xmas10-2

aggregations variable_bound cardinality invariant_knapsack binpacking knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Simon Felix	8100	8184	5.36443e-04	open	–	-497*	xmas10-2.mps.gz

Another formulation of an FHNW puzzle (Mix of longest path and flow problem) (Known bounds: 497-511)

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	8100	5980
Constraints	8184	6111
Binaries	900	708
Integers	0	0
Continuous	7200	5272
Implicit Integers	0	0
Fixed Variables	1884	0
Nonzero Density	0.000536443	0.000707480
Nonzeroes	35561	25854

Constraint Classification Properties
	Original	Presolved
Total	8184	6111
Empty	0	0
Free	0	0
Singleton	240	0
Aggregations	3504	2661
Precedence	0	0
Variable Bound	0	8
Set Partitioning	0	0
Set Packing	0	0
Set Covering	0	0
Cardinality	2	2
Invariant Knapsack	841	781
Equation Knapsack	0	0
Bin Packing	0	39
Knapsack	898	1110
Integer Knapsack	0	0
Mixed Binary	2699	1510
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	3.413970
Constraint %		0.016372	0.0293029	0.016372	32.1054
Variable %		0.033173	0.0382519	0.033173	11.7432
Score	0.721965

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	-497	-497	DeepMind	2020-08-12	Obtained with machine learning-based large neighborhood search.
2	-495		Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
1	-489	-489	-	2018-10-10	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to xmas10-2 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
xmas10	open	8100	900	0	7200	9080	43635	Simon Felix	–	-497.0*	aggregations variable_bound cardinality invariant_knapsack binpacking knapsack mixed_binary
neos-1423785	open	21506	1920	0	19586	25721	64082	NEOS Server Submission	neos-pseudoapplication-98	21893.26*	aggregations precedence variable_bound mixed_binary
rocI-3-11	easy	5132	3894	762	476	8165	20540	Joerg Rambau	rocI	-50403	numerics aggregations precedence variable_bound set_partitioning mixed_binary general_linear
a1c1s1	easy	3648	192	0	3456	3312	10178	M. Vyve, Y. Pochet	c1s1	11503.444125	benchmark_suitable aggregations variable_bound mixed_binary
a2c1s1	easy	3648	192	0	3456	3312	10178	M. Vyve, Y. Pochet	c1s1	10889.137625	benchmark_suitable aggregations variable_bound mixed_binary

Reference

No bibliographic information available