netdiversion

benchmark binary benchmark_suitable precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
Chris Cullenbine 129180 119589 3.98279e-05 easy 242 netdiversion.mps.gz

Directed network diversion problem

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 129180 129174
Constraints 119589 119589
Binaries 129180 129174
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 3.98279e-05 3.98290e-05
Nonzeroes 615282 615270
Constraint Classification Properties
Original Presolved
Total 119589 119589
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 103 103
Variable Bound 303 303
Set Partitioning 1 2
Set Packing 59597 59597
Set Covering 39586 0
Cardinality 19999 19998
Invariant Knapsack 0 39586
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 4.278685
Constraint % 0.000836 0.00183 0.00167 2.88825
Variable % 0.004640 0.00487 0.00464 4.27640
Score 0.345641

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
2 242 242 0 0 0 - 2018-10-29 Solution imported from MIPLIB2010.
1 242 242 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to netdiversion 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
academictimetablesmall easy 28926 28926 0 0 23294 268350 Joshua Friedman 0 benchmark binary decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack equation_knapsack binpacking knapsack
nursesched-medium-hint03 hard 34248 34170 78 0 14062 622800 Haroldo Gambini Santos nursescheduling 115 benchmark decomposition benchmark_suitable set_partitioning set_packing cardinality invariant_knapsack general_linear
chromaticindex1024-7 easy 73728 73728 0 0 67583 270324 Pierre Le Bodic chromaticindex 4 benchmark binary benchmark_suitable set_partitioning set_packing
neos-933638 easy 32417 28637 0 3780 13658 187173 NEOS Server Submission neos-pseudoapplication-34 276 benchmark_suitable precedence variable_bound set_packing invariant_knapsack mixed_binary
academictimetablebig hard 168974 168974 0 0 167661 1545380 Joshua Friedman 427 binary aggregations precedence variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack equation_knapsack binpacking knapsack

Reference

@article{Curet2001,
 author = {N. D. Curet},
 journal = {Military Operations Research},
 language = {English},
 number = {2},
 pages = {35-44},
 title = {The network diversion problem},
 volume = {6},
 year = {2001}
}

Last Update Aug 28, 2019 by Gregor Hendel
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