Submitter Variables Constraints Density Status Group Objective MPS File
G. Gamrath 7437 7160 3.7028e-04 easy -44565819157.51 maxgasflow.mps.gz

Transport momentum maximization in a capacitated gas network, allowing cycles. Solved by Gurobi 5.0 in 2882 seconds (May 2012).

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 7437 6800
Constraints 7160 6562
Binaries 2456 2254
Integers 0 0
Continuous 4981 4546
Implicit Integers 0 0
Fixed Variables 39 0
Nonzero Density 0.00037028 0.00040514
Nonzeroes 19717 18078
Constraint Classification Properties
Original Presolved
Total 7160 6562
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 507 409
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 1741 1645
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 3.019116
Constraint % 0.0329979 0.0903806 0.0494968 2.17786
Variable % 0.0430108 0.0865021 0.0430108 2.02151
Score 0.940290

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 -44565819158 -44565817201 0 0 0.0037887 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to maxgasflow 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
transportmoment 9685 2456 0 7229 9616 29541 G. Gamrath easy -3.063104e+09
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
dg012142 2080 640 0 1440 6310 14795 A. Miller hard 2.300867e+06
neos-4333596-skien 1005 460 0 545 812 5811 Jeff Linderoth neos-pseudoapplication-43 easy -1.461073e+07

Reference

No bibliographic information available

Last Update Nov 19, 2018 by Gregor Hendel
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