ger50_17_trans

numerics mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
C. Raack 22414 499 1.53814e-02 hard ger50 7393.2618 ger50_17_trans.mps.gz

Multi-layer network design problem using a link-flow formulation over a path-flow formulation.

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 22414 22382
Constraints 499 498
Binaries 0 0
Integers 18062 18062
Continuous 4352 4320
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0153814 0.0154259
Nonzeroes 172035 171941
Constraint Classification Properties
Original Presolved
Total 499 498
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
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 273 272
General Linear 226 226
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 1.230449
Constraint % 3.41365 3.41365 3.41365 3.41365
Variable % 1.20633 1.20633 1.20633 1.20633
Score 0.539596

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 7396.262 7396.262 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ger50_17_trans 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 Integers Continuous Constraints Nonz. Submitter Group Objective Tags
ger50-17-trans-dfn-3t open 22414 0 18062 4352 499 172035 C. Raack ger50 4004.5816* mixed_binary general_linear
ger50-17-trans-pop-3t open 22414 0 18062 4352 499 172035 C. Raack ger50 4038.441* mixed_binary general_linear
ger50-17-ptp-pop-3t open 4892 0 540 4352 545 14285 C. Raack ger50 5235.5174* mixed_binary general_linear
ger50-17-ptp-pop-6t open 4892 0 540 4352 545 14285 C. Raack ger50 8947.5312* mixed_binary general_linear
ta1-UUM easy 2288 0 605 1683 439 5654 MIPLIB submission pool network_design 7518328.2 decomposition numerics aggregations mixed_binary general_linear

Reference

@inproceedings{BleyMenneKlaehneRaackWessaely2008,
 author = {Andreas Bley and Ullrich Menne and Roman Klaehne and
Christian Raack and Roland Wessaely},
 booktitle = {Proceedings of the 5th Polish-German Teletraffic Symposium},
 language = {english},
 pages = {107--116},
 title = {Multi-layer network design -- {A} model-based
optimization approach},
 year = {2008}
}

Last Update Mär 19, 2019 by Gregor Hendel
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