Submitter Variables Constraints Density Status Group Objective MPS File
Michael Bastubbe 2848 3608 9.62281e-04 easy cvs -81 cvs16r106-72.mps.gz

Capacitated vertex separator problem on randomly generated hypergraph with 106 vertices and 72 hyperedges in at most 16 components each including at most 7 vertices.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 2848 2848
Constraints 3608 3608
Binaries 2848 2848
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000962281 0.000962281
Nonzeroes 9888 9888
Constraint Classification Properties
Original Presolved
Total 3608 3608
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 3520 3520
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 72 72
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 16 16
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
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 1.230449
Constraint % 6.12528 6.12528 6.12528 6.12528
Variable % 6.25000 6.25000 6.25000 6.25000
Score 0.918792

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 -81 -81 0 0 0 - 2018-10-10 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to cvs16r106-72 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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
cvs16r89-60 2384 2384 0 0 3068 8368 Michael Bastubbe cvs easy -65.00000
cvs16r128-89 3472 3472 0 0 4633 12528 Michael Bastubbe cvs hard -97.00000
cvs16r70-62 2112 2112 0 0 3278 8512 Michael Bastubbe cvs easy -42.00000
cvs08r139-94 1864 1864 0 0 2398 6456 Michael Bastubbe cvs easy -116.00000
neos-953928 23305 23305 0 0 12498 169861 NEOS Server Submission neos-pseudoapplication-13 easy -99.90444

Reference

No bibliographic information available

Last Update Nov 09, 2018 by Gregor Hendel
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