f2gap801600

binary knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Salim Haddadi 1600 80 2.5e-02 easy f2gap 86678.999982707 f2gap801600.mps.gz

Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 1600 1600
Constraints 80 80
Binaries 1600 1600
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.025 0.025
Nonzeroes 3200 3200
Constraint Classification Properties
Original Presolved
Total 80 80
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
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 80 1
Integer Knapsack 0 0
Mixed Binary 0 79
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 0.301030
Constraint % 1.25 1.25 1.25 1.25
Variable % 1.75 1.75 1.75 1.75
Score 0.012281

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 86679 86679 6e-07 5.37e-05 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to f2gap801600 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 Status Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Objective Tags
f2gap40400 easy 400 400 0 0 40 800 Salim Haddadi f2gap 20771.99999999983 binary knapsack mixed_binary
f2gap401600 easy 1600 1600 0 0 40 3200 Salim Haddadi f2gap 82306.9999999945 binary mixed_binary
f2gap201600 easy 1600 1600 0 0 20 3200 Salim Haddadi f2gap 76453 binary mixed_binary
ic97_potential easy 728 450 73 205 1046 3138 L. Peeters 3941.99993090225 benchmark benchmark_suitable precedence mixed_binary general_linear
icir97_potential hard 2112 1235 422 455 3314 9942 MIPLIB submission pool 6325 precedence mixed_binary general_linear

Reference

No bibliographic information available

Last Update 2024 by Julian Manns
generated with R Markdown
© by Zuse Institute Berlin (ZIB)
Imprint