sp97ic

binary decomposition benchmark_suitable variable_bound set_packing set_covering mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
J. Goessens, S. v. Hoessel, L. Kroon 12497 1033 2.4527e-02 easy sp9 427684487.6799999 sp97ic.mps.gz

Railway line planning instance Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 12497 12497
Constraints 1033 1033
Binaries 12497 12497
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.024527 0.024527
Nonzeroes 316629 316629
Constraint Classification Properties
Original Presolved
Total 1033 1033
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 17 17
Set Partitioning 0 0
Set Packing 814 814
Set Covering 24 24
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 178 178
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 2.920123
Constraint % 0.0968054 0.0968054 0.0968054 0.0968054
Variable % 0.0160038 0.1203370 0.1120270 0.2000480
Score 0.803485

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 427684488 427684488 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to sp97ic 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
sp98ic easy 10894 10894 0 0 825 316317 J. Goessens, S. v. Hoessel, L. Kroon sp9 449144758.4 binary decomposition benchmark_suitable variable_bound set_packing set_covering mixed_binary
sp97ar easy 14101 14101 0 0 1761 290968 J. Goessens, S. v. Hoessel, L. Kroon sp9 660705645.759 benchmark binary benchmark_suitable variable_bound set_packing set_covering mixed_binary
sp98ar easy 15085 15085 0 0 1435 426148 J. Goessens, S. v. Hoessel, L. Kroon sp9 529740623.2 benchmark binary benchmark_suitable variable_bound set_packing set_covering mixed_binary
n3div36 easy 22120 22120 0 0 4484 340740 R. Meirich nseq 130800 benchmark binary decomposition benchmark_suitable set_packing set_covering mixed_binary
neos-1599274 easy 4500 4500 0 0 1237 46800 NEOS Server Submission neos-pseudoapplication-26 32075.6 binary decomposition set_packing set_covering knapsack

Reference

No bibliographic information available

Last Update 2024 by Julian Manns
generated with R Markdown
© by Zuse Institute Berlin (ZIB)
Imprint