mcsched

benchmark decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing invariant_knapsack general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Q. Chen 1747 2107 2.19727e-03 easy 211913 mcsched.mps.gz

Unknown application from COR@L Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 1747 1669
Constraints 2107 2027
Binaries 1745 1667
Integers 0 2
Continuous 2 0
Implicit Integers 0 2
Fixed Variables 14 0
Nonzero Density 0.00219727 0.00227959
Nonzeroes 8088 7712
Constraint Classification Properties
Original Presolved
Total 2107 2027
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 170 166
Precedence 1425 1357
Variable Bound 0 28
Set Partitioning 30 30
Set Packing 475 439
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 5 5
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 2 0
General Linear 0 2
Indicator 0 0

Structure

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

value min median mean max
Components 0.7781512
Constraint % 18.5002 19.6843 20.4736 20.4736
Variable % 18.5740 19.9760 20.9107 20.9107
Score 0.7870530

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 211913 211913 0 0 0 - 2018-10-29 Solution found during MIPLIB2017 problem selection.
1 211913 211913 0 0 0 - 2018-10-12 Solution imported from MIPLIB2010.

Similar instances in collection

The following instances are most similar to mcsched 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
piperout-d20 easy 11961 11788 149 24 15562 190915 Gleb Belov piperout 29948 decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack binpacking knapsack integer_knapsack mixed_binary general_linear
piperout-d27 easy 13104 12931 149 24 17470 224457 Gleb Belov piperout 8124 decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack binpacking knapsack integer_knapsack mixed_binary general_linear
piperout-27 easy 11659 11514 121 24 18442 54662 Gleb Belov piperout 8123.999999999973 benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack equation_knapsack integer_knapsack mixed_binary general_linear
piperout-08 easy 10399 10245 130 24 14589 44959 Gleb Belov piperout 125054.9999999999 benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack equation_knapsack integer_knapsack mixed_binary general_linear
gus-sch easy 5475 2736 2736 3 5984 33135 Alexandra M. Newman -1167 decomposition aggregations precedence variable_bound set_packing set_covering cardinality invariant_knapsack integer_knapsack mixed_binary general_linear

Reference

@misc{coral,
 key = {zzz coral},
 note = {http://coral.ie.lehigh.edu/data-sets/mixed-integer-instances/},
 title = {{COR@L} {MIP} {I}nstances},
 year = {2010}
}

Last Update Mar 04, 2024 by Julian Manns
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