31 st Oct, 2002
Contents Introduction Metrics for power awareness
Routing Protocols
> > > Power Source Routing (PSR) Local Energy Aware Routing (LEAR) Geographical and Energy Aware Routing (GEAR) > Minimum Energy Mobile Wireless Networks > Low Energy Adaptive Clustering Hierarchy (LEACH) > > Sensor Protocols for Information via Negotiation Hierarchical Power Aware Routing in Sensor Networks
References
Introduction – Power Concerns
Contents Introduction Metrics for power awareness
Routing Protocols
> > > Power Source Routing (PSR) Local Energy Aware Routing (LEAR) Geographical and Energy Aware Routing (GEAR) > Minimum Energy Mobile Wireless Networks > Low Energy Adaptive Clustering Hierarchy (LEACH) > > Sensor Protocols for Information via Negotiation Hierarchical Power Aware Routing in Sensor Networks
References
• Aims to minimize hop counts and propagation delay • Fails to take into account the power usage of nodes • Results in poor lifetime of networks
Power Aware Metrics Intuition conserve power and share cost of routing packets Metrics
1. Minimize energy consumed / packet 2. Maximize time to Network Partition 3. Minimize variance in node power levels 4. Minimize cost / packet 5. Minimize maximum node cost
Definitions: – T(a,b) = energy consumed in transmitting and receiving one packet over one hop from a to b - e j = Σ k-1 i=1 T(n i , n i+1 ) = total energy spent for packet j Goal: - Minimize e j for all packets j Note: - In lightly loaded networks this automatically finds shortest hop path - In heavily loaded networks due to contention it might not be shortest
Definition: - Cut Set: set of nodes that divide the network into two partitions As soon as one node in the set dies the delay experienced increases Goal: - To balance load of the nodes in the Cut Set to maximize network life Problems: - The problem is similar to scheduling tasks to multiple servers so that the response time is minimized, which is known to be NP-complete
3. Minimize variance in node power levels Goal: - To keep all nodes up and running together for as long as possible Concept: - Build a route that takes into account the amount of data waiting to be transmitted in all the intermediate nodes Merit: - Achieve some kind of load balancing to ensure similar rates of dissipation of energy throughout the network
4. Minimize cost / packet Definition: Total cost of sending packet j: c j = Σ k-1 i=1 f i (x i ) Where, - x i is the energy dissipated in node i till now - f i (x i ) is the cost of node i:
f i (x i ) = 1 / (1 – g(x i ))
Where g(x i ) is the normalized battery capacity Goal: - Minimize c j for all packets j
4. Minimize cost / packet (contd.) Advantage: - The remaining batter power level is incorporated into the routing decision - This also balances load by avoiding usage of weak nodes in presence of stronger ones - Network congestion can be taken care of by increasing node cost in presence of contention.
5. Minimize maximum node cost Definition: - C i (t) = cost of routing a packet through node i at time t - Ĉ(t) = maximum of the C i (t)’s Goal: - Minimize Ĉ(t), for all t > 0 Side effects: - Delays node failure - Reduces variance in node power levels
Contents Introduction Metrics for power awareness
Routing Protocols
> > > Power Source Routing (PSR) Local Energy Aware Routing (LEAR) Geographical and Energy Aware Routing (GEAR) > Minimum Energy Mobile Wireless Networks > Low Energy Adaptive Clustering Hierarchy (LEACH) > > Sensor Protocols for Information via Negotiation Hierarchical Power Aware Routing in Sensor Networks
References
MANET Routing Protocols Broad Classifications: Proactive Protocols - Table Driven - Frequent topology updates - Each node knows about all destinations - Distance Vector, Link State Routing, etc.
