ns1856153

precedence variable_bound set_covering invariant_knapsack binpacking mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
NEOS Server Submission 11998 35407 2.49244e-04 open neos-pseudoapplication-6 63.73295615276* ns1856153.mps.gz

Sensor placement problem

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 11998 11690
Constraints 35407 31780
Binaries 11956 11648
Integers 0 0
Continuous 42 42
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000249244 0.000255009
Nonzeroes 105882 94738
Constraint Classification Properties
Original Presolved
Total 35407 31780
Empty 0 0
Free 0 0
Singleton 126 0
Aggregations 0 0
Precedence 11116 10584
Variable Bound 28 28
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 182
Cardinality 1 0
Invariant Knapsack 784 10010
Equation Knapsack 0 0
Bin Packing 0 9464
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 23352 1512
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 0.698970
Constraint % 14.8899 16.0793 14.8899 19.6476
Variable % 21.2369 21.3244 21.2369 21.5869
Score 0.505894

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 63.73296 63.73296 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ns1856153 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-555424 easy 3815 3800 15 0 2676 15667 NEOS Server Submission neos-pseudoapplication-15 1286800 decomposition benchmark_suitable precedence invariant_knapsack equation_knapsack binpacking mixed_binary general_linear
ns1904248 open 38458 38416 0 42 149437 377258 NEOS Server Submission neos-pseudoapplication-6 79.3919486409* precedence variable_bound set_covering invariant_knapsack mixed_binary
neos-555343 easy 3815 3800 15 0 3326 16967 NEOS Server Submission neos-pseudoapplication-15 1512800 decomposition benchmark_suitable aggregations precedence invariant_knapsack equation_knapsack binpacking mixed_binary general_linear
decomp1 easy 10735 10735 0 0 8357 47889 Martin Berger -120 binary decomposition precedence set_partitioning set_packing invariant_knapsack binpacking mixed_binary
decomp2 easy 14387 14387 0 0 10765 64073 Martin Berger -160 benchmark binary decomposition benchmark_suitable precedence set_partitioning set_packing invariant_knapsack binpacking mixed_binary

Reference

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

Last Update Jun 24, 2019 by Gregor Hendel
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