gr4x6

variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	48	34	5.88235e-02	easy	–	202.3499999999979	gr4x6.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	48	48
Constraints	34	34
Binaries	24	24
Integers	0	0
Continuous	24	24
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0588235	0.0588235
Nonzeroes	96	96

Constraint Classification Properties
	Original	Presolved
Total	34	34
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	24	24
Set Partitioning	0	0
Set Packing	0	0
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	10	10
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	0.845098
Constraint %		14.7059	14.7059	14.7059	14.7059
Variable %		16.6667	16.6667	16.6667	16.6667
Score	0.735294

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	202.35	202.35	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to gr4x6 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
g503inf	easy	48	24	24	41	144	MIPLIB submission pool	–	Infeasible	infeasible variable_bound binpacking knapsack mixed_binary
ran12x21	easy	504	252	252	285	1008	J. Aronson	ran	3663.999999980964	decomposition benchmark_suitable variable_bound mixed_binary
ran13x13	easy	338	169	169	195	676	J. Aronson	ran	3252	decomposition benchmark_suitable variable_bound mixed_binary
aflow30a	easy	842	421	421	479	2091	T. Achterberg	aflow	1158	decomposition benchmark_suitable variable_bound set_partitioning mixed_binary
ran14x18-disj-8	easy	504	252	252	447	10277	J. Aronson	ran	3712	benchmark benchmark_suitable variable_bound set_covering mixed_binary

Reference

No bibliographic information available