Reactive Protocols - On Demand - A node learns of other nodes through actual communications - DSR, AODV, etc
Low Power Routing - I Transmission Power - P (i, j) is the Link Cost defined as the power expended for transmitting and receiving a packet between two consecutive nodes i and j - Minimize Σ i,jЄpath P (i, j) o Fixed transmit power • P(i,j) = b x packet_size + c Where b = packet size dependent energy consumption And c = fixed cost for MAC layer control negotiation o Varying transmit power • P(i,j) = k x d α ij Where d ij = distance between i and j And α = parameter depending on physical environment
Low Power Routing - II Remaining Battery Power - R i (t) is the remaining power of node i at time t Simple Approach - Minimize Σ iЄpath 1/R i (t) Min-Max Approach - Avoid routes with nodes having minimum battery capacity among all nodes in all possible routes Conditional Min-Max Approach - Till all nodes in route have energy above a threshold, choose route with minimum total transmission power - As energy falls below threshold, use the min-max algorithm suggested above
Power-Aware Source Routing (PSR) This is a Reactive (On demand) protocol based on DSR Cost Function - The cost of route π at time t is C (π
,
t) - C (π,t) = Σ i • where C Є i π C i (t) (t) is the cost of node i at time t - C i (t) = ρ - ρ i i . [F i / R i (t)] α : transmit power of node i - F i : full-charge battery capacity of node i - R i (t) : remaining battery power of node i at time - α : a positive weighting factor This Cost function takes into account both transmission power and remaining battery power
PSR – Route Discovery RREQ broadcast initiated by source Intermediate nodes can reply to RREQ from cache as in DSR If there is no cache entry, receiving a new RREQ an Starts a timer Keeps the path cost in the header as Min-cost Adds its own cost to the path cost in the header and broadcast On receiving duplicate RREQ an intermediate node re broadcasts it only if the following is true: The timer for that RREQ has not expired The new path cost in the header is less than Min-cost Destination also waits for a specific time after the first RREQ It then replies to the best seen path in that period and ignores others that come later that hear the reply
PSR – Route Discovery Illustration
PSR Route Maintenance Node mobility Connections between some nodes on the path are lost due corresponding entry in the cache is purged.
Energy Depletion Energy of some intermediate node maybe depleting very quickly. This can be addressed in two ways: Semi-global approach Here the source monitors the remaining battery level of the path by periodically polling the intermediate nodes Local approach error at time t if the following condition is met:
PSR Route Cache Invalidation Once the cost of a node has increased beyond the threshold for a particular route, all cache entries to various destinations are invalidated However if a path was newly added to the cache, the node makes some allowance by lowering the threshold by some normalized amount for forwarding packets only in that path some time A node can use an invalidated route for its own message initiations but not for relaying other node’s packets
PSR vs DSR – Simulation on NS(2) Test bed of 20 nodes confined in 1000 x 1000 m^2 area Range of each node is 250 m 100 reliable and random ftp connections Average duration of connection is 20 sec Total simulation time 10000 sec Speed of movement is 10 m/s Random mobility with pause time of 4 sec
PSR vs DSR – network lifetime
PSR – Points to Ponder Threshold timers increase latency Destination has to wait –> blocking nature The choice of the time-out period is critical Route invalidation based on the cost increase threshold is also a sensitive decision Too low can force frequent route discoveries Too high can over use a node in a path
Contents Introduction Metrics for power awareness
Routing Protocols
> > > Power Source Routing (PSR) Local Energy Aware Routing (LEAR) Geographical and Energy Aware Routing (GEAR) > Minimum Energy Mobile Wireless Networks > Low Energy Adaptive Clustering Hierarchy (LEACH) > > Sensor Protocols for Information via Negotiation Hierarchical Power Aware Routing in Sensor Networks
References
