n5-3

benchmark decomposition benchmark_suitable aggregations mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
A. Atamtürk 2550 1062 3.6557e-03 easy nxy-z 8104.999999993999 n5-3.mps.gz

Capacitated network design problem Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 2550 2550
Constraints 1062 1062
Binaries 0 0
Integers 150 150
Continuous 2400 2400
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0036557 0.0036557
Nonzeroes 9900 9900
Constraint Classification Properties
Original Presolved
Total 1062 1062
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 144 144
Precedence 0 0
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 818 818
General Linear 100 100
Indicator 0 0

Structure

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

value min median mean max
Components 1.690196
Constraint % 1.78908 1.88716 1.78908 6.49718
Variable % 1.96078 2.08333 1.96078 7.84314
Score 0.884255

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 8105 8105 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to n5-3 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
n9-3 easy 7644 0 252 7392 2364 30072 A. Atamtürk nxy-z 14409 decomposition benchmark_suitable aggregations mixed_binary general_linear
n6-3 easy 7178 0 222 6956 2760 28268 A. Atamtürk nxy-z 15174.999303 decomposition benchmark_suitable aggregations mixed_binary general_linear
n13-3 easy 3472 0 186 3286 1723 13516 A. Atamtürk nxy-z 13385 decomposition benchmark_suitable aggregations mixed_binary general_linear
n7-3 easy 5626 0 174 5452 2336 22156 A. Atamtürk nxy-z 15425.99999997 decomposition benchmark_suitable aggregations mixed_binary general_linear
ta1-UUM easy 2288 0 605 1683 439 5654 MIPLIB submission pool network_design 7518328.199999998 decomposition numerics aggregations mixed_binary general_linear

Reference

No bibliographic information available

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