h80x6320

binary decomposition set_partitioning

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 12640 79 6.32911e-03 easy fixed-cost-network-flow 3700 h80x6320.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 12640 5920
Constraints 79 74
Binaries 6320 5920
Integers 0 0
Continuous 6320 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00632911 0.01351350
Nonzeroes 6320 5920
Constraint Classification Properties
Original Presolved
Total 79 74
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 74 74
Set Packing 5 0
Set Covering 0 0
Cardinality 0 0
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 1.875061
Constraint % 1.35135 1.35135 1.35135 1.35135
Variable % 1.35135 1.35135 1.35135 1.35135
Score 0.986486

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 3700 3700 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to h80x6320 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
t1722 open 36630 36630 0 0 338 133096 R. Borndörfer 108953.0* binary set_partitioning
10teams easy 2025 1800 0 225 230 12150 MIPLIB submission pool 923.9999999999997 binary set_partitioning set_packing invariant_knapsack
t1717 open 73885 73885 0 0 551 325689 R. Borndörfer 158260* binary set_partitioning
air05 easy 7195 7195 0 0 426 52121 G. Astfalk air 26374 benchmark binary benchmark_suitable set_partitioning
air04 easy 8904 8904 0 0 823 72965 G. Astfalk air 56137 binary benchmark_suitable aggregations set_partitioning

Reference

No bibliographic information available

Last Update Mar 04, 2024 by Julian Manns
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