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.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
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
Constraint Classification Properties
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

Structure

Available nonzero structure and decomposition information. Further information can be found here.

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

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
2 1 -39280521 -39280521 0 0 0.0e+00 - 2018-10-12 Solution imported from MIPLIB2010.
1 2 -39280175 -39280175 0 0 2.9e-06 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
reblock115 1150 1150 0 0 4735 13724 Andreas Bley reblock easy -36800603
reblock420 4200 4200 0 0 62800 138670 Andreas Bley reblock easy -517793000
reblock166 1660 1660 0 0 17024 39442 Andreas Bley reblock easy -600052169
mine-166-5 830 830 0 0 8429 19412 Andreas Bley mine easy -566395708
mine-90-10 900 900 0 0 6270 15407 Andreas Bley mine easy -784302338

Reference

@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}
}

Last Update Nov 09, 2018 by Gregor Hendel
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