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On the Interaction of Bandwidth Constraints and Energy Efficiency 21529: if (R[x] > capacity and D[x][y] >D[x][u] − D[u][v]) then30: E = E\(x, y)31: end if32: end for33: end for34: end if35: end if36: until (!reconstruct)37: T ← T \T i,j38: end while39: return (F EASIBLE)Psuedocode 1: Successive Minimum Energy PathsIn the first algorithm we create one (for each source-destination pair) minimumenergy path at a time. Such path construction can employ the shortestpath algorithm, e.g. the Bellman Ford algorithm, with the transmitting energyas the cost. We continue adding paths, until the capacity constraint of one nodeis exceeded. We will reduce the maximum transmission power level of each nodewhose transmission violated the capacity of the node in question. The reductionof the transmission power is captured by removing the corresponding edges and,subsequently, rerunning the shortest path. Hypothetically, it is still possible thatthe new path will influence the load of the removed edges, due to the nearbynodes relaying its traffic. Subsequently, we remove nodes as relays from considerationand re-run the shortest-path algorithm. The process continues until a pathcan be found that does not exceed the capacity constraints of any of the nodes ittraverses through and of any of the nodes that overhear its transmission. Therefore,the order of path construction is critical to the outcome. We also note thatcertain traffic load matrices are simply infeasible they cannot be accommodated,because one or more source-destination paths cannot be established.2.2 All Pairs Minimum Energy PathsAll_Pairs_Minimum_Energy_Paths(Input: G(V,E),D,P,T; Output Ps)1: All P airs Shortest P aths(G, P, P s)2: for all u ∈ V do3: C[u] ← capacity4: end for5: for all T i,j ∈ T do6: for all (u, v) ∈ Ps i,j do7: for all x ∈ V do8: if (P [u][v] ≤ P [u][x]) then9: C[x] ← C[x] − T i,j10: end if11: end for
216 T. Chu and I. Nikolaidis12: end for13: end for14: while (true) do15: minNode ←−116: minC ← inf17: for all x ∈ V do18: if (C[x] < 0 and C[x] < minC) then19: minNode ← x20: minC ← C[x]21: end if22: end for23: if (minNode = −1) then24: return (F EASIBLE)25: end if26: for all Ps i,j inP s do27: for k =1to |Ps i,j |−2 do28: s ← Ps i,j [k]29: via ← Ps i,j [k +1]30: d ← CurrentP ath[k +2]31: if (P [s][via] ≤ P [s][minNode] andP [via][d] ≤ P [via][minNode]) then32: for all v ∈ V do33: if (D[via][v] ≤ D[via][d]) then34: C[v]+ = T i,j35: end if36: Ps i,j ← Ps i,j − via37: end for38: end if39: end for40: end for41: if C[minNode] < 0 then42: return (INFEASIBLE)43: end if44: end whilePsuedocode 2: All Pairs Minimum Energy PathsIn the second heuristic, All Pairs Shortest Paths(V,D,Ps) is an all pairsshortest path algorithm applied on aVvertex completely connected graph. Thecosts of the edges are provided in D and the resulting paths returned in Ps. Psis a set of paths. With slight abuse of syntax, Ps i,j represents the path from i toj in set Ps, and Ps ij [k] isthek th vertex along the paths from i to j from set Ps.This algorithm is based on the idea of all-pairs shortest paths algorithm suchas the Floyd-Warshall algorithm, which runs in O(N 3 ) time. We examine thenodes where the bandwidth constraint is violated. We first find out a node such
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Lecture Notes in Computer Science 2
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Samuel Pierre Michel BarbeauEvangel
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PrefaceAd Hoc Networks are wireless
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Program CommitteeG. Alonso, ETHZ, S
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XTable of ContentsResisting Malicio
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2 H. Dubois-Ferrière, M. Grossglau
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10 H. Dubois-Ferrière, M. Grossgla
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SAFAR: An Adaptive Bandwidth-Effici
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14 J. Doshi and P. Kilambiour proto
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16 J. Doshi and P. Kilambipacket th
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18 J. Doshi and P. Kilambibandwidth
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20 J. Doshi and P. Kilambi5 Simulat
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22 J. Doshi and P. Kilambiquery its
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24 J. Doshi and P. Kilambi4. David
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26 P. Narayan and V.R. SyrotiukThe
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28 P. Narayan and V.R. Syrotiuk2.2
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30 P. Narayan and V.R. Syrotiukrand
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32 P. Narayan and V.R. Syrotiukenti
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34 P. Narayan and V.R. SyrotiukDSRA
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36 P. Narayan and V.R. Syrotiuk7. A
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38 L. Qin and T. Kunzthese two prot
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40 L. Qin and T. Kunzsidered broken
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42 L. Qin and T. KunzP = Prdlog( )
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46 L. Qin and T. KunzFig. 5. Averag
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48 L. Qin and T. Kunz6. J. Broch et
