supportcase38

numerics aggregations precedence variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Domenico Salvagnin	6296679	4231124	5.90367e-07	open	–	32873.9683458331*	supportcase38.mps.gz

Instance coming from IBM developerWorks 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	6296679	6137925
Constraints	4231124	3639252
Binaries	2505	2505
Integers	0	0
Continuous	6294174	6135420
Implicit Integers	0	0
Fixed Variables	83964	0
Nonzero Density	5.90367e-07	6.58645e-07
Nonzeroes	15728600	14712400

Constraint Classification Properties
	Original	Presolved
Total	4231124	3639252
Empty	0	0
Free	0	0
Singleton	424494	0
Aggregations	319557	376149
Precedence	3962	2967
Variable Bound	1166715	1008732
Set Partitioning	0	0
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	2316396	2251404
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
Constraint %
Variable %
Score

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
2	32873.97		0	9e-07	0	Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
1	33313.54		0	8e-07	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to supportcase38 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
uccase10	open	110818	16800	0	94018	196498	787045	Daniel Espinoza	uccase	39134.295915*	aggregations precedence variable_bound mixed_binary
splan1	open	1317382	90810	1978	1224594	572800	5233840	C. Helmberg, A. Lau	–	-194336.3443844448*	numerics aggregations variable_bound set_partitioning set_packing cardinality invariant_knapsack knapsack integer_knapsack mixed_binary general_linear
neos-4703857-ahuroa	easy	266502	133470	0	133032	221496	536040	Jeff Linderoth	neos-pseudoapplication-82	7868280750.275999	numerics aggregations variable_bound mixed_binary general_linear
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

Reference

No bibliographic information available