qnet1

aggregations precedence variable_bound set_partitioning set_covering cardinality general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 1541 503 5.96292e-03 easy 16029.69268099998 qnet1.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 1541 1541
Constraints 503 502
Binaries 1288 1288
Integers 129 129
Continuous 124 124
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00596292 0.00593990
Nonzeroes 4622 4595
Constraint Classification Properties
Original Presolved
Total 503 502
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 87 87
Precedence 36 36
Variable Bound 45 45
Set Partitioning 48 48
Set Packing 0 0
Set Covering 4 4
Cardinality 160 160
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 123 122
Indicator 0 0

Structure

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

value min median mean max
Components 1.623249
Constraint % 0.199203 1.84627 1.59363 5.37849
Variable % 0.129786 2.26809 2.79040 4.73718
Score 0.726784

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 16029.69 16029.69 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to qnet1 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
qnet1_o easy 1541 1288 129 124 456 4214 MIPLIB submission pool 16029.692681 decomposition aggregations precedence variable_bound set_partitioning cardinality 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
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

Reference

No bibliographic information available

Last Update Mar 04, 2024 by Julian Manns
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