cap6000

binary decomposition aggregations precedence variable_bound set_partitioning set_packing knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 6000 2176 3.69508e-03 easy -2451377 cap6000.mps.gz

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 6000 5995
Constraints 2176 2171
Binaries 6000 5995
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00369508 0.00140052
Nonzeroes 48243 18228
Constraint Classification Properties
Original Presolved
Total 2176 2171
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 76 76
Precedence 141 141
Variable Bound 81 86
Set Partitioning 47 47
Set Packing 1824 1819
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 2 2
Integer Knapsack 0 0
Mixed Binary 5 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 3.303628
Constraint % 0.0460617 0.0496807 0.0460617 0.2303090
Variable % 0.0333611 0.0496933 0.0500417 0.0834028
Score 0.998568

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 -2451377 -2451377 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to cap6000 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
gmu-35-40 easy 1205 1200 0 5 424 4843 Nora Konnyu gmu -2406733.3688 benchmark benchmark_suitable variable_bound set_packing mixed_binary
gmu-35-50 easy 1919 1914 0 5 435 8643 Nora Konnyu gmu -2607958.33 benchmark benchmark_suitable variable_bound set_packing mixed_binary
gmut-76-40 open 24338 24332 0 6 2586 153017 Nora Konnyu gmu -14169441.78* variable_bound set_packing mixed_binary
bab1 open 61152 61152 0 0 60680 854392 Elmar Swarat, Laura Traverso, Julia Buwaya bab -218764.88525* binary decomposition aggregations set_packing set_covering cardinality invariant_knapsack knapsack mixed_binary
n3div36 easy 22120 22120 0 0 4484 340740 R. Meirich nseq 130800 benchmark binary decomposition benchmark_suitable set_packing set_covering mixed_binary

Reference

No bibliographic information available

Last Update Mär 19, 2019 by Gregor Hendel
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