neos-935769

decomposition benchmark_suitable precedence variable_bound set_packing invariant_knapsack integer_knapsack mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
NEOS Server Submission 9799 6741 5.51767e-04 easy neos-pseudoapplication-34 3010 neos-935769.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 9799 7777
Constraints 6741 6741
Binaries 7020 7020
Integers 0 139
Continuous 2779 618
Implicit Integers 0 139
Fixed Variables 0 0
Nonzero Density 0.000551767 0.000695225
Nonzeroes 36447 36447
Constraint Classification Properties
Original Presolved
Total 6741 6880
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 3676 3676
Variable Bound 8 8
Set Partitioning 0 0
Set Packing 2249 2249
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 51 51
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 139
Mixed Binary 757 618
General Linear 0 139
Indicator 0 0

Structure

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

value min median mean max
Components 2.324282
Constraint % 0.0296692 0.391986 0.118677 13.9000
Variable % 0.0385753 0.465475 0.167160 15.8802
Score 0.763145

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
2 3010 3010 0 0 0 - 2018-10-12 Solution imported from MIPLIB2010.
1 3010 3010 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-935769 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
neos-983171 easy 8965 6557 0 2408 6711 36691 NEOS Server Submission neos-pseudoapplication-34 2360 benchmark_suitable precedence variable_bound set_packing invariant_knapsack integer_knapsack mixed_binary general_linear
neos-935234 easy 10309 7530 0 2779 9568 55271 NEOS Server Submission neos-pseudoapplication-34 2431.999999999996 benchmark_suitable precedence set_packing invariant_knapsack integer_knapsack mixed_binary general_linear
comp07-2idx easy 17264 17155 109 0 21235 86577 Matias Sørensen coursetimetabling 6 benchmark decomposition benchmark_suitable precedence variable_bound set_packing cardinality invariant_knapsack mixed_binary general_linear
comp21-2idx hard 10863 10792 71 0 14038 57301 Matias Sørensen coursetimetabling 74 benchmark decomposition benchmark_suitable precedence variable_bound set_partitioning cardinality invariant_knapsack mixed_binary general_linear
comp08-2idx easy 11554 11487 67 0 12536 51608 Matias Sørensen coursetimetabling 37 decomposition benchmark_suitable precedence variable_bound set_packing cardinality invariant_knapsack mixed_binary general_linear

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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