blp-ic98

benchmark decomposition benchmark_suitable set_packing mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
M. Lübbecke 13640 717 1.96267e-02 easy blp 4491.44758395 blp-ic98.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 13640 13640
Constraints 717 717
Binaries 13550 13550
Integers 0 89
Continuous 90 1
Implicit Integers 0 89
Fixed Variables 0 0
Nonzero Density 0.0196267 0.0196267
Nonzeroes 191947 191947
Constraint Classification Properties
Original Presolved
Total 717 717
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 627 627
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 90 1
General Linear 0 89
Indicator 0 0

Structure

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

value min median mean max
Components 2.797960
Constraint % 0.139470 0.139470 0.13947 0.139470
Variable % 0.058651 0.158437 0.16129 0.190616
Score 0.873091

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 4491.448 4491.448 0 0 0 - 2018-10-11 Solution imported from MIPLIB2010.
1 4491.448 4491.448 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to blp-ic98 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
blp-ir98 easy 6097 6031 0 66 486 79152 M. Lübbecke blp 2342.315488 decomposition benchmark_suitable set_packing equation_knapsack mixed_binary general_linear
blp-ar98 easy 16021 15806 0 215 1128 200601 M. Lübbecke blp 6205.2147104 benchmark decomposition benchmark_suitable variable_bound set_packing equation_knapsack mixed_binary general_linear
blp-ic97 easy 9845 9753 0 92 923 118149 M. Lübbecke blp 4025.023580799999 decomposition benchmark_suitable set_packing mixed_binary general_linear
neos-3116779-oban easy 5141 5140 0 1 328 20561 Jeff Linderoth neos-pseudoapplication-26 0 decomposition set_packing knapsack general_linear
leo1 easy 6731 6730 0 1 593 131218 COR@L test set 404227536.16 benchmark benchmark_suitable variable_bound set_packing set_covering mixed_binary

Reference

No bibliographic information available

Last Update Mar 04, 2024 by Julian Manns
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