roi2alpha3n4

benchmark benchmark_suitable variable_bound cardinality binpacking mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Domenico Salvagnin 6816 1251 1.03064e-01 easy -63.20849503 roi2alpha3n4.mps.gz

Neurobiology application: optimal placing of sensors on the scalp to maximize signal on a given ROI, also taking uniformity of coverage into account.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 6816 5572
Constraints 1251 1251
Binaries 6642 5398
Integers 0 0
Continuous 174 174
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.103064 0.125718
Nonzeroes 878812 876324
Constraint Classification Properties
Original Presolved
Total 1251 1251
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 913 913
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 0
Cardinality 2 2
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 162 162
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 174 174
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 % 0.0799361 21.7226 8.43325 69.9440
Variable % 0.0358938 25.0000 1.43575 97.0926
Score 0.714977

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 -63.20849 -63.20849 0 9e-07 0 - 2018-10-10 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to roi2alpha3n4 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
roi5alpha10n8 hard 106150 105950 0 200 4665 2370220 Domenico Salvagnin -52.322274351 benchmark decomposition benchmark_suitable variable_bound cardinality binpacking mixed_binary
prod2 easy 301 200 0 101 211 10501 MIPLIB submission pool -62 benchmark_suitable variable_bound set_partitioning mixed_binary
prod1 easy 250 149 0 101 208 5350 MIPLIB submission pool -56 benchmark_suitable variable_bound set_partitioning set_covering mixed_binary
neos-1171448 easy 4914 2457 0 2457 13206 131859 NEOS Server Submission neos-pseudoapplication-8 -309 benchmark benchmark_suitable variable_bound invariant_knapsack mixed_binary
mad easy 220 200 0 20 51 2808 Koichi Fujii 0.0268 benchmark benchmark_suitable set_partitioning set_packing invariant_knapsack mixed_binary

Reference

No bibliographic information available

Last Update Mär 19, 2019 by Gregor Hendel
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