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International Journal of Modern Engineering Research (IJMER)
              www.ijmer.com         Vol.2, Issue.6, Nov-Dec. 2012 pp-4128-4132       ISSN: 2249-6645

Performance Analysis of Routing Metrics for Wireless Sensor Networks
                                      Eswar Rao. K, 1 K Naresh Kumar2
               (Assistant professor, Aditya Institute of Technology and Management, Andhra Pradesh, India)

ABSTRACT:          A wireless sensor network is a              trivially based on simply flooding the entire network.
heterogeneous network consisting of a large number of tiny     However, more elaborate routing algorithms are essential
low-cost nodes and one or more base stations. Each sensor      for the applicability of such wireless networks, since energy
node comprises sensing, processing, transmission, mobilize,    has to be conserved in low powered devices and wireless
position finding system, and power units. These networks       communication always leads to increased energy
can use in various applications like military, health and      consumption.
commercial. Routing in wireless sensor networks has been                 The rest of the paper is organized as section 2:
an active area of research for many years. Sensor nodes        discuss about various routing metrics, section 3: presents a
have a limited transmission range, processing, storage         comparison of routing metrics, section 4: concludes the
capabilities and energy resources are also limited. In         paper.
wireless sensor networks data is forwarded using multi-hop
mechanism. Therefore, a variety of routing metrics has                        II. ROUTING METRICS
been proposed by various authors in wireless sensor                     The existing routing metrics are classified into five
networks for providing routing algorithms with high            categories based on their operation. Topology based, Signal
flexibility in the selection of best path and offering a       strength based, Active probing based, Mobility aware and
compromise between throughput, end-to-end delay, and           Energy aware metrics.
energy consumption. In this paper, we present a detailed
survey about existing routing metrics in wireless sensor            1.1. Topology Based
networks. The routing metrics are also compared based on                 In this technique the topological information of the
their essential characteristics and tabulated.                 network will be considered i,e. the number of neighbors of
                                                               each node, number of hops and/or paths towards a
Keywords: WCETT, ETT, ETX, Hopcount, RTT, MIC                  particular destination. The metrics always consider
                                                               connectivity information which is available locally by the
                I. INTRODUCTION                                routing protocol, without requiring additional passive or
         A wireless sensor network (WSN) is a                  active measurements. The topology-based metrics do not
heterogeneous network consisting of a large number of tiny     take into account several variables that have an impact on
low-cost nodes (devices) and one or more base stations         both the network and application performance, such as the
(sinks). Main purpose of the WSN is to monitor some            transmit rates of the links are popular due to their
physical phenomena (e.g., temperature, barometric              simplicity.
pressure, light) inside an area of deployment. Nodes are
equipped with radio transceiver, processing unit, battery      Hop count
and sensor(s). Nodes are constrained in processing power                 In this metric, every link counts as one equal unit
and energy, whereas the base stations are not severely         independent of the quality or other characteristics of the
energy resources. The base station act as gateways between     link and very simple technique. The ease of implementation
the WSN and other networks such as Internet etc.. The          has made hop count the most widely used metric in wired
WSN is used in various applications like military, health      networks and it is the default metric in many wireless
and commercial. They provide simple and cheap                  sensor networks routing protocols, such as OLSR [2], DSR
mechanism for monitoring in the specified area. WSNs are       [3], DSDV [4] and AODV [5]. Fewer hops on the data path
frequently deployed to collect sensitive information. WSN      produce smaller delay, whether these involve network links
can be used to monitor the movements of traffic in a city.     or buffers or computational power. The implicit assumption
         Such a network can be used to determine location      is the existence of error-free links. On the contrary, links in
of people or vehicles [1]. WSNs can be classified according    wireless sensor networks cannot be assumed error-free.
to several aspects with impact on the security protocol
design. One such aspect is the mobility of nodes and the            1.2. Signal Strength Based Metrics
base station. The nodes can be mobile or placed on static                Signal strength metric has been used as link
positions. The same holds true for the base station. Another   quality metrics in several routing protocols for wireless
consideration is the way the nodes are placed. The nodes       sensor networks. The signal strength can be viewed as a
can be deployed manually on specific locations following       good indicator for measuring link quality since a packet can
some predefined network topology or randomly deployed in       be transferred successfully when the signal strength is more
an area, e.g., by dropping from a plane. The number of         than the threshold value.
nodes is also a very important factor number of nodes in a
network can range from tens to tens of thousands. Because          1.3. Active Probing Based Metrics
of limited transmission range, communication between any                To overcome the drawbacks of topology based
two devices requires collaborating intermediate forwarding     metrics various authors have proposed active probing
network nodes, i.e. devices act as routers to forward the      metrics to carry out active measurements and use probe
data. Communication between any two nodes may be               packets to directly estimate those probabilities. Probing

