neos-3691541-lonja

decomposition precedence variable_bound set_partitioning invariant_knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jeff Linderoth	10300	10320	3.81651e-04	open	neos-pseudoapplication-13	-0.007441450579999998*	neos-3691541-lonja.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	10300	10300
Constraints	10320	10320
Binaries	10200	10200
Integers	0	0
Continuous	100	100
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000381651	0.000381651
Nonzeroes	40568	40568

Constraint Classification Properties
	Original	Presolved
Total	10320	10320
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	10000	10000
Variable Bound	115	115
Set Partitioning	100	100
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	4	4
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	101	101
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	2.004321
Constraint %		0.988372	0.989826	0.988372	0.998062
Variable %		1.000000	1.000000	1.000000	1.000000
Score	0.979927

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	-0.0074415	1e+100	0	9.3e-06	0	Alex Fender, Alice Boucher, Akif Coerduek, Piotr Sielski, Burcin Bozkaya, Preethi Maulik	2025-01-10	Found using GPU-accelerated MIP in NVIDIA cuOpt
1	0.0360862	1e+100	0	9.0e-07	0	Edward Rothberg	2020-09-14	Found with Gurobi

Similar instances in collection

The following instances are most similar to neos-3691541-lonja 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
neos-1337307	easy	2840	2840	0	0	5687	30799	NEOS Server Submission	neos-pseudoapplication-13	-202319	binary decomposition benchmark_suitable precedence set_partitioning invariant_knapsack knapsack mixed_binary
neos-4300652-rahue	easy	33003	20900	0	12103	76992	183616	Jeff Linderoth	neos-pseudoapplication-13	2.1416	benchmark decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality knapsack mixed_binary
neos-631710	easy	167056	167056	0	0	169576	834166	NEOS Server Submission	neos-pseudoapplication-75	203	benchmark binary benchmark_suitable precedence set_partitioning set_packing binpacking
reblock354	hard	3540	3540	0	0	19906	52901	Andreas Bley	reblock	-39280521.2281657	binary precedence knapsack
gus-sch	easy	5475	2736	2736	3	5984	33135	Alexandra M. Newman	–	-1167	decomposition aggregations precedence variable_bound set_packing set_covering cardinality invariant_knapsack integer_knapsack mixed_binary general_linear

Reference

No bibliographic information available