Classification Properties
	Original	Presolved
Total	1913	1913
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	966	966
Set Partitioning	0	0
Set Packing	161	161
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	786	785
General Linear	0	1
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	2.209515
Constraint %		0.365917	0.365917	0.365917	0.365917
Variable %		0.342661	0.342661	0.342661	0.342661
Score	0.587108

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	7	7	0	1e-07	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to bc 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
bc1	easy	1751	252	0	1499	1913	227072	MIPLIB submission pool	bc	3.3383625476	numerics variable_bound set_packing mixed_binary
neos-4960896-besbre	easy	6149	1809	0	4340	14793	98690	Jeff Linderoth	neos-pseudoapplication-59	Unbounded	numerics precedence variable_bound set_packing mixed_binary
momentum3	open	13532	6598	1	6933	56822	562712	T. Koch	momentum	173202.1864147565*	numerics aggregations precedence variable_bound set_partitioning binpacking mixed_binary general_linear
neos-4954340-beaury	easy	7850	2544	0	5306	20162	77435	Jeff Linderoth	neos-pseudoapplication-59	Unbounded	numerics precedence variable_bound set_packing mixed_binary
neos-4954357-bednja	easy	3885	1231	0	2654	9641	49441	Jeff Linderoth	neos-pseudoapplication-59	Unbounded	numerics precedence variable_bound set_packing mixed_binary

Reference

No bibliographic information available