ns2124243

decomposition aggregations variable_bound set_partitioning cardinality mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Timo Berthold 156083 139280 1.97354e-05 open neos-pseudoapplication-93 77460* ns2124243.mps.gz

Instance coming from the NEOS Server with unknown application Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 156083 74123
Constraints 139280 57495
Binaries 16447 16447
Integers 0 1820
Continuous 139636 55856
Implicit Integers 0 1820
Fixed Variables 0 0
Nonzero Density 1.97354e-05 5.69648e-05
Nonzeroes 429032 242767
Constraint Classification Properties
Original Presolved
Total 139280 57495
Empty 0 0
Free 0 0
Singleton 40371 0
Aggregations 25048 25048
Precedence 0 0
Variable Bound 28 16
Set Partitioning 2 2
Set Packing 0 0
Set Covering 0 0
Cardinality 62 62
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 73769 27271
General Linear 0 5096
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 0.903090
Constraint % 13.9369 14.2658 14.5126 14.5126
Variable % 13.9390 14.2844 14.5434 14.5434
Score 0.855904

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 77460 77460 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ns2124243 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
ns2122698 open 155103 16447 0 138656 139280 424272 Timo Berthold neos-pseudoapplication-93 68749.99988531263* decomposition aggregations set_partitioning set_packing cardinality mixed_binary general_linear
uccase10 open 110818 16800 0 94018 196498 787045 Daniel Espinoza uccase 39134.295915* aggregations precedence variable_bound mixed_binary
neos-3660371-kurow easy 4722 144 0 4578 4758 12912 Jeff Linderoth neos-pseudoapplication-9 2270.85 benchmark_suitable aggregations precedence variable_bound set_partitioning invariant_knapsack mixed_binary general_linear
uccase7 hard 33020 7224 0 25796 47132 335644 Daniel Espinoza uccase 26834.28427331005 aggregations precedence variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary
uccase9 easy 33242 8064 0 25178 49565 332316 Daniel Espinoza uccase 10993.131409 benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary

Reference

@misc{neos,
 key = {zzz neos},
 note = {http://www.neos-server.org},
 title = {{NEOS} {S}erver for {O}ptimization},
 year = {2011}
}

Last Update Mar 04, 2024 by Julian Manns
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