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.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
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
Constraint Classification Properties
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

Structure

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

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

Best Known Solution(s)

No solution available for set3-15 .

Similar instances in collection

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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
set3-09 4019 1424 0 2595 3747 13747 Kerem Akartunali set3 open 187000.75363*
set3-10 4019 1424 0 2595 3747 13747 Kerem Akartunali set3 hard 185179.043049708
set3-16 4019 1424 0 2595 3747 13747 Kerem Akartunali set3 open 143789.261502*
set3-20 4019 1424 0 2595 3747 13747 Kerem Akartunali set3 hard 159462.572721458
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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