Submitter Variables Constraints Density Status Group Objective MPS File
G. Gamrath 9685 9616 3.17198e-04 easy -3063103721.717 transportmoment.mps.gz

Transport momentum maximization in a capacitated gas network, cycles are forbidden by pseudo pressures. Solved by Gurobi 4.6.1 (12 threads) in 30 seconds (January 2012).

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 9685 9048
Constraints 9616 9018
Binaries 2456 2254
Integers 0 0
Continuous 7229 6794
Implicit Integers 0 0
Fixed Variables 39 0
Nonzero Density 0.000317198 0.000337105
Nonzeroes 29541 27506
Constraint Classification Properties
Original Presolved
Total 9616 9018
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 507 603
Precedence 0 0
Variable Bound 4912 4508
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 4197 3907
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 3.217221
Constraint % 0.0117412 0.0433528 0.0234824 1.49114
Variable % 0.0216849 0.0498700 0.0325274 1.65890
Score 0.712702

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 -3063103722 -3063102792 1e-06 0 0.0003322 - 2018-10-11 Solution imported from MIPLIB2010.
1 -3063103549 -3063102792 0e+00 0 0.0000003 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to transportmoment 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
maxgasflow 7437 2456 0 4981 7160 19717 G. Gamrath easy -4.456582e+10
dsbmip 1886 192 0 1694 1182 7366 MIPLIB submission pool easy -3.051982e+02
neos-5078479-escaut 3471 1330 0 2141 3442 9062 Jeff Linderoth neos-pseudoapplication-35 easy 9.682338e+03
b2c1s1 3872 288 0 3584 3904 11408 M. Vyve, Y. Pochet c1s1 hard 2.568790e+04
b1c1s1 3872 288 0 3584 3904 11408 M. Vyve, Y. Pochet c1s1 hard 2.454425e+04

Reference

No bibliographic information available

Last Update Nov 19, 2018 by Gregor Hendel
generated with R Markdown
© 2018 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
Imprint