supportcase31

decomposition numerics precedence set_packing invariant_knapsack knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Domenico Salvagnin 488882 26195 1.432e-04 open -3720089.081* supportcase31.mps.gz

Instance coming from IBM developerWorks forum with unknown application.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 488882 488861
Constraints 26195 25415
Binaries 488760 488740
Integers 0 0
Continuous 122 121
Implicit Integers 0 0
Fixed Variables 1 0
Nonzero Density 0.000143200 0.000147478
Nonzeroes 1833860 1832320
Constraint Classification Properties
Original Presolved
Total 26195 25415
Empty 0 0
Free 0 0
Singleton 20 0
Aggregations 0 0
Precedence 1520 760
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 24454 24454
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 40 40
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 40
Integer Knapsack 0 0
Mixed Binary 161 121
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 4.387354
Constraint % 0.00393 0.00407 0.00393 3.21857
Variable % 0.00409 0.00410 0.00409 0.16773
Score 0.991998

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 -3720089 -3720089 0 0 0 - 2018-10-15 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to supportcase31 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
gmut-76-50 open 68865 68859 0 6 2586 470045 Nora Konnyu gmu -14171397.828* variable_bound set_packing mixed_binary
gmut-75-50 hard 68865 68859 0 6 2565 571475 Nora Konnyu gmu -14180699.047 variable_bound set_packing mixed_binary
gmut-76-40 open 24338 24332 0 6 2586 153017 Nora Konnyu gmu -14169441.78* variable_bound set_packing mixed_binary
blp-ic98 easy 13640 13550 0 90 717 191947 M. Lübbecke blp 4491.44758395 benchmark decomposition benchmark_suitable set_packing mixed_binary general_linear
blp-ic97 easy 9845 9753 0 92 923 118149 M. Lübbecke blp 4025.0235808 decomposition benchmark_suitable set_packing mixed_binary general_linear

Reference

No bibliographic information available

Last Update Okt 02, 2019 by Gregor Hendel
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