neos-957143

binary benchmark_suitable precedence set_packing invariant_knapsack binpacking knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	57756	2767	3.11416e-03	easy	neos-pseudoapplication-48	-237.7688889	neos-957143.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	57756	57710
Constraints	2767	2767
Binaries	57756	57710
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00311416	0.00311635
Nonzeroes	497676	497630

Constraint Classification Properties
	Original	Presolved
Total	2767	2767
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	1
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	2013	2012
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	377	377
Equation Knapsack	0	0
Bin Packing	257	257
Knapsack	0	120
Integer Knapsack	0	0
Mixed Binary	120	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	2.143015
Constraint %		0.0361402	0.197724	0.216841	0.216841
Variable %		0.0034700	0.722980	0.731242	0.824814
Score	0.270823

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	-237.7689	-237.7689	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-957143 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-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-954925	hard	84718	84718	0	2989	844983	NEOS Server Submission	neos-pseudoapplication-48	-237.7688889	binary 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-948346	easy	57855	57855	0	1570	540443	NEOS Server Submission	neos-pseudoapplication-48	-227.6	binary benchmark_suitable set_packing invariant_knapsack binpacking knapsack
neos-498623	easy	9861	8500	1361	2047	148434	NEOS Server Submission	neos-pseudoapplication-5	16.6	benchmark_suitable aggregations variable_bound set_partitioning set_packing mixed_binary general_linear

Reference

No bibliographic information available