ns1456591

set_partitioning cardinality mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
NEOS Server Submission 8399 1997 1.19158e-02 open neos-pseudoapplication-52 988.1405440676191* ns1456591.mps.gz

Instance coming from the NEOS Server with unknown application Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 8399 7999
Constraints 1997 1578
Binaries 8000 7600
Integers 19 19
Continuous 380 380
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0119158 0.0156818
Nonzeroes 199862 197942
Constraint Classification Properties
Original Presolved
Total 1997 1578
Empty 0 0
Free 0 0
Singleton 400 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 38 38
Set Packing 0 0
Set Covering 0 0
Cardinality 400 400
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 19 0
Integer Knapsack 0 0
Mixed Binary 760 760
General Linear 380 380
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 1.322219
Constraint % 3.67554 3.67554 3.67554 3.67554
Variable % 4.98812 4.98812 4.98812 4.98812
Score 0.698440

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
3 988.1405 988.1413 8e-07 8e-07 0 Michael Winkler 2022-11-27 Found with Gurobi 9.5.1 with default parameters (except for MIPGAP=0) on an AMD EPYC 7313P (16 Cores) with 256GB RAM.
2 988.1413 0e+00 0e+00 0 Robert Ashford and Alkis Vazacopoulus 2019-12-18 Found using ODH|CPlex
1 1118.0385 1118.0385 0e+00 0e+00 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ns1456591 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
swath hard 6805 6724 0 81 884 34965 D. Panton swath 467.407491 set_partitioning cardinality mixed_binary
swath3 easy 6805 2706 0 4099 884 34965 D. Panton swath 397.76134365 benchmark benchmark_suitable mixed_binary
swath2 easy 6805 2406 0 4399 884 34965 D. Panton swath 385.1996929499999 benchmark_suitable mixed_binary
swath1 easy 6805 2306 0 4499 884 34965 D. Panton swath 379.07129575 benchmark benchmark_suitable mixed_binary
neos-1456979 easy 4605 4245 180 180 6770 36440 NEOS Server Submission neos-pseudoapplication-102 176 benchmark decomposition benchmark_suitable variable_bound set_partitioning set_packing cardinality knapsack mixed_binary general_linear

Reference

@misc{neos,
 key = {zzz neos},
 note = {http://www.neos-server.org},
 title = {{NEOS} {S}erver for {O}ptimization},
 year = {2011}
}

Last Update Mar 04, 2024 by Julian Manns
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