Submitter Variables Constraints Density Status Group Objective MPS File
Michael Bastubbe 3472 4633 7.78825e-04 hard cvs -97 cvs16r128-89.mps.gz

Capacitated vertex separator problem on randomly generated hypergraph with 128 vertices and 89 hyperedges in at most 16 components each including at most 8 vertices.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 3472 3472
Constraints 4633 4633
Binaries 3472 3472
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000778825 0.000778825
Nonzeroes 12528 12528
Constraint Classification Properties
Original Presolved
Total 4633 4633
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 4528 4528
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 89 89
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 % 6.12994 6.12994 6.12994 6.12994
Variable % 6.25000 6.25000 6.25000 6.25000
Score 0.919491

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 -97 -97 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to cvs16r128-89 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
cvs16r106-72 2848 2848 0 0 3608 9888 Michael Bastubbe cvs easy -81.00000
cvs16r89-60 2384 2384 0 0 3068 8368 Michael Bastubbe cvs easy -65.00000
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 19, 2018 by Gregor Hendel
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