neos-960392

benchmark binary benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
NEOS Server Submission 59376 4744 6.7276e-04 easy neos-pseudoapplication-94 -238 neos-960392.mps.gz

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 59376 59285
Constraints 4744 4744
Binaries 59376 59285
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00067276 0.00067347
Nonzeroes 189503 189412
Constraint Classification Properties
Original Presolved
Total 4744 4744
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 171 172
Variable Bound 279 279
Set Partitioning 0 1575
Set Packing 1958 1957
Set Covering 0 0
Cardinality 1575 0
Invariant Knapsack 384 384
Equation Knapsack 0 0
Bin Packing 256 256
Knapsack 0 121
Integer Knapsack 0 0
Mixed Binary 121 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 0.4771212
Constraint % 13.32210 33.4001 33.4001 53.4781
Variable % 2.88269 50.0000 50.0000 97.1173
Score 0.5232050

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 -238 -238 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-960392 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
academictimetablesmall easy 28926 28926 0 0 23294 268350 Joshua Friedman 0 benchmark binary decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack equation_knapsack binpacking knapsack
mzzv42z easy 11717 11482 235 0 10460 151261 MIPLIB submission pool -20540 benchmark benchmark_suitable precedence variable_bound set_partitioning set_packing cardinality general_linear
academictimetablebig hard 168974 168974 0 0 167661 1545375 Joshua Friedman 427 binary aggregations precedence variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack equation_knapsack binpacking knapsack
neos-555884 easy 3815 3800 15 0 4331 19067 NEOS Server Submission neos-pseudoapplication-32 1232700 decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality equation_knapsack binpacking mixed_binary general_linear
chromaticindex512-7 easy 36864 36864 0 0 33791 135156 Pierre Le Bodic chromaticindex 4 benchmark binary benchmark_suitable set_partitioning set_packing

Reference

No bibliographic information available

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