Submitter Variables Constraints Density Status Group Objective MPS File
Sam Allen 1072 2353 8.36658e-03 easy pigeon -15000 pigeon-16.mps.gz

Instance of 3D packing (container loading) problem

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 1072 928
Constraints 2353 2352
Binaries 928 880
Integers 0 0
Continuous 144 48
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00836658 0.00966162
Nonzeroes 21104 21088
Constraint Classification Properties
Original Presolved
Total 2353 2352
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 0 16
Set Packing 0 0
Set Covering 0 0
Cardinality 96 80
Invariant Knapsack 720 720
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 1 0
Integer Knapsack 0 0
Mixed Binary 1536 1536
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 % 21.7687 21.7687 21.7687 21.7687
Variable % 32.7586 32.7586 32.7586 32.7586
Score 0.439127

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 -15000 -15000 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to pigeon-16 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-13 754 637 0 117 1561 13871 Sam Allen pigeon easy -12000
pigeon-20 1580 1400 0 180 3661 33100 Sam Allen pigeon easy -19000
pigeon-10 490 400 0 90 931 8150 Sam Allen pigeon easy -9000
pigeon-08 344 272 0 72 601 5176 Sam Allen pigeon easy -7000
supportcase41 4725 2000 0 2725 28923 221321 Domenico Salvagnin open 32.03376809388*

Reference

No bibliographic information available

Last Update Nov 19, 2018 by Gregor Hendel
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