Local Energy-Aware Routing (LEAR) Aims to balance energy consumption with shortest routing delays Takes into account a node’s willingness to participate in the routing path which is based on its remaining battery power Destination does not wait to reply –> non-blocking Efficient use of route cache
The basic LEAR Algorithm • Source uses a sequence number for new request • If it gets no reply back it increases the sequence number and re-broadcasts
LEAR – Basic Algorithm Problems Cannot utilize route cache in the basic form since upstream nodes cannot freely decide on behalf of downstream nodes May incur repeated route request messages due to dropping of requests by intermediate nodes in cascade Solutions: four additional routing control messages DROP_ROUTE_REQ ROUTE_CACHE DROP_ROUTE_CACHE CANCEL_ROUTE_CACHE
LEAR – DROP_ROUTE_REQ The Cascading effect Say the path is A -> B -> C1 -> C2 -> D Each of the intermediate nodes say have low energy st threshold On 2 nd request from A to D, C1 will drop and adjust, and so on D will finally get the request on 4 th attempt DROP_ROUTE_REQ On 1 st attempt from A to D, B drops and adjusts itself and also forwards DROP_ROUTE_REQ along the path to D This causes C1 and C2 to adjust their threshold D will receive the request on the 2 nd attempt
LEAR – ROUTE_CACHE Destination may receive multiple ROUTE_REQ and ROUTE_CACHE It replies to only the first one
On receiving CANCEL_ROUTE_CACHE from C1, B invalidates that entry
LEAR – Complete Algorithm
LEAR – Simulation on GloMoSim Test bed of 40 nodes confined in 1000 x 1000 m^2 area Range of each node is 250 m 5 Constant Bit Rate source and destination pair chosen 1024 byte packets sent every sec for a specified duration Total simulation time 500 sec Random waypoint mobility Speed of movement is 5 m/s Pause time is varied from 50 to 400 sec Simulation results shown next are average of 100 runs Initial Threshold value set to 90% of node’s initial power The value of adjustment ‘d’ is taken as 0.1 or 0.4
LEAR – Standard Deviation of energy distribution • Energy Consumption measured at radio layer •35% improved energy balance with high mobility (50 sec pause time) •10% improvement with moderate mobility (400 sec pause time) •The ‘d’ value does not affect much
LEAR – Ratio of accepted ROUTE_REQ • Ratio = total route_reqs accepted / total route_reqs received • Even DSR does not have 100% ratio due to TTL • ‘d’ = 0.1 drops requests more frequently due to lower adjustment
Contents Introduction Metrics for power awareness
Routing Protocols
> > > Power Source Routing (PSR) Local Energy Aware Routing (LEAR) Geographical and Energy Aware Routing (GEAR) > Minimum Energy Mobile Wireless Networks > Low Energy Adaptive Clustering Hierarchy (LEACH) > > Sensor Protocols for Information via Negotiation Hierarchical Power Aware Routing in Sensor Networks
References
Geographical & Energy Aware Routing (GEAR) Mostly appropriate for static data-centric sensor networks The basic concept comprises of two main parts: Route packets towards a Target region through geographical and energy aware neighbor selection Disseminate the packet within the region The concept of the 1 st mobile ad-hoc networks part can also be applied to
GEAR – Energy aware neighbor computation Each node N maintains state h(N,R) which is called learned cost to region R Each node infrequently updates neighbor of its cost When a node wants to send a packet, it checks the learned cost to that region of all its neighbors If the learned cost of a neighbor to a region is not available, the estimated cost is computed as follows: c(Ni, R) = xd(Ni, R) + (1-x)e(Ni) Where, x = tunable weight, d(Ni, R) = normalized distance of neighbor to region e(Ni) = normalized consumed energy at node i
GEAR – Packet forwarding When a node wants to forward a packet to a destination, it checks to see if it has any neighbor closer to destination than itself In case of multiple choices it aims to minimize the learned cost h(Ni, R) It then sets its own cost to: h(N, R) = h(Ni, R) + C(N, Ni) Where, C(N, Ni) = combination of remaining energy of N and Ni and the distance between them
GEAR – Forwarding around holes Incase there are no neighbors closer to destination than itself, the node forwards to the neighbor with the least learned cost It updates its own cost accordingly So next time it wont lie in the route to that region
