Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
---|---|---|---|---|---|---|---|
Kerem Akartunali | 4019 | 3747 | 9.12864e-04 | hard | set3 | 124886 | set3-15.mps.gz |
Multi-item lot-sizing with backlogging. The problem was solved with CPLEX 12.4 in approximately 64.5 hours. Imported from MIPLIB2010.
Detailed explanation of the following tables can be found here.
Original | Presolved | |
---|---|---|
Variables | 4019 | 3347 |
Constraints | 3747 | 3390 |
Binaries | 1424 | 752 |
Integers | 0 | 0 |
Continuous | 2595 | 2595 |
Implicit Integers | 0 | 0 |
Fixed Variables | 0 | 0 |
Nonzero Density | 0.000912864 | 0.001093130 |
Nonzeroes | 13747 | 12403 |
Original | Presolved | |
---|---|---|
Total | 3747 | 3390 |
Empty | 0 | 0 |
Free | 0 | 0 |
Singleton | 0 | 0 |
Aggregations | 0 | 0 |
Precedence | 576 | 891 |
Variable Bound | 654 | 612 |
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 | 2517 | 1887 |
General Linear | 0 | 0 |
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 | 1.230449 | ||||
Constraint % | 0.0294985 | 4.05973 | 3.95280 | 9.58702 | |
Variable % | 0.0746454 | 3.23619 | 3.11023 | 8.16123 | |
Score | 0.624521 |
No solution available for set3-15 .
The following instances are most similar to set3-15 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 |
---|---|---|---|---|---|---|---|---|---|---|---|
set3-09 | open | 4019 | 1424 | 0 | 2595 | 3747 | 13747 | Kerem Akartunali | set3 | 176497.15* | precedence variable_bound mixed_binary |
set3-10 | hard | 4019 | 1424 | 0 | 2595 | 3747 | 13747 | Kerem Akartunali | set3 | 185179.043049708 | precedence variable_bound mixed_binary |
set3-16 | open | 4019 | 1424 | 0 | 2595 | 3747 | 13747 | Kerem Akartunali | set3 | 134040.4097522878* | precedence variable_bound mixed_binary |
set3-20 | hard | 4019 | 1424 | 0 | 2595 | 3747 | 13747 | Kerem Akartunali | set3 | 159462.572721458 | precedence variable_bound mixed_binary |
neos-5041822-cockle | open | 227668 | 149313 | 0 | 78355 | 546733 | 1362468 | Jeff Linderoth | neos-pseudoapplication-25 | 5724245.704467608* | aggregations precedence variable_bound set_packing mixed_binary |
@article{AkartunaliMiller2009,
author = {Akartunal{\i}, K. and A. J. Miller},
journal = {European Journal of Operational Research},
pages = {396-411},
title = {A Heuristic Approach for Big Bucket Multi-Level Production Planning
Problems},
volume = {193},
year = {2009}
}
@techreport{AkartunaliMiller2010,
author = {Akartunal{\i}, K. and A. J. Miller},
institution = {Optimization Online},
number = {http://www.optimization-online.org/DB_HTML/2007/05/1668.html},
title = {Computational Analysis of Lower Bounds for Big Bucket Production
Planning Problems},
year = {2007}
}
@misc{multilsb,
key = {zzz multilsb},
note = {http://personal.strath.ac.uk/kerem.akartunali/research/multi-lsb/},
title = {{MULTILSB}: {M}ulti-{I}tem {L}ot-{S}izing with {B}acklogging},
year = {2009}
}