supportcase16

binary aggregations variable_bound set_partitioning set_packing cardinality

Submitter Variables Constraints Density Status Group Objective MPS File
Michael Winkler 319 130 2.59465e-02 easy 288 supportcase16.mps.gz

MIP instances collected from Gurobi forum with unknown application

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 319 276
Constraints 130 106
Binaries 319 276
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0259465 0.0328821
Nonzeroes 1076 962
Constraint Classification Properties
Original Presolved
Total 130 106
Empty 0 0
Free 0 0
Singleton 6 0
Aggregations 16 11
Precedence 0 0
Variable Bound 1 2
Set Partitioning 36 33
Set Packing 17 16
Set Covering 0 0
Cardinality 54 44
Invariant Knapsack 0 0
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 1.278754
Constraint % 0.952381 1.53439 0.952381 8.57143
Variable % 1.075270 2.90721 1.971330 8.96057
Score 0.268237

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
1 288 288 0 0 0 - 2018-10-15 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to supportcase16 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
supportcase14 easy 304 304 0 0 234 1129 Michael Winkler 288 binary aggregations variable_bound set_partitioning set_packing cardinality
lr1dr02vc05v8a-t360 open 20810 12174 6471 2165 7560 58950 Dimitri Papageorgiou maritime 195940.312927* aggregations variable_bound set_partitioning set_packing cardinality mixed_binary general_linear
b-ball easy 100 88 0 12 30 209 Christopher Cullenbine -1.50000000000001 benchmark_suitable precedence cardinality mixed_binary
rococoB10-011000 easy 4456 4320 136 0 1667 16517 A. Chabrier, E. Danna, C. Le Pape, L. Perron rococo 19449 benchmark decomposition benchmark_suitable precedence set_partitioning cardinality general_linear
neos-826650 easy 5912 5792 0 120 2414 20440 NEOS Server Submission neos-pseudoapplication-87 29 decomposition benchmark_suitable aggregations set_partitioning set_packing cardinality binpacking mixed_binary general_linear

Reference

No bibliographic information available

Last Update Mär 19, 2019 by Gregor Hendel
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