sing326

benchmark decomposition benchmark_suitable aggregations variable_bound set_partitioning cardinality mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Daniel Espinoza 55156 50781 9.57461e-05 easy sing 7753674.85376 sing326.mps.gz

Imported from the MIPLIB2010 submissions. Solved with COPT 7.0 using up to 12 threads in less than 30 minutes.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 55156 55156
Constraints 50781 50781
Binaries 40010 40010
Integers 0 0
Continuous 15146 15146
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 9.57461e-05 9.57461e-05
Nonzeroes 268173 268173
Constraint Classification Properties
Original Presolved
Total 50781 50781
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 1876 1876
Precedence 0 0
Variable Bound 29956 29956
Set Partitioning 9074 10719
Set Packing 0 0
Set Covering 0 0
Cardinality 9707 8062
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 1.949390
Constraint % 0.00985 1.1326 0.0137847 4.55682
Variable % 0.00725 1.1329 0.0108782 4.45464
Score 0.966665

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 7753675 7753675 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to sing326 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
sing44 easy 59708 43524 0 16184 54745 281260 Daniel Espinoza sing 8128831.1772 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
lr2-22dr3-333vc4v17a-t60 open 109519 92865 0 16654 108566 435517 Dimitri Papageorgiou maritime -27262.58917622233* decomposition aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack mixed_binary
uccase7 hard 33020 7224 0 25796 47132 335644 Daniel Espinoza uccase 26834.28427331005 aggregations precedence variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary

Reference

No bibliographic information available

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