Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
---|---|---|---|---|---|---|---|
Gleb Belov | 13104 | 17470 | 9.80475e-04 | easy | piperout | 8124 | piperout-d27.mps.gz |
Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing
Detailed explanation of the following tables can be found here.
Original | Presolved | |
---|---|---|
Variables | 13104 | 11959 |
Constraints | 17470 | 16196 |
Binaries | 12931 | 11803 |
Integers | 149 | 133 |
Continuous | 24 | 23 |
Implicit Integers | 0 | 6 |
Fixed Variables | 19 | 0 |
Nonzero Density | 0.000980475 | 0.000997284 |
Nonzeroes | 224457 | 193162 |
Original | Presolved | |
---|---|---|
Total | 17470 | 16196 |
Empty | 0 | 0 |
Free | 0 | 0 |
Singleton | 0 | 0 |
Aggregations | 247 | 247 |
Precedence | 7226 | 7061 |
Variable Bound | 111 | 111 |
Set Partitioning | 92 | 4210 |
Set Packing | 19 | 18 |
Set Covering | 0 | 1636 |
Cardinality | 4570 | 0 |
Invariant Knapsack | 4889 | 2601 |
Equation Knapsack | 0 | 0 |
Bin Packing | 7 | 7 |
Knapsack | 17 | 5 |
Integer Knapsack | 3 | 4 |
Mixed Binary | 12 | 22 |
General Linear | 277 | 274 |
Indicator | 0 | 0 |
Available nonzero structure and decomposition information. Further information can be found here.
Decomposed structure of original problem (dec-file)
Decomposed structure after trivial presolving (dec-file)
value | min | median | mean | max | |
---|---|---|---|---|---|
Components | 1.591065 | ||||
Constraint % | 0.0061800 | 2.32132 | 2.76062 | 8.46097 | |
Variable % | 0.0166945 | 2.62411 | 3.02170 | 10.13360 | |
Score | 0.847019 |
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 | 8124 | 8124 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |
The following instances are most similar to piperout-d27 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.
@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",
}