Submitter Variables Constraints Density Status Group Objective MPS File
T. Koch 5174 42680 4.67295e-04 easy momentum 109143.4935 momentum1.mps.gz

Snapshot based UMTS planning problem, having a very wide dynamic range in the matrix coefficients and tending to be numerically unstable. Solved with Gurobi 4.5.1 on a 12-core Linux system in 3590.41 sec.

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 5174 3813
Constraints 42680 26489
Binaries 2349 1664
Integers 0 0
Continuous 2825 2149
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000467295 0.000658617
Nonzeroes 103191 66522
Constraint Classification Properties
Original Presolved
Total 42680 26489
Empty 0 0
Free 0 0
Singleton 52 0
Aggregations 6 10
Precedence 2445 1543
Variable Bound 33111 20198
Set Partitioning 92 85
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 38 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 6936 4653
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 0.698970
Constraint % 0.0037800 20.6086 0.0132130 82.4040
Variable % 0.0521921 23.9040 0.0782881 95.4071
Score 0.038149

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
2 1 109143.5 109143.5 0 8e-07 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.
1 2 109143.5 109143.5 0 1e-06 0 - 2018-10-11 Solution imported from MIPLIB2010.

Similar instances in collection

The following instances are most similar to momentum1 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
neos-5196530-nuhaka 14544 9792 0 4752 42124 171702 Jeff Linderoth neos-pseudoapplication-32 open 0.006837915298429*
neos-5195221-niemur 14546 9792 0 4754 42256 176586 Jeff Linderoth neos-pseudoapplication-32 easy 0.0038354326
bmoipr2 20503 8434 0 12069 13897 54649 Sean MacDermant easy -46416168.298
neos-5193246-nerang 14546 9792 0 4754 42256 175794 Jeff Linderoth neos-pseudoapplication-32 easy 0.0382197621728
neos-4358725-tagus 11494 4898 0 6596 22777 59925 Jeff Linderoth neos-pseudoapplication-57 open 4206.140099965*

Reference

@techreport{MOMENTUM-D43,
 author = {A. {Eisenbl\"atter} and A. {F\"ugenschuh} and E.R. Fledderus and H.-F. Geerdes and B. Heideck and D. Junglas and T. Koch and T. {K\"urner} and A. Martin},
 editor = {A. Martin},
 instance = {momentum1,momentum2,momentum3},
 institution = {IST-2000-28088 MOMENTUM},
 language = {English},
 number = {D4.3},
 title = {Mathematical Methods for Automatic Optimization of {UMTS} Radio Networks},
 year = {2003}
}

Last Update Nov 09, 2018 by Gregor Hendel
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