Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
---|---|---|---|---|---|---|---|
Andreas Bley | 3540 | 19906 | 7.50718e-04 | hard | reblock | -39280521.2281657 | reblock354.mps.gz |
Multi-period mine production scheduling instance. Solved using ug[SCIP/spx], a distributed massively parallel version of SCIP run on 2,000 cores at the HLRN-II super computer facility. Imported from MIPLIB2010.
Detailed explanation of the following tables can be found here.
Original | Presolved | |
---|---|---|
Variables | 3540 | 3540 |
Constraints | 19906 | 19906 |
Binaries | 3540 | 3540 |
Integers | 0 | 0 |
Continuous | 0 | 0 |
Implicit Integers | 0 | 0 |
Fixed Variables | 0 | 0 |
Nonzero Density | 0.000750718 | 0.000750718 |
Nonzeroes | 52901 | 52901 |
Original | Presolved | |
---|---|---|
Total | 19906 | 19906 |
Empty | 0 | 0 |
Free | 0 | 0 |
Singleton | 0 | 0 |
Aggregations | 0 | 0 |
Precedence | 19886 | 19886 |
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 | 20 | 20 |
Integer Knapsack | 0 | 0 |
Mixed Binary | 0 | 0 |
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 | 1.301030 | ||||
Constraint % | 0.0452125 | 5.25787 | 0.0452125 | 99.0857 | |
Variable % | 0.2824860 | 5.26316 | 0.2824860 | 94.9153 | |
Score | 0.058498 |
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 | -39280175 | -39280175 | 0 | 0 | 2.9e-06 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |
1 | -39280521 | -39280521 | 0 | 0 | 0.0e+00 | - | 2018-10-12 | Solution imported from MIPLIB2010. |
The following instances are most similar to reblock354 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 |
---|---|---|---|---|---|---|---|---|---|---|---|
reblock115 | easy | 1150 | 1150 | 0 | 0 | 4735 | 13724 | Andreas Bley | reblock | -36800603.2332 | benchmark binary benchmark_suitable precedence knapsack |
reblock420 | easy | 4200 | 4200 | 0 | 0 | 62800 | 138670 | Andreas Bley | reblock | -517793000 | binary benchmark_suitable precedence knapsack |
reblock166 | easy | 1660 | 1660 | 0 | 0 | 17024 | 39442 | Andreas Bley | reblock | -600052168.91 | binary benchmark_suitable precedence knapsack |
mine-166-5 | easy | 830 | 830 | 0 | 0 | 8429 | 19412 | Andreas Bley | mine | -566395707.9 | binary benchmark_suitable precedence knapsack |
mine-90-10 | easy | 900 | 900 | 0 | 0 | 6270 | 15407 | Andreas Bley | mine | -784302337.6332 | binary benchmark_suitable precedence knapsack |
@article{BleyBolandFrickeFroyland2009,
author = {A. Bley and N. Boland and C. Fricke and G. Froyland},
journal = {Computers and Operations Research},
language = {English},
pages = {1641--1647},
title = {A strengthened formulation and cutting planes for the open pit
mine production scheduling problem},
volume = {37},
year = {2010}
}
@techreport{ShinanoAchterbergBertholdHeinzKoch2010TR,
author = {Yuji Shinano and Tobias Achterberg and Timo Berthold and
Stefan Heinz and Thorsten Koch},
institution = {Zuse Institute Berlin},
number = {ZR 10-27},
title = {Para{SCIP} -- a parallel extension of {SCIP}},
year = {2010}
}