uccase7

aggregations precedence variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Daniel Espinoza 33020 47132 2.15668e-04 hard uccase 26834.28427331005 uccase7.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 33020 33006
Constraints 47132 43990
Binaries 7224 7224
Integers 0 1680
Continuous 25796 24102
Implicit Integers 0 1680
Fixed Variables 0 0
Nonzero Density 0.000215668 0.000222735
Nonzeroes 335644 323397
Constraint Classification Properties
Original Presolved
Total 47132 43990
Empty 16 0
Free 0 0
Singleton 2698 0
Aggregations 9836 9836
Precedence 1683 339
Variable Bound 16172 17481
Set Partitioning 0 1680
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 184
Equation Knapsack 0 0
Bin Packing 0 9
Knapsack 0 2970
Integer Knapsack 0 0
Mixed Binary 16727 11491
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 3.268812
Constraint % 0.00682 0.0398050 0.00682 7.95635
Variable % 0.00909 0.0478802 0.00909 9.59523
Score 0.697700

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 26834.28 0 0 0 Robert Bixby 2020-02-21 Solved with Gurobi 9.0 within 3 hours
2 26834.28 0 0 0 Robert Ashford and Alkis Vazacopoulus 2019-12-18 Found using ODH|CPlex
1 26834.36 26834.36 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to uccase7 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
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
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
uccase10 open 110818 16800 0 94018 196498 787045 Daniel Espinoza uccase 39133.6229762502* aggregations precedence variable_bound mixed_binary
irish-electricity easy 61728 9888 0 51840 104259 523257 Paula Carroll 3723497.591396 benchmark benchmark_suitable precedence variable_bound invariant_knapsack binpacking knapsack mixed_binary
sing326 easy 55156 40010 0 15146 50781 268173 Daniel Espinoza sing 7753674.85376 benchmark decomposition benchmark_suitable aggregations variable_bound set_partitioning cardinality mixed_binary

Reference

No bibliographic information available

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