multi-bases strategies to maximizelifetimein wireless sensornetworkbourreau/sources/bourreau euro...
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Multi-basesstrategies toMaximize Lifetime inWirelessSensor Network
EricBourreau1,MarcSevaux2,FabienCastano3,AndréRossi2,Nubia Velasco31 UniversitédeMontpellier,LIRMM
2 UniversitédeBretagneSud,LABSTICC3 Universidad delosAndes,Bogota,Columbia
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WirelessSensor Network
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WSN(with connectivity constraints)
TargetsSensorsBase
Sensing RangeCommunicationRange
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MaximumLifetime foraWSN(cover) (columns)
TargetsSensors sensingSensors communicating (80%)Base
Sensing RangeComunication Range 4
Resolution Scheme
RMP(Restricted MasterProblem):• Maximize durationofactivated
covers• Packing colums with battery
constraints
PS(Pricing Subproblem):• MIP(Bender’s)• VNS+MIP• EA+MIP• …• CP• EA+CP• ApproximationScheme +CP
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MasterProblem (LP)
tj switch ontime Cj Columnssu sensign node S SensorsBi battery capacity ε Rolel consumption ratey activationboolean fornode swith l
DualVariablesonsu :πu
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1Column Generation(Weighted Node SteinerTree Problem)
G’:graphvariable(targets andbasesinthekernel)
Σu inG’ Costu =TotalCost
Onconnexiongraph:Obligatories Nodes (targets +bases)Cost πu onnodesWeighted PartialSpanning treeSuch asTotalCost <1
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AntiarborescencesouscontraintesSuper-Base
Bases
NeighbourhoodBases
Targets
TargetNeighbourhood
(watchers)
Relay
Senseors
Constraint Programming• CP(G)
Ø Variablewhere variationdomainISagraph
GrégoireDooms,YvesDeville,PierreDupont:CP(Graph):Introducing aGraphComputationDomaininConstraint Programming,CP2005
Ø Available in Choco 3.0 (09/2013)
• tree(G,1)Ø OutDegree =1Ø NoCircuitØ Connexity toanti-root
(articulationpoint<->dominator)Ø O(nm)<->O(n+m)
Xavier Lorca, Jean-Guillaume Fages : Revisiting the tree Constraint, CP 2011
Ø inChoco 3.3extensions(11/2014)https://github.com/chocoteam/choco-graph
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Maximizing Lifetime …anobservation
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100 200 300 400 500
Moy
Min
Max
• Average sizeofcovers :16,96(min15,max20)• 100/16,96=5,89theoritical lifetime (LT)• Average computed LT:4(min3,max5)?!
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EJOR,vol241,Issue1,2014Exactapproaches forlifetime maximization inconnectivity constrained wireless multi-role sensornetworks,F.Castano E.BourreauNVelasco ARossiMSevaux
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Maximizing Lifetime …anidea
• Don’t waste time(andenergy)inconnectivity
Lifetime =5 Lifetime =6 10
Baserepartition Strategies
• Random
• Grid
• Circular
• K-means (p-center)
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LTImprovement
