rococoC12-010001

decomposition precedence set_partitioning cardinality knapsack general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
A. Chabrier, E. Danna, C. Le Pape, L. Perron 16741 4636 7.70919e-04 hard rococo 34045.0 rococoC12-010001.mps.gz

Model for dimensioning the arc capacities in a telecommunication network. Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 16741 14075
Constraints 4636 1969
Binaries 16554 13888
Integers 187 187
Continuous 0 0
Implicit Integers 0 14
Fixed Variables 0 0
Nonzero Density 0.000770919 0.001968740
Nonzeroes 59832 54561
Constraint Classification Properties
Original Presolved
Total 4636 1969
Empty 0 0
Free 0 0
Singleton 2667 0
Aggregations 0 0
Precedence 62 62
Variable Bound 0 0
Set Partitioning 264 264
Set Packing 0 0
Set Covering 0 0
Cardinality 1320 1320
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 12 12
Integer Knapsack 0 0
Mixed Binary 0 0
General Linear 311 311
Indicator 0 0

Structure

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

value min median mean max
Components 2.290035
Constraint % 0.0507872 0.430906 0.609446 0.609446
Variable % 0.0141473 0.506385 0.728585 0.756879
Score 0.830019

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 34045 34045 0 0 0 Hans Mittelmann 2021-12-15 Solved with Gurobi 9.5.0rc5 using 96 threads in 24 hours.

Similar instances in collection

The following instances are most similar to rococoC12-010001 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
rococoC11-010100 hard 12321 12155 166 0 4010 46955 A. Chabrier, E. Danna, C. Le Pape, L. Perron rococo 20889 decomposition aggregations precedence set_partitioning cardinality invariant_knapsack general_linear
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
rococoC11-011100 easy 6491 6325 166 0 2367 30472 A. Chabrier, E. Danna, C. Le Pape, L. Perron rococo 20889 decomposition benchmark_suitable aggregations precedence set_partitioning cardinality invariant_knapsack general_linear
rococoC10-001000 easy 3117 2993 124 0 1293 11751 A. Chabrier, E. Danna, C. Le Pape, L. Perron rococo 11460 benchmark 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

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