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.

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.

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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
brasil 6612 3306 0 3306 3364 13224 MIPLIB submission pool easy 13655
berlin 5304 2652 0 2652 2704 10608 MIPLIB submission pool easy 62
mc11 3040 1520 0 1520 1920 6080 F. Ortega, L. Wolsey mc easy 11689
mc7 3040 1520 0 1520 1920 6080 F. Ortega, L. Wolsey mc easy 3417
mc8 3040 1520 0 1520 1920 6080 F. Ortega, L. Wolsey mc easy 1566

Reference

No bibliographic information available

Last Update Nov 09, 2018 by Gregor Hendel
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