usAbbrv-8-25_70

precedence invariant_knapsack knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
publicly available 2312 3291 1.26538e-03 hard 120 usAbbrv-8-25_70.mps.gz

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 2312 2311
Constraints 3291 3290
Binaries 1681 1681
Integers 0 0
Continuous 631 630
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00126538 0.00126618
Nonzeroes 9628 9627
Constraint Classification Properties
Original Presolved
Total 3291 3290
Empty 0 0
Free 0 0
Singleton 1 0
Aggregations 0 0
Precedence 1046 1046
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 0 0
Set Covering 563 0
Cardinality 0 0
Invariant Knapsack 0 563
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 105
Integer Knapsack 0 0
Mixed Binary 1681 1576
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 0.4771212
Constraint % 39.6657 39.8480 39.8480 40.0304
Variable % 47.4481 47.7076 47.7076 47.9671
Score 0.4167400

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
1 121 121 0 1e-07 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to usAbbrv-8-25_70 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
berlin_5_8_0 easy 1083 794 0 289 1532 4507 G. Klau 62 precedence invariant_knapsack mixed_binary
railway_8_1_0 easy 1796 1177 0 619 2527 7098 MIPLIB submission pool 400 benchmark_suitable precedence invariant_knapsack mixed_binary
CMS750_4 easy 11697 7196 0 4501 16381 44903 MIPLIB submission pool 252 benchmark benchmark_suitable precedence invariant_knapsack mixed_binary
pigeon-20 easy 1580 1400 0 180 3661 33100 Sam Allen pigeon -19000 benchmark_suitable set_partitioning cardinality invariant_knapsack mixed_binary
pigeon-16 easy 1072 928 0 144 2353 21104 Sam Allen pigeon -15000 benchmark_suitable set_partitioning cardinality invariant_knapsack mixed_binary

Reference

No bibliographic information available

Last Update Mar 04, 2024 by Julian Manns
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