Wireless Ad Hoc and Sensor Networks

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Optimized Energy and Delay-Based Routing 393StartIs CH in directrange to the BS?YRoute to BSNStart = CH nodesCompute Link-Cost for all nodes outside thesub-network and in range to all Start nodesLink-Cost = Energy Remaining/(Delay ∗ Distance)Max = 0i = 0i++IsLink-Cost > Maxnode (i)?YMax = Link-costRelay node = Current nodeNNIsi > Number ofnodes in range withStart node?Isi > Number ofnodes in range withStart node?NYYIs Relay node inrange to BS?NStart = Relay nodeRoute Relay node to BSEndFIGURE 8.23Flowchart for the OEDSR protocol.
394 Wireless Ad Hoc and Sensor Networks4. Now, all the nodes that are in range with CH n 4 return RESPONSEpackets. Then CH n 4 makes a list of candidate RNs n 5 , n 8 , n 9 , n 12 ,and n 10 .5. CH n 4 sends the list to CH n 7 . CH n 7 checks if it is in range withany of the nodes in the list.6. Nodes n 9 , n 10, and n 12 are in range with both CH n 4 and n 7 . Theyare selected as the common RNs.7. The link_cost_ factors for n 9 , n 10, and n 12 are calculated.8. The node with the maximum link_cost_ factor value is selected asthe relay node and assigned to Relay(n). In this case, Relay(n)={n 12 }.9. Now node n 12 checks if it is in direct range with the BS, and if itis, then it directly routes the information to the BS.10. Otherwise, n 12 is assigned as the relay node, and all the nodesthat are in range with node n 12 and whose distances to the BS areless than their distances to the BS are taken into consideration.Therefore, nodes n 13 , n 16 , n 19, and n 17 are taken into consideration.11. The link_cost_ factor is calculated for n 13 , n 16 , n 19 , n 14, and n 17 . Thenode with the maximum link_cost_ factor is selected as the nextrelay node. In this case Relay(n) = {n 19 }.12. Next, the relay node n 19 checks if it is in range with the BS. If itis, then it directly routes the information to the BS. In this case,n 19 is in direct range, so the information is sent to the BS directly.8.8.3 Optimality Analysis for OEDSRTo prove that the proposed route created by OEDSR protocol is optimalin all cases, it is essential to show the performance analytically.ASSUMPTION 8.8.1All nodes know the position of the BS irrespective of whether they are mobile ornot. When the BS is mobile, it sends out its location information periodically tothe network. This information is sent using a high-power beacon from the BS toall the nodes in the network.THEOREM 8.8.1The link_cost_ factor based routing generates viable RNs to the BS.PROOF Consider the following two cases:CASE I When the CHs are one hop away from the BS, the CH selectsthe BS directly. In this case, there is only one path from the CH to the BS.Hence, the OEDSR algorithm does not need to be used.
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Wireless Ad Hocand SensorNetworksPr
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18. Chaos in Automatic Control, edi
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CRC PressTaylor & Francis Group6000
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Table of Contents1 Background on Ne
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3 Congestion Control in ATM Network
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5.4.2 Distributed Power Controller
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7.3 Adaptive and Distributed Fair S
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9.2.2 Overview.....................
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the number of connections in each l
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y Maheswaran Thiagarajan, and tirel
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2 Wireless Ad Hoc and Sensor Networ
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10 Wireless Ad Hoc and Sensor Netwo
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2BackgroundIn this chapter, we prov
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Background 51u(k)x n (k + 1)x n (k)
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Background 53with x( 0)being the in
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Background 55with tr(.) the matrix
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Background 57nGiven a function ft (
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Background 592.3.2 Lyapunov Stabili
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Background 61as well as Jagannathan
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Background 63The subsequent example
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Background 65Evaluating this along
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Background 67Now, select the feedba
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Background 69is SISL if and only if
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Background 71L 1 (x)L(x, t)L 0 (x)0
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Background 73for some R > 0 such th
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Background 75Evaluating the first d
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Background 77Section 2.4Problem 2.4
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100 Wireless Ad Hoc and Sensor Netw
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4Admission Controller Design for Hi
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7Distributed Fair Scheduling in Wir
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Distributed Fair Scheduling in Wire
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Predictive Congestion Control for W
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10Adaptive and Probabilistic Power
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Adaptive and Probabilistic Power Co
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Wireless Ad Hoc and Sensor Networks

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