supportcase2

binary aggregations set_covering invariant_knapsack binpacking

Submitter Variables Constraints Density Status Group Objective MPS File
Michael Winkler 2912 597385 4.39986e-03 open 65* supportcase2.mps.gz

MIP instances collected from Gurobi forum with unknown application

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 2912 2912
Constraints 597385 597385
Binaries 2912 2912
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00439986 0.00439986
Nonzeroes 7653930 7653930
Constraint Classification Properties
Original Presolved
Total 597385 597385
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 384 384
Precedence 0 0
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 0 0
Set Covering 10905 113
Cardinality 0 0
Invariant Knapsack 0 596776
Equation Knapsack 0 0
Bin Packing 112 112
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 585984 0
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 0.301030
Constraint % 99.8981 99.8981 99.8981 99.8981
Variable % 93.6813 93.6813 93.6813 93.6813
Score 0.063122

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
4 65 65 0 0 0 Frederic Didier 2020-01-22 Obtained with Google OR-tools using 8 Threads through generating subproblems by fixing part of the current solution and trying to solve them with a sub CP-SAT solver
3 155 0 0 0 Edward Rothberg 2019-12-13 Obtained with Gurobi 9.0
2 323 0 0 0 Robert Ashford and Alkis Vazacopoulus 2019-12-18 Found using ODH|CPlex
1 372 372 0 0 0 - 2018-10-15 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to supportcase2 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
supportcase22 hard 7129 7129 0 0 260602 2228828 Michael Winkler 117.0 benchmark binary benchmark_suitable aggregations set_covering invariant_knapsack binpacking knapsack
neos-3402454-bohle hard 2904 2616 0 288 2897380 8953800 Jeff Linderoth neos-pseudoapplication-4 Infeasible benchmark infeasible benchmark_suitable precedence set_partitioning set_covering invariant_knapsack mixed_binary
supportcase21i easy 27 24 3 0 7540 95325 Michael Winkler 20 indicator numerics set_covering invariant_knapsack general_linear
nucorsav open 55410 49360 0 6050 1812472 26170428 Alexandra M. Newman no_solution precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack knapsack mixed_binary
supportcase10 hard 14770 14770 0 0 165684 555082 Michael Winkler 7 benchmark binary benchmark_suitable aggregations precedence variable_bound set_covering invariant_knapsack

Reference

No bibliographic information available

Last Update Mar 04, 2024 by Julian Manns
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