Submitter Variables Constraints Density Status Group Objective MPS File
C. Raack 4892 545 5.35793e-03 open ger50 5235.5174 ger50-17-ptp-pop-3t.mps.gz

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

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 4892 4860
Constraints 545 544
Binaries 0 0
Integers 540 540
Continuous 4352 4320
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00535793 0.00536757
Nonzeroes 14285 14191
Constraint Classification Properties
Original Presolved
Total 545 544
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 272 272
Indicator 0 0

Structure

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

value min median mean max
Components 2.181844
Constraint % 0.1838240 0.495471 0.1838240 3.12500
Variable % 0.0823045 0.662252 0.0823045 5.55556
Score 0.720180

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 5235.517 5235.517 0 2e-07 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ger50-17-ptp-pop-3t 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
ger50-17-ptp-pop-6t 4892 0 540 4352 545 14285 C. Raack ger50 open 8947.5312*
ger50_17_trans 22414 0 18062 4352 499 172035 C. Raack ger50 hard 7393.2618
ger50-17-trans-dfn-3t 22414 0 18062 4352 499 172035 C. Raack ger50 open 4004.5816*
ger50-17-trans-pop-3t 22414 0 18062 4352 499 172035 C. Raack ger50 open 4038.441*
ta1-UUM 2288 0 605 1683 439 5654 MIPLIB submission pool network_design easy 7518328.2

Reference

No bibliographic information available

Last Update Nov 17, 2018 by Gregor Hendel
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