berlin

decomposition benchmark_suitable variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	5304	2704	7.39645e-04	easy	–	1043.999999997141	berlin.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	5304	5304
Constraints	2704	2704
Binaries	2652	2652
Integers	0	0
Continuous	2652	2652
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000739645	0.000739645
Nonzeroes	10608	10608

Constraint Classification Properties
	Original	Presolved
Total	2704	2704
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	2652	2652
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	52	52
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	3.423737
Constraint %		0.0369822	0.0369822	0.0369822	0.0369822
Variable %		0.0377074	0.0377074	0.0377074	0.0377074
Score	0.980399

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	1044	1044	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to berlin 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
brasil	easy	6612	3306	3306	3364	13224	MIPLIB submission pool	–	13655	decomposition benchmark_suitable variable_bound mixed_binary
thor50dday	hard	106261	53131	53130	53360	212060	Daniel Rehfeldt	–	40417	benchmark 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
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

Reference

No bibliographic information available