Nœuds/Bases Random Circulaire Grille K-means100 4,14 4,20 4,16 4,161 4,07 4,06 4,07 4,073 4,13 4,25 4,15 4,074 4,13 4,25 4,15 4,259 4,21 4,25 4,25 4,25200 4,93 4,97 4,96 4,951 4,84 4,94 4,95 4,953 4,95 5,00 4,95 4,954 4,95 4,95 4,95 4,959 4,98 5,00 5,00 4,95300 4,89 4,93 4,93 4,931 4,80 4,90 4,92 4,923 4,92 4,96 4,92 4,924 4,92 4,92 4,92 4,929 4,92 4,96 4,96 4,96400 4,90 5,00 5,00 5,001 4,60 5,00 5,00 5,003 5,00 5,00 5,00 5,004 5,00 5,00 5,00 5,009 5,00 5,00 5,00 5,00500 5,52 5,53 5,53 5,531 5,53 5,53 5,53 5,533 5,53 5,53 5,53 5,534 5,53 5,53 5,53 5,539 5,52 5,53 5,53 5,53
3,50
4,00
4,50
5,00
5,50
6,00
100 200 300 400 500
Nœuds/Bases Random Circulaire Grille K-means100 4,14 4,20 4,16 4,161 4,07 4,06 4,07 4,073 4,13 4,25 4,15 4,074 4,13 4,25 4,15 4,259 4,21 4,25 4,25 4,25200 4,93 4,97 4,96 4,951 4,84 4,94 4,95 4,953 4,95 5,00 4,95 4,954 4,95 4,95 4,95 4,959 4,98 5,00 5,00 4,95300 4,89 4,93 4,93 4,931 4,80 4,90 4,92 4,923 4,92 4,96 4,92 4,924 4,92 4,92 4,92 4,929 4,92 4,96 4,96 4,96400 4,90 5,00 5,00 5,001 4,60 5,00 5,00 5,003 5,00 5,00 5,00 5,004 5,00 5,00 5,00 5,009 5,00 5,00 5,00 5,00500 5,52 5,53 5,53 5,531 5,53 5,53 5,53 5,533 5,53 5,53 5,53 5,534 5,53 5,53 5,53 5,539 5,52 5,53 5,53 5,53
Nœuds/Bases Random Circulaire Grille K-means100 4,14 4,20 4,16 4,161 4,07 4,06 4,07 4,073 4,13 4,25 4,15 4,074 4,13 4,25 4,15 4,259 4,21 4,25 4,25 4,25200 4,93 4,97 4,96 4,951 4,84 4,94 4,95 4,953 4,95 5,00 4,95 4,954 4,95 4,95 4,95 4,959 4,98 5,00 5,00 4,95300 4,89 4,93 4,93 4,931 4,80 4,90 4,92 4,923 4,92 4,96 4,92 4,924 4,92 4,92 4,92 4,929 4,92 4,96 4,96 4,96400 4,90 5,00 5,00 5,001 4,60 5,00 5,00 5,003 5,00 5,00 5,00 5,004 5,00 5,00 5,00 5,009 5,00 5,00 5,00 5,00500 5,52 5,53 5,53 5,531 5,53 5,53 5,53 5,533 5,53 5,53 5,53 5,534 5,53 5,53 5,53 5,539 5,53 5,53 5,53 5,53
4strategies x5graphsizesx4basessizex16instancesè 1280benchmarks
4,00
4,50
5,00
5,50
6,00
1 3 4 9
100
200
300
400
500
3,50
4,00
4,50
5,00
5,50
6,00
100 200 300 400 500
Nodes/Bases Random Circular Grid K-means100 4,14 4,20 4,16 4,161 4,07 4,06 4,07 4,073 4,13 4,25 4,15 4,074 4,13 4,25 4,15 4,259 4,21 4,25 4,25 4,25200 4,93 4,97 4,96 4,951 4,84 4,94 4,95 4,953 4,95 5,00 4,95 4,954 4,95 4,95 4,95 4,959 4,98 5,00 5,00 4,95300 4,89 4,93 4,93 4,931 4,80 4,90 4,92 4,923 4,92 4,96 4,92 4,924 4,92 4,92 4,92 4,929 4,92 4,96 4,96 4,96400 4,90 5,00 5,00 5,001 4,60 5,00 5,00 5,003 5,00 5,00 5,00 5,004 5,00 5,00 5,00 5,009 5,00 5,00 5,00 5,00500 5,52 5,53 5,53 5,531 5,53 5,53 5,53 5,533 5,53 5,53 5,53 5,534 5,53 5,53 5,53 5,539 5,53 5,53 5,53 5,53
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750000sCPUL
Nodes/Bases Random Circular Grid K-means
Conclusion• Newdirections(moretocome)
– Fiability incommunications(robustness,disjointpaths)
– Morerealistic relationbetween Battery Consumption vsCommunication• Benchmarksavailable
– http://or-labsticc.univ-ubs.fr/?q=content/wireless-sensor-networkscover breach,bandwith,adjustable range,directional,Q-coverage,multiplerôle,mobile,…
• Budget/PublicationS
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