railway_8_1_0

benchmark_suitable precedence invariant_knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 1796 2527 1.56396e-03 easy 400 railway_8_1_0.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 1796 1795
Constraints 2527 2526
Binaries 1177 1177
Integers 0 0
Continuous 619 618
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00156396 0.00156523
Nonzeroes 7098 7097
Constraint Classification Properties
Original Presolved
Total 2527 2526
Empty 0 0
Free 0 0
Singleton 1 0
Aggregations 0 0
Precedence 1026 1026
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 0 0
Set Covering 426 0
Cardinality 0 0
Invariant Knapsack 0 426
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 1074 1074
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 % 41.3698 41.5677 41.5677 41.7656
Variable % 46.8263 47.1047 47.1047 47.3831
Score 0.4397360

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
1 400 400 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to railway_8_1_0 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
CMS750_4 easy 11697 7196 0 4501 16381 44903 MIPLIB submission pool 252 benchmark benchmark_suitable precedence invariant_knapsack mixed_binary
usAbbrv-8-25_70 hard 2312 1681 0 631 3291 9628 publicly available 120 precedence invariant_knapsack 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
pigeon-20 easy 1580 1400 0 180 3661 33100 Sam Allen pigeon -19000 benchmark_suitable set_partitioning cardinality invariant_knapsack mixed_binary

Reference

No bibliographic information available

Last Update Apr 09, 2019 by Gregor Hendel
generated with R Markdown
© 2019 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
Imprint