van

precedence variable_bound mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
C. Mannino, E. Parrello 12481 27331 1.42853e-03 open 4.82363678923133* van.mps.gz

Telecommunications network model

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 12481 7552
Constraints 27331 22400
Binaries 192 192
Integers 0 0
Continuous 12289 7360
Implicit Integers 0 0
Fixed Variables 1 0
Nonzero Density 0.00142853 0.00285033
Nonzeroes 487296 482176
Constraint Classification Properties
Original Presolved
Total 27331 22400
Empty 0 0
Free 0 0
Singleton 4928 0
Aggregations 0 0
Precedence 128 128
Variable Bound 7552 7552
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 14723 14720
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 0.602060
Constraint % 14.3678 21.8391 25.5747 25.5747
Variable % 22.0310 33.3289 38.9779 38.9779
Score 0.424149

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 4.823637 4.823637 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to van 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
istanbul-no-cutoff easy 5282 30 0 5252 20346 71477 Utz-Uwe Haus 204.08170701 benchmark benchmark_suitable aggregations variable_bound knapsack mixed_binary
snip10x10-35r1budget17 open 47611 63 0 47548 213801 475334 Utz-Uwe Haus 73.82346956113* aggregations variable_bound invariant_knapsack mixed_binary
neos-5188808-nattai easy 14544 288 0 14256 29452 133686 Jeff Linderoth neos-pseudoapplication-98 0.110283623 benchmark decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality knapsack mixed_binary
neos-3759587-noosa easy 27029 4289 0 22740 72104 318169 Jeff Linderoth neos-pseudoapplication-61 48.334467769 benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack mixed_binary
neos-3755335-nizao easy 40938 5226 0 35712 111026 547794 Jeff Linderoth neos-pseudoapplication-61 50.0301565326 benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack mixed_binary

Reference

@article{FischettiLodi2003,
 author = {Fischetti, Matteo and Lodi, Andrea},
 issn = {0025-5610},
 issue = {1},
 journal = {Mathematical Programming},
 keyword = {Mathematics and Statistics},
 pages = {23-47},
 publisher = {Springer},
 title = {Local branching},
 volume = {98},
 year = {2003}
}

Last Update Jun 24, 2019 by Gregor Hendel
generated with R Markdown
© 2019 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
Imprint