GEAR – Discussions on hole avoidance If the length of the path from S to T is n, the learned cost will converge after S delivers n packets to same target T Convergence of learned cost only affects efficiency of hole avoidance not its correctness Propagating learned cost further upstream through the update procedure will enable earlier chances to avoid holes
GEAR – Dissemination Once the target region is reached the packets are disseminated within the region by recursive geographic forwarding Forwarding stops when a node is the only one in a sub-region
GEAR – Drawback I • Inefficient Transmission – Recursive geographic forwarding vs. Restricted flooding
GEAR – Drawback II • Non-Termination – When network density is low compared to (sub) target region size
GEAR – proposed solution • Node degree is used as a criteria to differentiate low density networks from high density ones • Choice of restricted flooding over recursive geographic forwarding is made accordingly
Contents Introduction Metrics for power awareness
Routing Protocols
> > > Power Source Routing (PSR) Local Energy Aware Routing (LEAR) Geographical and Energy Aware Routing (GEAR) > Minimum Energy Mobile Wireless Networks > Low Energy Adaptive Clustering Hierarchy (LEACH) > > Sensor Protocols for Information via Negotiation Hierarchical Power Aware Routing in Sensor Networks
References
Minimum Energy Wireless Network • What is “Minimum Energy Network”?
-- It is a network where there is a path from node i to j that consumes the least transmission power . Minimum Energy Network Design --given a set of wireless nodes, for each node find a selected set of nodes called neighbors, set a directed link from the node to its neighbor (enclosure graph) --design an algorithm that will do the above function --protocol is distributed • Design first for a stationary wireless network and then extend it to a mobile scenario
Minimum Energy Network – Power Losses 1. Transmission loss which is proportional to d 2. Receiver power loss constant C.
3. CPU computation loss negligible.
n where d is the distance between transmitter and receiver. n >= 2 Due to 1 above, it can be seen that relaying packets through intermediate nodes might save energy instead of directly transmitting packets.
Relaying Concept • Relay through b if: td n ab + td n bc + C < td n ac TD^n(ab) TD^n(bc) TD^n(ac) • Relay Region: R i->r of the transmit-relay node pair (i,r) is R i->r = {(x,y) | P i->r->(x,y) < P i->(x,y)} e.g, Ra->b = {c} in the above example
Neighbors N(i) of a node i are those nodes that do not fall in the relay region of any other node with respect to i E i = ∩ kεN(i) R c i->k ∩ D N N(i) = {n ε N|(x n ,y n ) ε E i , n ≠ i} Enclosed Node: A node i is said to be enclosed if it has communication links to each of its neighbors and to no other node.
Algorithm to find the Enclosure Graph The distributed protocol to find the enclosure graph consists of two • for each node i, find its neighbors • set up directional links from each node to all its neighbors • This graph is strongly connected Search for Neighbors (Phase 1) A search algorithm is used to determine the above Each node sends a signal to its search region. This signal contains the position of the node. The node also listens to signals. When it receives the signals it can find the relay region of the corresponding node.
Algorithm (contd.) Nodes found in the search fall into two • Alive nodes • Dead nodes When the search algorithm terminates for node i then the set of alive nodes is the set of neighbors
Determining Paths (Phase II) Apply an algorithm similar to bell ford to enclosure graph Lets assume that all nodes wish to find the minimum power path to a particular node called the Master node Path Determination Each node broadcasts its cost to its neighbors The cost of a node i is defined as the minimum power necessary for it to reach the master node Each node finds minimum cost it can attain given costs of its neighbors.
If n ε N(i), when i receives the information cost(n), it computes: C i,n = Cost(n) + P trans (i,n) + P receiver (n) Cost(i) = min nεN(i) C i,n Picks the link corresponding to this minimum cost neighbor
Distributed Mobile Network Protocol developed so far was for a stationery network Localized nature of the search algorithm makes it applicable to mobile scenarios too Here each node periodically executes phase 1 and phase 2.
