neos-948346

binary benchmark_suitable set_packing invariant_knapsack binpacking knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	57855	1570	5.9499e-03	easy	neos-pseudoapplication-48	-227.6	neos-948346.mps.gz

Imported from the MIPLIB2010 submissions.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	57855	57855
Constraints	1570	1570
Binaries	57855	57855
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0059499	0.0059499
Nonzeroes	540443	540443

Constraint Classification Properties
	Original	Presolved
Total	1570	1570
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	645	645
Set Covering	45	0
Cardinality	0	0
Invariant Knapsack	274	319
Equation Knapsack	0	0
Bin Packing	186	366
Knapsack	120	240
Integer Knapsack	0	0
Mixed Binary	300	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	1.662758
Constraint %		0.636943	1.30927	1.33758	1.97452
Variable %		0.738052	2.22222	2.47688	3.65569
Score	0.573530

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
1	-227.6	-227.6	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-948346 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-954925	hard	84718	84718	0	2989	844983	NEOS Server Submission	neos-pseudoapplication-48	-237.7688889	binary precedence set_packing invariant_knapsack binpacking knapsack
neos-956971	easy	57756	57756	0	2527	483560	NEOS Server Submission	neos-pseudoapplication-48	-237.7688889	binary benchmark_suitable precedence set_packing invariant_knapsack binpacking knapsack
neos-957143	easy	57756	57756	0	2767	497676	NEOS Server Submission	neos-pseudoapplication-48	-237.7688889	binary benchmark_suitable precedence set_packing invariant_knapsack binpacking knapsack
neos-957323	easy	57756	57756	0	3757	499656	NEOS Server Submission	neos-pseudoapplication-48	-237.7566815	benchmark binary benchmark_suitable precedence variable_bound set_packing invariant_knapsack binpacking knapsack
neos-885086	easy	4860	2430	2430	11574	248310	NEOS Server Submission	neos-pseudoapplication-8	-243	benchmark_suitable variable_bound set_packing mixed_binary

Reference

No bibliographic information available