neos-954925

binary precedence set_packing invariant_knapsack binpacking knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
NEOS Server Submission 84718 2989 3.33692e-03 hard neos-pseudoapplication-48 -237.7688889 neos-954925.mps.gz

Imported from the MIPLIB2010 submissions. The instance was solved using up to 40 threads in 120 sec. using Gurobi 9.0

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 84718 84672
Constraints 2989 2989
Binaries 84718 84672
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00333692 0.00333856
Nonzeroes 844983 844937
Constraint Classification Properties
Original Presolved
Total 2989 2989
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 1
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 1860 1859
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 404 404
Equation Knapsack 0 0
Bin Packing 348 348
Knapsack 137 377
Integer Knapsack 0 0
Mixed Binary 240 0
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 1.672098
Constraint % 0.033456 0.821854 0.936768 1.47206
Variable % 0.002360 2.171350 2.339620 3.57970
Score 0.367379

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion
ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
2 -237.7689 0 0 0 Hans Mittelmann 2019-12-11 Optimal solution found with Gurobi 9.0 using up to 40 threads in 120 sec.
1 -237.7689 -237.7689 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-954925 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
neos-956971 easy 57756 57756 0 0 2527 483560 NEOS Server Submission neos-pseudoapplication-48 -237.7688889 binary benchmark_suitable precedence set_packing invariant_knapsack binpacking knapsack
neos-957143 easy 57756 57756 0 0 2767 497676 NEOS Server Submission neos-pseudoapplication-48 -237.7688889 binary benchmark_suitable precedence set_packing invariant_knapsack binpacking knapsack
neos-957323 easy 57756 57756 0 0 3757 499656 NEOS Server Submission neos-pseudoapplication-48 -237.7566815 benchmark binary benchmark_suitable precedence variable_bound set_packing invariant_knapsack binpacking knapsack
neos-948346 easy 57855 57855 0 0 1570 540443 NEOS Server Submission neos-pseudoapplication-48 -227.6 binary benchmark_suitable set_packing invariant_knapsack binpacking knapsack
neos-960392 easy 59376 59376 0 0 4744 189503 NEOS Server Submission neos-pseudoapplication-94 -238 benchmark binary benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack

Reference

No bibliographic information available

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