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50 M. Diha and S. Pierrethe propose
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52 M. Diha and S. Pierre3. All proc
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54 M. Diha and S. Pierre3.3 Perform
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56 M. Diha and S. PierreCmip/Cprop0
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58 M. Diha and S. PierreThe tunneli
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Proactive QoS Routing in Ad Hoc Net
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62 Y. Ge, T. Kunz, and L. LamontFig
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64 Y. Ge, T. Kunz, and L. Lamontits
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66 Y. Ge, T. Kunz, and L. Lamonttha
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68 Y. Ge, T. Kunz, and L. Lamontwhi
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70 Y. Ge, T. Kunz, and L. Lamontver
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Delivering Messagesin Disconnected
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74 R. Shah and N.C. Hutchinson3.1 T
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76 R. Shah and N.C. Hutchinsonset c
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78 R. Shah and N.C. HutchinsonTable
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80 R. Shah and N.C. HutchinsonOracl
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82 R. Shah and N.C. Hutchinsonthe r
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Extending Seamless IP Multicast Edg
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86 P.M. Ruiz et al.Section 4 presen
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88 P.M. Ruiz et al.Access NetworkCo
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90 P.M. Ruiz et al.Access NetworkR
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92 P.M. Ruiz et al.MIGAccess Networ
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94 P.M. Ruiz et al.10.90.81-hop-750
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A Uniform Continuum Model for Scali
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98 E.W. Grundke and A.N. Zincir-Hey
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100 E.W. Grundke and A.N. Zincir-He
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102 E.W. Grundke and A.N. Zincir-He
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Probabilistic Protocols for Node Di
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106 G. Alonso et al.A node discover
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108 G. Alonso et al.frequency alloc
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110 G. Alonso et al.- D is a diagon
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112 G. Alonso et al.and therefore,
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114 G. Alonso et al.complicated. Fo
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Towards Adaptive WLAN Frequency Man
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118 F. Gamba, J.-F. Wagen, and D. R
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Analyzing Split Channel Medium Acce
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130 J. Deng, Y.S. Han, and Z.J. Haa
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Preventing Replay Attacks for Secur
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142 J. Zhen and S. SrinivasTraffic
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144 J. Zhen and S. SrinivasFig. 2.
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146 J. Zhen and S. Srinivasbeginnin
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148 J. Zhen and S. Srinivasthe time
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150 J. Zhen and S. Srinivas16. Y. H
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152 M. Just, E. Kranakis, and T. Wa
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266 S. Bhadra and A. FerreiraThis s
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268 S. Bhadra and A. FerreiraTheore
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270 S. Bhadra and A. Ferreira4. T.
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272 M.K. Denko and Q.H. MahmoudAn i
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274 M.K. Denko and Q.H. Mahmoud3.1
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276 M.K. Denko and Q.H. Mahmoud5. D
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278 B. Macabéo, S. Pierre, and A.
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280 B. Macabéo, S. Pierre, and A.
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282 A. Benslimane and A. BachirIn [
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284 A. Benslimane and A. BachirFig.
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286 A. Benslimane and A. Bachir5 Co
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288 L. Hughes, K. Shumon, and Y. Zh
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3BerlinHeidelbergNew YorkHong KongL
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Series EditorsGerhard Goos, Karlsru
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Organizing CommitteeConference Co-c
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Table of ContentsSpace-Time Routing
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Author IndexAlonso, G. 104Bachir, A
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