swath

set_partitioning cardinality mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
D. Panton	6805	884	5.81237e-03	hard	swath	467.407491	swath.mps.gz

Model arising from the defense industry, involves planning missions for radar surveillance. John Forrest and Laszlo Ladanyi solved this instance by reformulation in 1999. Alkis Vazacopoulos reports solving this instance using XPRESS 2006B. 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	6805	6404
Constraints	884	483
Binaries	6724	6323
Integers	0	0
Continuous	81	81
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00581237	0.01101930
Nonzeroes	34965	34084

Constraint Classification Properties
	Original	Presolved
Total	884	483
Empty	0	0
Free	0	0
Singleton	401	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	22	22
Set Packing	0	0
Set Covering	0	0
Cardinality	80	80
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	381	381
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	1.322219
Constraint %		0.207039	0.207039	0.207039	0.207039
Variable %		4.809490	4.809490	4.809490	4.809490
Score	0.039416

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	467.4075	467.4075	0	0	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to swath 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
swath3	easy	6805	2706	0	4099	884	34965	D. Panton	swath	397.76134365	benchmark benchmark_suitable mixed_binary
swath2	easy	6805	2406	0	4399	884	34965	D. Panton	swath	385.1996929499999	benchmark_suitable mixed_binary
swath1	easy	6805	2306	0	4499	884	34965	D. Panton	swath	379.07129575	benchmark benchmark_suitable mixed_binary
ns1456591	open	8399	8000	19	380	1997	199862	NEOS Server Submission	neos-pseudoapplication-52	988.1405440676191*	set_partitioning cardinality mixed_binary general_linear
neos-5221106-oparau	open	25445	25120	0	325	13897	245756	Hans Mittelmann	neos-pseudoapplication-46	52.66999999999962*	precedence variable_bound set_partitioning cardinality knapsack mixed_binary

Reference

@article{PantonElbers1999,
 author = {D. M. Panton and A. W. Elbers},
 instance = {swath},
 journal = {Interfaces},
 language = {English},
 number = {2},
 pages = {73--88},
 title = {Mission Planning for Synthetic Aperture Radar Surveillance},
 volume = {29},
 year = {1999}
}