neos-4722843-widden

benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jeff Linderoth	77723	113555	3.52974e-05	easy	neos-pseudoapplication-30	25009.662227	neos-4722843-widden.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	77723	76123
Constraints	113555	113555
Binaries	73349	73349
Integers	20	20
Continuous	4354	2754
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	3.52974e-05	3.60378e-05
Nonzeroes	311529	311516

Constraint Classification Properties
	Original	Presolved
Total	113555	113555
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	95	95
Precedence	71168	71182
Variable Bound	2779	2769
Set Partitioning	2603	2696
Set Packing	0	0
Set Covering	34051	0
Cardinality	93	0
Invariant Knapsack	0	34057
Equation Knapsack	0	0
Bin Packing	8	12
Knapsack	12	10
Integer Knapsack	0	0
Mixed Binary	2674	2662
General Linear	72	72
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	0.4771212
Constraint %		0.0008810	34.9210	34.9210	69.8410
Variable %		0.0538602	41.4743	41.4743	82.8948
Score	0.1194730

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	25009.66	25009.66	1e-07	1e-07	4e-07	-	2018-10-15	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-4722843-widden 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-4306827-ravan	easy	162291	155368	285	6638	261877	639474	Jeff Linderoth	neos-pseudoapplication-30	10186.57303874958	benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack binpacking knapsack integer_knapsack mixed_binary general_linear
neos-4724674-aorere	easy	94145	87022	22	7101	137123	376775	Jeff Linderoth	neos-pseudoapplication-30	8609.1960886	benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack binpacking knapsack mixed_binary general_linear
neos-4805882-barwon	easy	22229	15809	18	6402	49386	117001	Jeff Linderoth	neos-pseudoapplication-30	3010	benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack binpacking knapsack mixed_binary general_linear
neos-4260495-otere	easy	176048	168745	22	7281	295357	702986	Jeff Linderoth	neos-pseudoapplication-30	5290	benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack binpacking knapsack mixed_binary general_linear
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

Reference

No bibliographic information available