neos-1516309

binary decomposition set_packing set_covering knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
NEOS Server Submission 4500 489 1.3815e-02 easy neos-pseudoapplication-26 35954 neos-1516309.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 4500 4200
Constraints 489 483
Binaries 4500 4200
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.013815 0.014542
Nonzeroes 30400 29500
Constraint Classification Properties
Original Presolved
Total 489 483
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 390 384
Set Covering 93 93
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 6 6
Integer Knapsack 0 0
Mixed Binary 0 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 0.845098
Constraint % 14.6998 16.6667 17.0807 18.2195
Variable % 14.2857 16.6667 17.8571 17.8571
Score 0.832076

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 35954 35954 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-1516309 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-1599274 easy 4500 4500 0 0 1237 46800 NEOS Server Submission neos-pseudoapplication-26 32075.6 binary decomposition set_packing set_covering knapsack
n2seq36f easy 8100 8100 0 0 285 60948 R. Meirich nseq 52200 binary decomposition benchmark_suitable set_packing set_covering mixed_binary
n3div36 easy 22120 22120 0 0 4484 340740 R. Meirich nseq 130800 benchmark binary decomposition benchmark_suitable set_packing set_covering mixed_binary
sp97ar easy 14101 14101 0 0 1761 290968 J. Goessens, S. v. Hoessel, L. Kroon sp9 660705645.759 benchmark binary benchmark_suitable variable_bound set_packing set_covering mixed_binary
sp97ic easy 12497 12497 0 0 1033 316629 J. Goessens, S. v. Hoessel, L. Kroon sp9 427684487.68 binary decomposition benchmark_suitable variable_bound set_packing set_covering mixed_binary

Reference

No bibliographic information available

Last Update Aug 28, 2019 by Gregor Hendel
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