neos-4335793-snake

numerics aggregations precedence variable_bound set_packing cardinality invariant_knapsack knapsack mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jeff Linderoth	30827	37166	1.12697e-04	hard	neos-pseudoapplication-44	27	neos-4335793-snake.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	30827	30790
Constraints	37166	37137
Binaries	20473	20436
Integers	7865	9106
Continuous	2489	1248
Implicit Integers	0	1241
Fixed Variables	0	0
Nonzero Density	0.000112697	0.000112838
Nonzeroes	129119	129024

Constraint Classification Properties
	Original	Presolved
Total	37166	37137
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	518	518
Precedence	1218	624
Variable Bound	19612	20214
Set Partitioning	0	0
Set Packing	623	623
Set Covering	1158	0
Cardinality	221	221
Invariant Knapsack	0	1158
Equation Knapsack	0	0
Bin Packing	37	0
Knapsack	0	1158
Integer Knapsack	0	0
Mixed Binary	5939	1761
General Linear	7840	10860
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	3.884965
Constraint %		0.00539	0.0092200	0.00539	1.34367
Variable %		0.00649	0.0129088	0.00649	2.69893
Score	0.705275

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	Cons. Viol	Submitter	Date	Description
3	27		0e+00	Robert Bixby	2020-02-10	Solved with Gurobi 9.0 within 6 hours
2	27		6e-07	Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	43	43	1e-07	-	2018-10-16	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-4335793-snake 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-3656078-kumeu	hard	14870	9755	4455	660	17656	59292	Jeff Linderoth	neos-pseudoapplication-44	-13172.2	benchmark benchmark_suitable aggregations precedence variable_bound set_packing cardinality invariant_knapsack knapsack mixed_binary general_linear
supportcase17	easy	1381	732	235	414	2108	5253	Michael Winkler	–	1329.999999999999	benchmark_suitable aggregations precedence variable_bound set_partitioning mixed_binary general_linear
fastxgemm-n2r7s4t1	easy	904	56	0	848	6972	22584	Laurent Sorber	fastxgemm	41.99999999999998	decomposition benchmark_suitable variable_bound set_partitioning set_covering mixed_binary general_linear
fastxgemm-n2r6s0t2	easy	784	48	0	736	5998	19376	Laurent Sorber	fastxgemm	230	benchmark decomposition benchmark_suitable variable_bound set_partitioning set_covering mixed_binary general_linear
uccase8	easy	37413	9576	0	27837	53709	214625	Daniel Espinoza	uccase	11167.74532	benchmark_suitable aggregations variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary

Reference

No bibliographic information available