Submitter Variables Constraints Density Status Group Objective MPS File
Kerem Akartunali 4019 3747 9.12864e-04 hard set3 159462.572721458 set3-20.mps.gz

Multi-item lot-sizing with backlogging. Solved by SCIP 3.1.1 parallelized by UG 0.7.5 linked to CPLEX 12.6 as an LP solver on HLRN III (https://www.hlrn.de/home/view/System3/CrayHardware). Due to time limit restrictions, four repeated runs, each starting from the checkpointing file of the previous run, were done. Each run had a time limit of 12 hours while using 6144 (runs 1) or 3072 cores (run 2 - 4).

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 4019 3347
Constraints 3747 3435
Binaries 1424 752
Integers 0 0
Continuous 2595 2595
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000912864 0.001086640
Nonzeroes 13747 12493
Constraint Classification Properties
Original Presolved
Total 3747 3435
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 576 936
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

Structure

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

value min median mean max
Components 1.230449
Constraint % 0.0291121 4.08843 3.98836 9.54876
Variable % 0.0746454 3.23619 3.11023 8.16123
Score 0.628989

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
1 159462.6 159462.6 0 0 0 - 2018-10-12 Solution imported from MIPLIB2010.

Similar instances in collection

The following instances are most similar to set3-20 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
set3-16 4019 1424 0 2595 3747 13747 Kerem Akartunali set3 open 143789.261502*
set3-09 4019 1424 0 2595 3747 13747 Kerem Akartunali set3 open 187000.75363*
set3-15 4019 1424 0 2595 3747 13747 Kerem Akartunali set3 hard 124886
set3-10 4019 1424 0 2595 3747 13747 Kerem Akartunali set3 hard 185179.043049708
neos-5041822-cockle 227668 149313 0 78355 546733 1362470 Jeff Linderoth neos-pseudoapplication-25 open 5728105.52906*

Reference

@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}
}

Last Update Nov 19, 2018 by Gregor Hendel
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