neos-3755335-nizao

benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jeff Linderoth	40938	111026	1.20522e-04	easy	neos-pseudoapplication-61	50.0301565326	neos-3755335-nizao.mps.gz

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	40938	40938
Constraints	111026	111026
Binaries	5226	5226
Integers	0	0
Continuous	35712	35712
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000120522	0.000120522
Nonzeroes	547794	547794

Constraint Classification Properties
	Original	Presolved
Total	111026	111026
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	96	96
Variable Bound	71424	71424
Set Partitioning	230	230
Set Packing	54	54
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	282	282
Equation Knapsack	0	0
Bin Packing	12	246
Knapsack	6	6
Integer Knapsack	0	0
Mixed Binary	38922	38688
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	2.334454
Constraint %		0.0009010	0.301861	0.0081100	1.03940
Variable %		0.0122136	0.465116	0.0977087	1.52426
Score	0.642006

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
2	50.03016	50.03016	0	0	0	-	2018-10-15	Solution found during MIPLIB2017 problem selection.
1	50.03016	50.03016	0	0	0	-	2018-10-15	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-3755335-nizao 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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
neos-3759587-noosa	easy	27029	4289	22740	72104	318169	Jeff Linderoth	neos-pseudoapplication-61	48.334467769	benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack mixed_binary
supportcase37	easy	20047	1484	18563	59023	135627	Domenico Salvagnin	–	-1048.96	benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
neos-873061	easy	175288	87644	87644	93360	350576	NEOS Server Submission	neos-pseudoapplication-61	113.6562385063	benchmark decomposition benchmark_suitable precedence variable_bound mixed_binary
neos-872648	easy	175219	87575	87644	93291	350438	NEOS Server Submission	neos-pseudoapplication-61	48.60790603143	decomposition precedence variable_bound mixed_binary
neos-3740487-motru	open	1689612	75566	1614046	4936372	26433474	Jeff Linderoth	neos-pseudoapplication-61	164.4691736839999*	precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack mixed_binary

Reference

No bibliographic information available