Submitter Variables Constraints Density Status Group Objective MPS File
Sam Allen 1580 3661 5.72231e-03 easy pigeon -19000 pigeon-20.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 1580 1400
Constraints 3661 3660
Binaries 1400 1340
Integers 0 0
Continuous 180 60
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00572231 0.00645589
Nonzeroes 33100 33080
Constraint Classification Properties
Original Presolved
Total 3661 3660
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 0 20
Set Packing 0 0
Set Covering 0 0
Cardinality 120 100
Invariant Knapsack 1140 1140
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 1 0
Integer Knapsack 0 0
Mixed Binary 2400 2400
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 % 21.8579 21.8579 21.8579 21.8579
Variable % 32.8571 32.8571 32.8571 32.8571
Score 0.440281

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 -19000 -19000 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to pigeon-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
pigeon-16 1072 928 0 144 2353 21104 Sam Allen pigeon easy -15000
pigeon-13 754 637 0 117 1561 13871 Sam Allen pigeon easy -12000
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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