sing17

aggregations variable_bound set_partitioning cardinality mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Daniel Espinoza 452787 266802 9.98167e-06 open sing 36161699.37883251* sing17.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 452787 452787
Constraints 266802 266802
Binaries 432541 432541
Integers 0 0
Continuous 20246 20246
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 9.98167e-06 9.98167e-06
Nonzeroes 1205830 1205830
Constraint Classification Properties
Original Presolved
Total 266802 266802
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 11210 11210
Precedence 0 0
Variable Bound 39820 39820
Set Partitioning 20624 201457
Set Packing 0 0
Set Covering 0 0
Cardinality 194476 13643
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 672 672
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
Constraint %
Variable %
Score

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion
ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
3 36161699 0 0 1.0e-07 Michael Winkler 2024-01-16 Found with Gurobi 11.0.0 on AMD EPYC 7313P 16-Core Processor with 264075352 kB memory.
2 36177047 0 0 1.0e-07 Robert Ashford and Alkis Vazacopoulus 2019-12-18 Found using ODH|CPlex
1 36642314 36642314 0 0 2.4e-06 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to sing17 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
sing5 open 154463 146210 0 8253 92183 408715 Daniel Espinoza sing 18778435.60767737* decomposition aggregations variable_bound set_partitioning cardinality mixed_binary
sing11 open 175352 165337 0 10015 105858 479075 Daniel Espinoza sing 19108639.4603942* decomposition aggregations variable_bound set_partitioning cardinality mixed_binary
satellites2-60-fs easy 35378 34324 0 1054 16516 125048 He Renjie satellites -19.0000000001 benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing cardinality knapsack mixed_binary
satellites4-25 easy 95637 93747 0 1890 51712 821192 He Renjie satellites -25 benchmark_suitable aggregations precedence set_partitioning set_packing cardinality invariant_knapsack knapsack mixed_binary
neos-780889 easy 182700 182700 0 0 73910 497210 NEOS Server Submission neos-pseudoapplication-94 3421500 binary benchmark_suitable aggregations set_partitioning cardinality mixed_binary

Reference

No bibliographic information available

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