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

Location of instance in collection

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.

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	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	Submitter	Date	Description
4	65	65	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		Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
2	323		Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	372	372	-	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	open	7129	7129	0	0	260602	2228828	Michael Winkler	–	110.0*	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