f2gap40400

binary knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Salim Haddadi 400 40 5e-02 easy f2gap 20772 f2gap40400.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 400 400
Constraints 40 40
Binaries 400 400
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.05 0.05
Nonzeroes 800 800
Constraint Classification Properties
Original Presolved
Total 40 40
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 40 1
Integer Knapsack 0 0
Mixed Binary 0 39
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 % 37.5 37.5 37.5 37.5
Variable % 56.5 56.5 56.5 56.5
Score 0.163125

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 20772 20772 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to f2gap40400 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
f2gap801600 easy 1600 1600 0 0 80 3200 Salim Haddadi f2gap 86679 binary knapsack mixed_binary
f2gap401600 easy 1600 1600 0 0 40 3200 Salim Haddadi f2gap 82307 binary mixed_binary
ic97_potential easy 728 450 73 205 1046 3138 L. Peeters 3942 benchmark benchmark_suitable precedence mixed_binary general_linear
f2gap201600 easy 1600 1600 0 0 20 3200 Salim Haddadi f2gap 76453 binary mixed_binary
icir97_potential open 2112 1235 422 455 3314 9942 MIPLIB submission pool 6325* precedence mixed_binary general_linear

Reference

No bibliographic information available

Last Update Mär 19, 2019 by Gregor Hendel
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