beasleyC1

decomposition aggregations variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
F. Ortega, L. Wolsey	2500	1750	1.14286e-03	easy	beasley	84.99999999999999	beasleyC1.mps.gz

Fixed cost network flow problems 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	2500	2498
Constraints	1750	1748
Binaries	1250	1248
Integers	0	0
Continuous	1250	1250
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00114286	0.00114416
Nonzeroes	5000	4996

Constraint Classification Properties
	Original	Presolved
Total	1750	1748
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	145	145
Precedence	0	0
Variable Bound	1250	1248
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	355	355
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	2.535294
Constraint %		0.0572738	0.281847	0.171821	8.36197
Variable %		0.0800000	0.291930	0.160000	8.80000
Score	0.946756

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	85	85	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to beasleyC1 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
beasleyC2	easy	2500	1250	1250	1750	5000	F. Ortega, L. Wolsey	beasley	144	decomposition benchmark_suitable aggregations variable_bound mixed_binary
beasleyC3	easy	2500	1250	1250	1750	5000	F. Ortega, L. Wolsey	beasley	753.9999999999128	benchmark decomposition benchmark_suitable aggregations variable_bound mixed_binary
berlin	easy	5304	2652	2652	2704	10608	MIPLIB submission pool	–	1043.999999997141	decomposition benchmark_suitable variable_bound mixed_binary
brasil	easy	6612	3306	3306	3364	13224	MIPLIB submission pool	–	13655	decomposition benchmark_suitable variable_bound mixed_binary
mc7	easy	3040	1520	1520	1920	6080	F. Ortega, L. Wolsey	mc	3417	decomposition benchmark_suitable variable_bound mixed_binary

Reference

No bibliographic information available