thor50dday

benchmark decomposition benchmark_suitable variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Daniel Rehfeldt	106261	53360	3.73998e-05	hard	–	40417	thor50dday.mps.gz

Steiner tree problem in graphs instance, consisting of a complete graph with 231 vertices of which 50 are terminals. The vertices correspond to cities (mostly capitals) around the world, the edges weights correspond to the distances in km.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	106261	106260
Constraints	53360	53360
Binaries	53131	53130
Integers	0	0
Continuous	53130	53130
Implicit Integers	0	0
Fixed Variables	1	0
Nonzero Density	3.73998e-05	3.74001e-05
Nonzeroes	212060	212060

Constraint Classification Properties
	Original	Presolved
Total	53360	53360
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	53130	53130
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	230	230
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	4.725348
Constraint %		0.00187	0.00187	0.00187	0.00187
Variable %		0.00188	0.00188	0.00188	0.00188
Score	0.995671

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	40417	40417	0	0	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to thor50dday 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
berlin	easy	5304	2652	2652	2704	10608	MIPLIB submission pool	–	1043.999999997141	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
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

Reference

No bibliographic information available