neos-4531126-vouga

binary decomposition numerics set_partitioning cardinality invariant_knapsack binpacking mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Jeff Linderoth 169996 7694 7.40075e-04 open neos-pseudoapplication-87 525030.8846192999* neos-4531126-vouga.mps.gz

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 169996 169898
Constraints 7694 7694
Binaries 169996 169898
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000740075 0.000740352
Nonzeroes 967980 967784
Constraint Classification Properties
Original Presolved
Total 7694 7694
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 203 203
Set Packing 0 0
Set Covering 0 0
Cardinality 7344 7344
Invariant Knapsack 49 49
Equation Knapsack 0 0
Bin Packing 49 49
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 49 49
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 1.698970
Constraint % 1.89758 1.98697 1.98856 2.04055
Variable % 1.86347 2.04082 2.04064 2.15953
Score 0.953736

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
3 525030.9 525030.9 0 0 0 Michael Winkler 2022-10-13 Found with Gurobi 9.5.1 with default parameters on an AMD EPYC 7313P (16 Cores) with 256GB of RAM.
2 525053.6 0 0 0 Robert Ashford and Alkis Vazacopoulus 2019-12-18 Found using ODH|CPlex
1 544045.1 544045.1 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-4531126-vouga 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
tbfp-network easy 72747 72747 0 0 2436 215837 Rob Pratt 24.16319444 benchmark binary benchmark_suitable set_partitioning cardinality
supportcase6 easy 130052 130051 1 0 771 584976 Michael Winkler 51906.47737 benchmark benchmark_suitable set_partitioning cardinality general_linear
s100 hard 364417 364417 0 0 14733 1777917 Daniel Espinoza Spinoza -0.1697235270583 benchmark binary benchmark_suitable aggregations set_partitioning set_packing cardinality invariant_knapsack knapsack
datt256 open 262144 262144 0 0 11077 1503732 Jon Dattorro no_solution binary set_partitioning cardinality
nu120-pr9 easy 7350 7308 42 0 2220 22176 MIPLIB submission pool nus-prxy 24945 decomposition numerics aggregations variable_bound cardinality general_linear

Reference

No bibliographic information available

Last Update Mar 04, 2024 by Julian Manns
generated with R Markdown
© 2023 by Zuse Institute Berlin (ZIB)
Imprint