Submitter Variables Constraints Density Status Group Objective MPS File
Sam Allen 490 931 1.78654e-02 easy pigeon -9000 pigeon-10.mps.gz

Instance of 3D packing (container loading) problem

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 490 400
Constraints 931 930
Binaries 400 370
Integers 0 0
Continuous 90 30
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0178654 0.0218817
Nonzeroes 8150 8140
Constraint Classification Properties
Original Presolved
Total 931 930
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 0 10
Set Packing 0 0
Set Covering 0 0
Cardinality 60 50
Invariant Knapsack 270 270
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 1 0
Integer Knapsack 0 0
Mixed Binary 600 600
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 0.602060
Constraint % 21.5054 21.5054 21.5054 21.5054
Variable % 32.5000 32.5000 32.5000 32.5000
Score 0.435484

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 -9000 -9000 0 0 0 - 2018-10-12 Solution imported from MIPLIB2010.
1 2 -9000 -9000 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to pigeon-10 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
pigeon-08 344 272 0 72 601 5176 Sam Allen pigeon easy -7000
pigeon-13 754 637 0 117 1561 13871 Sam Allen pigeon easy -12000
pigeon-16 1072 928 0 144 2353 21104 Sam Allen pigeon easy -15000
pigeon-20 1580 1400 0 180 3661 33100 Sam Allen pigeon easy -19000
supportcase41 4725 2000 0 2725 28923 221321 Domenico Salvagnin open 32.03376809388*

Reference

@article{AllenBurkeMarecek2010,
 author = {Sam D. Allen and Edmund K. Burke and Jakub Marecek},
 journal = {Technical Report, University of Nottingham},
 title = {A Space-Indexed Formulation of Packing Boxes into a Larger Box},
 year = {2010}
}

@article{AllenBurkeMarecek2011,
 author = {Sam D. Allen and Edmund K. Burke and Jakub Marecek},
 journal = {Oper. Res. Lett.},
 number = {1},
 pages = {20--24},
 title = {A Space-Indexed Formulation of Packing Boxes into a Larger Box},
 volume = {40},
 year = {2012}
}

Last Update Nov 09, 2018 by Gregor Hendel
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