This time interval should not be too large or too small Thus the protocol can be made self reconfigurable.
Demerit of Minimum Energy Networks The remaining battery power is not taken into consideration.
Contents Introduction Metrics for power awareness
Routing Protocols
> > > Power Source Routing (PSR) Local Energy Aware Routing (LEAR) Geographical and Energy Aware Routing (GEAR) > Minimum Energy Mobile Wireless Networks > Low Energy Adaptive Clustering Hierarchy (LEACH) > > Sensor Protocols for Information via Negotiation Hierarchical Power Aware Routing in Sensor Networks
References
Low Energy Adaptive Clustering Hierarchy (LEACH) In this we consider a micro-sensor network where: 1. The base station is fixed and located far from sensors 2. All nodes are homogeneous and energy constrained Key features of LEACH 1.
Localized coordination and control for cluster setup and operation 2.
3.
Randomized rotation of the cluster heads and the corresponding clusters.
Local compression to reduce global compression
LEACH - Algorithm Details Operation of Leach broken into rounds Round Set-up phase • Advertisement phase • Cluster Set-up Phase • Schedule Creation • Data transmission Steady-state phase
Advertisement Phase Each node decides whether or not to become a cluster head for a round based on a threshold.
Each node say node n generates a random number between 0 and 1. If the random number is less than a threshold T(n) then the node elects itself to be a cluster head.
T(n) = P / ( 1 – P*(r mod 1/p)) if n ε G = 0 otherwise P – desired percentage of cluster heads (P = 0.05) r – current round G – is the set of nodes that have not been cluster head in last 1/P rounds
Advertisement Phase (contd.) Each node that elects itself cluster-head for current round broadcasts a message to the rest of the nodes All cluster-heads transmit their advertisement with the same transmit energy Non cluster heads keep their receivers on Based by the received signal strength, each non cluster node decides to which cluster head to join( assuming symmetric propagation channels)
Cluster Set up Phase Each non-cluster-head node informs the cluster head to whom it wants to join.
During this phase all heads should keep their receivers on Schedule Creation
Each cluster head based on the number of nodes in its cluster creates a TDMA schedule which is broadcasted to its cluster
Radios of non-heads are off when its not transmitting, to preserve energy.
When all data has been received from all the nodes the head performs signal processing to compress the data into a single signal This is then send directly to the base station by a high energy transmission.
Direct Transmission –vs- LEACH
Contents Introduction Metrics for power awareness
Routing Protocols
> > > Power Source Routing (PSR) Local Energy Aware Routing (LEAR) Geographical and Energy Aware Routing (GEAR) > Minimum Energy Mobile Wireless Networks > Low Energy Adaptive Clustering Hierarchy (LEACH) > > Sensor Protocols for Information via Negotiation Hierarchical Power Aware Routing in Sensor Networks
References
Sensor Protocols For Information via Negotiation A family of adaptive protocols that efficiently disseminate sensor network.
Uses Meta-data : high level data descriptor Meta-data negotiations to eliminate redundant information Why data dissemination? – classic flooding can be used but has 3 demerits • Implosion • Overlap • Resource Blindness
SPIN – Negotiation & Resource Management To overcome the problem of implosion and overlap, SPIN nodes negotiate before they transmit data. To negotiate in an energy efficient manner meta data is used Nodes use a resource manager to find out their battery reserves If low then they cut back on certain activities like forwarding third party information.
SPIN MESSAGES REQ : this is in response to a ADV. This contains the meta data that it wants DATA : data message. This contains the actual sensor data that the REQ asked for. It has a meta data header.
