Kostas Kolomvatsos , Kakia Panagidi, Stathes Hadjiefthymiades Pervasive Computing Research Group (http://p- comp.di.uoa.gr) Department of Informatics and Telecommunications National and Kapodistrian University of Athens Optimal Spatial Partitioning for Resource Allocation ISCRAM 2013 Baden Baden, Germany
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Kostas Kolomvatsos, Kakia Panagidi, Stathes Hadjiefthymiades Pervasive Computing Research Group () Department of Informatics and.
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Pervasive Computing Research Group (http://p-comp.di.uoa.gr)
Department of Informatics and TelecommunicationsNational and Kapodistrian University of Athens
Optimal Spatial Partitioning for Resource Allocation
ISCRAM 2013Baden Baden, Germany
OutlineIntroductionProblem FormulationData OrganizationProposed approachCase Study
IntroductionSpatial Partitioning Problem
Segmentation of a geographical areaOptimal allocation of a number of resourcesResources could be vehicles, rescue teams,
items, supplies, etcThe allocation is done according to:
Population patternsSpatial characteristics of the area
The process is affected by the following issues:Where to locate the resourcesWhich area each resource will coverThe number of resources
Final objective: to maximize the area that the limited number of resources will cover under a number of constraints.
Problem FormulationNj (j=1, 2, …, R, R is the resources number)
resources are available to be allocated in an area AEach resource is of type Tj
The area has an orthogonal scheme (width: W0, height: H0)
A number of constraints should be fulfilled (Cjk, k=1,2, …, K)
In the optimal solution, we have:
where Al is the area covered by the lth resource.The shape of each sub-area is not defined Overlaps should be eliminated
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5
43
1
23
4 5
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jN
1l 0H0WlA
Data OrganizationArea related parameters
Population attributes, density of populationType of area (hilly, flat, etc)Roads – road segments (length, speed limit, width,
type, etc), trafficPlaces of interest - PoIs (schools, hospitals, fuel
stations, etc)Resource related parameters
Type (e.g., vehicle, rescue team, supplies, etc)Maximum speed in emergency and maximum
travel distanceCrew or personnelCurrent Location
Examples:Open Street Map could be the basisOSM data could be retrieved by CloudMade or
Mapcruzin.com
Proposed Approach (1/2)Split the area
Area A is defined by [(xUL, yUL), (xLR, yLR)] – upper left and lower right corners
Area A is divided into Nc X Nc cellsSize of each cell
Define cell weightsUse of AHP for attributes priorityUsers define the relative weight for each attribute -
criterionCell weight calculation
where wi is the ith attribute weight defined by AHP, Aij is the ith attribute value in cell j (e.g., schools, hospitals, fuel stations, etc), NA is the attributes number