bley_xs2

numerics aggregations variable_bound set_partitioning set_packing set_covering invariant_knapsack knapsack mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
A. Bley 2515 2257 3.67507e-03 easy bley_x 1051266.38 bley_xs2.mps.gz

Min-cost network dimensioning problem with finite sets of link capacities and unsplittable flow routing

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 2515 2373
Constraints 2257 1833
Binaries 1632 1580
Integers 883 793
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00367507 0.00415752
Nonzeroes 20861 18084
Constraint Classification Properties
Original Presolved
Total 2257 1833
Empty 19 0
Free 0 0
Singleton 54 0
Aggregations 53 52
Precedence 0 0
Variable Bound 30 5
Set Partitioning 45 45
Set Packing 0 191
Set Covering 89 99
Cardinality 0 0
Invariant Knapsack 0 32
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 318 184
Integer Knapsack 0 0
Mixed Binary 403 56
General Linear 1246 1169
Indicator 0 0

Structure

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

value min median mean max
Components 2.348305
Constraint % 0.0545554 0.104687 0.0545554 7.80142
Variable % 0.0824742 0.294418 0.2474230 6.80412
Score 0.226580

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 1051266 1051266 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to bley_xs2 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
bley_xs1 open 3243 2360 883 0 3290 25762 A. Bley bley_x 3974033.21* numerics aggregations variable_bound set_partitioning set_packing set_covering invariant_knapsack knapsack mixed_binary general_linear
bley_xs1noM open 3243 2360 883 0 3290 25762 A. Bley bley_x 3894895.53* numerics aggregations variable_bound set_partitioning set_packing set_covering invariant_knapsack knapsack mixed_binary general_linear
sp98ir easy 1680 992 688 0 1531 71704 J. Goessens, S. v. Hoessel, L. Kroon sp9 219676790.4 decomposition benchmark_suitable precedence variable_bound set_covering binpacking knapsack mixed_binary general_linear
milo-v13-4-3d-4-0 open 688 160 0 528 1328 3292 Tamas Terlaky milo 363892.969282453* aggregations variable_bound mixed_binary general_linear
milo-v13-4-3d-3-0 open 516 120 0 396 996 2456 Tamas Terlaky milo 273238.08563337* aggregations variable_bound mixed_binary general_linear

Reference

No bibliographic information available

Last Update Aug 28, 2019 by Gregor Hendel
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