SPIN1 : 3 way handshake
Energy Dissipation Comparison
Contents Introduction Metrics for power awareness
Routing Protocols
> > > Power Source Routing (PSR) Local Energy Aware Routing (LEAR) Geographical and Energy Aware Routing (GEAR) > Minimum Energy Mobile Wireless Networks > Low Energy Adaptive Clustering Hierarchy (LEACH) > > Sensor Protocols for Information via Negotiation Hierarchical Power Aware Routing in Sensor Networks
References
Discusses about an online power aware routing algorithm in large sensor networks Path selection takes into consideration both the transmission power and the minimum battery power of the node in the path. It tries to compromise Makes use of zones to take care of the large number of sensor nodes
Pmin : power of the path with minimal power consumption P(V i ) : initial power of node V i P t (V i ) : power of node V i at time t e ij : energy to transmit message between node i and j.
U tij : residual power fraction U tij = (P t (V i ) - e ij ) / P(V i )
1. Find the path with the least power consumption, Pmin by 2. Find the path with least power consumption in the graph.
If the power consumption is greater than zPmin or no path is found, then the previous shortest path is the solution.
3. Find the minimal utij on that path, let it be umin.
4. Find all the edges whose residual power fraction utij is no greater than umin, remove them from the graph.
5. Goto 1.
Max-min zPmin algorithm requires accurate power level information for all nodes in the network This is not feasible for a large network with lots of nodes So the whole network is divided into a small number of zones Each message is routed across zones using the information of the power estimate for the zones
node in the zone for their power level Power estimation measures the number of messages that can flow through the zone Estimation is done relative to direction of message transmission Once the controller node determines the power estimate in each direction it broadcasts these to the other zones This is feasible because the number of zones is small
HPAR – Zone Power Estimation Algorithm
HPAR - Global Path Selection
Local Path Selection The max-min zPmin algorithm is used directly to route a message within a zone.
There could be multiple entry points into the zone and multiple exit points. So how are 2 paths in adjacent zones which are supposed to be part of a common global path connected.
For this we associate a count with each node which tells how many times did a path start from the node when the power Then whenever we find paths we take the start and end node in each zone to be the ones the highest count.
Contents Introduction Metrics for power awareness
Routing Protocols
> > > Power Source Routing (PSR) Local Energy Aware Routing (LEAR) Geographical and Energy Aware Routing (GEAR) > Minimum Energy Mobile Wireless Networks > Low Energy Adaptive Clustering Hierarchy (LEACH) > > Sensor Protocols for Information via Negotiation Hierarchical Power Aware Routing in Sensor Networks
References
References - I [1] Power-Aware Routing in Mobile Ad Hoc Networks – Suresh Singh, Mike Woo, C.S. Raghavendra [1] Power-aware Source Routing Protocol for Mobile Ad Hoc Networks – Morteza Maleki, Karthik Dantu, and Massoud Pedram [2] Non-Blocking Localized Routing Algorithm for Balanced Energy Consumption in Mobile Ad Hoc Networks – Kyungtae Woo, Chansu Yu, Hee Yong Youn, Ben Lee [3] Hierarchical Power-aware Routing in Sensor Networks – Qun Li, Javed Aslam, Daniela Rus [4] H. Meng Minimum Energy Mobile Wireless Networks – Volkan Rodoplu, Teresa [5] A Location-aided Power-aware Routing Protocol in Mobile Ad Hoc Networks – Yuan Xue, Baochun Li
References - II [6] Geographical and Energy Aware Routing: a recursive data dissemination protocol for wireless sensor networks – Yan Yu, Ramesh Govindan, Deborah Estrin [7] Energy-Efficient Communication Protocol for Wireless Microsensor Networks - Wendi Rabiner Heinzelman, Anantha Chandrakasan, Hari Balakrishnan [8] Adaptive Protocols for Information Dissemination in Wireless Sensor Networks - Wendi Rabiner Heinzelman, Joanna Kulik, Hari Balakrishnan [9] GPSR: Greedy Perimeter Stateless Routing for Wireless Networks – Brad Karp, H.T. Kung [10] Dynamic Source Routing in Ad Hoc Wireless Networks – David B. Johnson, David A. Maltz
31 st Oct, 2002