sing44

benchmark decomposition benchmark_suitable aggregations variable_bound set_partitioning cardinality mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Daniel Espinoza 59708 54745 8.60461e-05 hard sing 8128831.1772 sing44.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 59708 59708
Constraints 54745 54745
Binaries 43524 43524
Integers 0 0
Continuous 16184 16184
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 8.60461e-05 8.60461e-05
Nonzeroes 281260 281260
Constraint Classification Properties
Original Presolved
Total 54745 54745
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 2260 2260
Precedence 0 0
Variable Bound 31990 31990
Set Partitioning 9590 11074
Set Packing 0 0
Set Covering 0 0
Cardinality 10737 9253
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 168 168
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 1.939519
Constraint % 0.00913 1.15922 0.0127866 4.28715
Variable % 0.00670 1.15911 0.0100489 4.20379
Score 0.967937

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 8128831 8128831 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to sing44 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
sing326 hard 55156 40010 0 15146 50781 268173 Daniel Espinoza sing 7753674.85376 benchmark decomposition benchmark_suitable aggregations variable_bound set_partitioning cardinality mixed_binary
uccase8 easy 37413 9576 0 27837 53709 214625 Daniel Espinoza uccase 11167.74532 benchmark_suitable aggregations variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary
uccase9 easy 33242 8064 0 25178 49565 332316 Daniel Espinoza uccase 10993.131409 benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary
uccase7 open 33020 7224 0 25796 47132 335644 Daniel Espinoza uccase 26834.36246165* aggregations precedence variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary
lr2-22dr3-333vc4v17a-t60 open 109519 92865 0 16654 108566 435517 Dimitri Papageorgiou maritime no_solution decomposition aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack mixed_binary

Reference

No bibliographic information available

Last Update Okt 02, 2019 by Gregor Hendel
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