Submitter Variables Constraints Density Status Group Objective MPS File
Gleb Belov 10399 14589 2.96346e-04 easy piperout 125055 piperout-08.mps.gz

Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 10399 7907
Constraints 14589 9078
Binaries 10245 7776
Integers 130 108
Continuous 24 23
Implicit Integers 0 28
Fixed Variables 14 0
Nonzero Density 0.000296346 0.000416009
Nonzeroes 44959 29861
Constraint Classification Properties
Original Presolved
Total 14589 9078
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 49 45
Precedence 4697 3135
Variable Bound 6762 4224
Set Partitioning 46 56
Set Packing 19 18
Set Covering 0 516
Cardinality 14 0
Invariant Knapsack 2845 933
Equation Knapsack 0 2
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 1 4
Mixed Binary 12 10
General Linear 144 135
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 % 0.209297 23.0502 2.70434 86.5829
Variable % 0.238014 10.4783 1.79644 38.0823
Score 0.590616

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 125055 125055 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to piperout-08 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
piperout-03 9526 9373 129 24 12246 39067 Gleb Belov piperout easy 74982
piperout-27 11659 11514 121 24 18442 54662 Gleb Belov piperout easy 8124
piperout-d20 11961 11788 149 24 15562 190915 Gleb Belov piperout easy 29948
supportcase17 1381 732 235 414 2108 5253 Michael Winkler easy 1330
piperout-d27 13104 12931 149 24 17470 224457 Gleb Belov piperout easy 8124

Reference

@Inbook{Belov2017,
author="Belov, Gleb
and Garcia de la BAnda, Maria
and Czauderna, Tobias
and Wybrow, Michael
and Wallace, Mark",
editor="Rueher, Michel",
title="An Optimization Model for 3D Pipe Routing with Flexibility Constraints",
bookTitle="Principles and Practice of Constraint Programming: 23rd International Conference, CP 2017, Proceedings",
year="2017",
publisher="Springer International Publishing",
}

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