sp98ar

benchmark binary 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 15085 1435 1.96863e-02 easy sp9 529740623.2 sp98ar.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 15085 15085
Constraints 1435 1430
Binaries 15085 15085
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0196863 0.0197549
Nonzeroes 426148 426143
Constraint Classification Properties
Original Presolved
Total 1435 1430
Empty 0 0
Free 0 0
Singleton 5 0
Aggregations 0 0
Precedence 0 0
Variable Bound 71 71
Set Partitioning 0 0
Set Packing 837 837
Set Covering 110 110
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 412 412
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 2.958564
Constraint % 0.0699301 0.0699301 0.0699301 0.0699301
Variable % 0.0132582 0.1100960 0.1325820 0.2055020
Score 0.634266

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
2 529740623 529740623 0 0 0e+00 - 2018-10-11 Solution imported from MIPLIB2010.
1 529740623 529740623 0 0 1e-07 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to sp98ar 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
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
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
sp97ic easy 12497 12497 0 0 1033 316629 J. Goessens, S. v. Hoessel, L. Kroon sp9 427684487.68 binary decomposition benchmark_suitable variable_bound set_packing set_covering mixed_binary
neos-1516309 easy 4500 4500 0 0 489 30400 NEOS Server Submission neos-pseudoapplication-26 35954 binary decomposition set_packing set_covering knapsack
n3div36 easy 22120 22120 0 0 4484 340740 R. Meirich nseq 130800 benchmark binary decomposition benchmark_suitable set_packing set_covering mixed_binary

Reference

No bibliographic information available

Last Update Aug 28, 2019 by Gregor Hendel
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