ns1631475

decomposition precedence variable_bound set_partitioning cardinality mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	22696	24496	2.09966e-04	open	neos-pseudoapplication-75	11100*	ns1631475.mps.gz

Traveling salesman problem model Imported from MIPLIB2010.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	22696	22696
Constraints	24496	24496
Binaries	22470	22470
Integers	211	211
Continuous	15	15
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000209966	0.000209966
Nonzeroes	116733	116733

Constraint Classification Properties
	Original	Presolved
Total	24496	24496
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	22260	22260
Variable Bound	28	28
Set Partitioning	30	240
Set Packing	0	0
Set Covering	0	0
Cardinality	1785	1575
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	183	183
General Linear	210	210
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	2.328380
Constraint %		0.428641	0.432704	0.428641	0.861365
Variable %		0.467043	0.471698	0.467043	0.991364
Score	0.912964

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	Submitter	Date	Description
3	11100		Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
2	12900		Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	13500	13500	-	2018-10-10	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ns1631475 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
piperout-d20	easy	11961	11788	149	24	15562	190915	Gleb Belov	piperout	29948	decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack binpacking knapsack integer_knapsack mixed_binary general_linear
piperout-d27	easy	13104	12931	149	24	17470	224457	Gleb Belov	piperout	8124	decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack binpacking knapsack integer_knapsack mixed_binary general_linear
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
neos-4295773-pissa	hard	85126	85124	0	2	210116	552408	Jeff Linderoth	neos-pseudoapplication-6	0.03830719099856019	decomposition aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack knapsack mixed_binary
comp16-3idx	hard	64193	56745	14	7434	71594	347276	Matias Sørensen	coursetimetabling	18.0	decomposition aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack mixed_binary general_linear

Reference

@misc{neos,
 key = {zzz neos},
 note = {http://www.neos-server.org},
 title = {{NEOS} {S}erver for {O}ptimization},
 year = {2011}
}