Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
---|---|---|---|---|---|---|---|
L. Peeters | 728 | 1046 | 4.12088e-03 | easy | – | 3941.99993090225 | ic97_potential.mps.gz |
A model for cyclic railway timetable optimization Imported from MIPLIB2010.
Detailed explanation of the following tables can be found here.
Original | Presolved | |
---|---|---|
Variables | 728 | 727 |
Constraints | 1046 | 1046 |
Binaries | 450 | 449 |
Integers | 73 | 73 |
Continuous | 205 | 205 |
Implicit Integers | 0 | 0 |
Fixed Variables | 0 | 0 |
Nonzero Density | 0.00412088 | 0.00412392 |
Nonzeroes | 3138 | 3136 |
Original | Presolved | |
---|---|---|
Total | 1046 | 1046 |
Empty | 0 | 0 |
Free | 0 | 0 |
Singleton | 0 | 0 |
Aggregations | 0 | 0 |
Precedence | 0 | 2 |
Variable Bound | 0 | 0 |
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 | 900 | 898 |
General Linear | 146 | 146 |
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 | 1.113943 | ||||
Constraint % | 0.191205 | 1.17909 | 0.956023 | 4.58891 | |
Variable % | 0.412655 | 1.55892 | 1.306740 | 5.50206 | |
Score | 0.137517 |
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 | 3942 | 3942 | 9e-07 | 9e-07 | 0 | - | 2018-10-10 | Solution imported from MIPLIB2010. |
1 | 3942 | 3942 | 2e-07 | 0e+00 | 0 | - | 2018-10-10 | Solution found during MIPLIB2017 problem selection. |
The following instances are most similar to ic97_potential 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 | Status | Variables | Binaries | Integers | Continuous | Constraints | Nonz. | Submitter | Group | Objective | Tags |
---|---|---|---|---|---|---|---|---|---|---|---|
icir97_potential | hard | 2112 | 1235 | 422 | 455 | 3314 | 9942 | MIPLIB submission pool | – | 6325 | precedence mixed_binary general_linear |
neos-5115478-kaveri | easy | 3114 | 2976 | 0 | 138 | 6498 | 19392 | Jeff Linderoth | neos-pseudoapplication-54 | 1233.99999999096 | numerics aggregations precedence mixed_binary |
neos-5107597-kakapo | easy | 3114 | 2976 | 0 | 138 | 6498 | 19392 | Jeff Linderoth | neos-pseudoapplication-54 | 3644.99999999952 | benchmark benchmark_suitable aggregations precedence mixed_binary |
supportcase26 | easy | 436 | 396 | 0 | 40 | 870 | 2492 | Michael Winkler | – | 1745.123813 | benchmark benchmark_suitable precedence mixed_binary |
timtab1 | easy | 397 | 77 | 94 | 226 | 171 | 829 | C. Liebchen, R. Möhring | timtab | 764771.99999978 | benchmark benchmark_suitable aggregations mixed_binary general_linear |
@phdthesis{Peeters2003,
author = {Leon Peeters},
language = {Dutch},
school = {Erasmus Universiteit Rotterdam},
title = {Cyclic Railway Timetable Optimization},
year = {2003}
}