mc7

decomposition benchmark_suitable variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
F. Ortega, L. Wolsey	3040	1920	1.04167e-03	easy	mc	3417	mc7.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	3040	3040
Constraints	1920	1920
Binaries	1520	1520
Integers	0	0
Continuous	1520	1520
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00104167	0.00104167
Nonzeroes	6080	6080

Constraint Classification Properties
	Original	Presolved
Total	1920	1920
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	1520	1520
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	400	400
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	3.089552
Constraint %		0.0520833	0.0675217	0.0520833	4.79167
Variable %		0.0657895	0.0814332	0.0657895	4.86842
Score	0.819416

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	3417	3417	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to mc7 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
mc8	easy	3040	1520	1520	1920	6080	F. Ortega, L. Wolsey	mc	1566	decomposition benchmark_suitable variable_bound mixed_binary
mc11	easy	3040	1520	1520	1920	6080	F. Ortega, L. Wolsey	mc	11688.99999999966	benchmark decomposition benchmark_suitable 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
p500x2988d	easy	5976	2988	2988	3488	11952	MIPLIB submission pool	pr_product	6	decomposition variable_bound mixed_binary
brasil	easy	6612	3306	3306	3364	13224	MIPLIB submission pool	–	13655	decomposition benchmark_suitable variable_bound mixed_binary

Reference

No bibliographic information available