                                                   www.ijmer.com                                                 4128 | Page
International Journal of Modern Engineering Research (IJMER)
               www.ijmer.com         Vol.2, Issue.6, Nov-Dec. 2012 pp-4128-4132       ISSN: 2249-6645
technique had various challenges such as packet sizes of           Expected Transmission Time (ETT) metric incorporating
probes in the network should be equal to the data so that          the throughput into its calculation. Let S be the size of the
what probes measure is as close to the target as possible and      probing packet and B the measured bandwidth of a link,
probe packets should not give any priority in the network.         then the ETT of this link is defined as
The probing based metrics have proved promising in the
context of wireless sensor networks. They measure directly
the quantity of interest, rather than inferring it from indirect
measurements, and do not rely on analytical assumptions.           Awerbuch [8] proposed Medium Time Metric (MTM)
                                                                   based on overhead, reliability of the link and size of the
Per-hop Round Trip Time (RTT)                                      packet.
         The per-hop Round-Trip Time (RTT) metric is
based on the bidirectional delay on a link [6]. In order to
measure the RTT, a probe packet is sent periodically to
each neighboring node with time stamp. Then each
neighbor node returns the probe immediately. This probe
response enables the sending node to calculate the RTT
                                                                             Where overhead is defined as per-packet overhead
value. The path RTT metric is the summation of all links
                                                                   of the link that includes control frames, back-off, and fixed
RTT in the route. The RTT metric is dependent on the
                                                                   headers and reliability is denoted as the fraction of packets
network traffic. Since it comprises queuing, channel
                                                                   delivered successfully over the link.
contention, as well as 802.11 MAC retransmission delays.
                                                                             As wireless sensor networks provide multiple non-
                                                                   overlapping channels, they propose an adaptation of the
Per-hop packet pair delay (PktPair)
                                                                   ETT metric accounting for the use of multiple channels,
         This delay technique is designed to overcome the
                                                                   namely the Weighted Cumulative ETT (WCETT). Let k be
problem of distortion of RTT measurements due to queuing
                                                                   the total number of channels of a system, the sum of
delays and it consists periodic transmission of two probe
                                                                   transmission times over all nodes on channel j is defined as:
packets with different sizes back-to-back from each node.
The neighbor node calculates the inter-probe arrival delay
and reports it back to the sender. This metric is less
susceptible to self-interference than the RTT metric, but it       As total path throughput will be dominated by the
is not completely immune, as probe packets in multi-hop            bottleneck channel, they propose to use a weighted average
scenario contend for the wireless channel with data packets.       between the maximum value and the sum of all ETTs.
Both the RTT and PktPair metrics measure delay directly,
hence they are load-dependent and prone to the self-
interference phenomenon. Moreover, the measurement
overhead they introduce is O(n 2), where n is the number of        The main disadvantage of the WCETT metric is that it is
nodes.                                                             not immediately clear if there is an algorithm that can
                                                                   compute the path with the lowest weight in polynomial or
Expected Transmission Count (ETX)                                  less time.
         To overcome drawbacks of RTT and PktPair
techniques, authors proposed Expected Transmission Count           Metric of Interference and Channel switching (MIC)
(ETX) metric which is first routing metric based on active         The Metric of Interference and Channel switching (MIC)
probing measurements designed for wireless sensor                  [9] considers intra-flow and inter-flow interference
networks. ETX estimates the number of transmissions                problem. The MIC metric of a path p is defined
required to send a packet over a link. Minimizing the
number of transmissions optimize the overall throughput
and energy consumption. Let df is the expected forward
delivery ratio and dr is the reverse delivery ratio, Assuming
that each attempt to transmit a packet is statistically            where N is the total number of nodes in the network and
independent from the precedent attempt, each transmission          min(ETT) is the smallest ETT in the network, which can be
attempt can be considered a Bernoulli trial and the number         estimated based on the lowest transmission rate of the
of attempts till the packet is successfully received a             wireless cards. The two components of MIC, Interference-
Geometric variable, the expected number of transmissions           aware Re-source Usage (IRU) and Channel Switching Cost
is defined as                                                      (CSC) are defined as:



Expected Transmission Time (ETT), Medium Time Metric
(MTM),       and     Weighted       Cumulative      Expected
Transmission Time (WCETT)                                          Multi-Channel Routing Metric (MCR)
         Draves [7] presented the drawbacks of ETX                          Kyasanur and Vaidya [10] extend WCETT by
technique such as it prefers heavily congested links to            considering the cost of changing channels. Let
unloaded links, if the link-layer loss rate of congested links     InterfaceUsage(i) be the fraction of time a switchable
is smaller than on the unloaded links. Later he proposed the
                                                      www.ijmer.com                                                 4129 | Page
International Journal of Modern Engineering Research (IJMER)
               www.ijmer.com         Vol.2, Issue.6, Nov-Dec. 2012 pp-4128-4132       ISSN: 2249-6645
interface spends on transmitting on channel i and let pi(j)be     estimated as a function of the associativity ticks over all
the probability t used interface is on a different channel        links along the route
when we want to send a packet on channel j. If we assume
that the total of the current interface idle time can
potentially be used on channel j, we can estimate as ps(j)
                                                                  Link affinity and path stability
                                                                  The affinity of a link is related to the received power over
                                                                  that link, its rate of change and a threshold, determining
Let SwitchingDelay denote the switching latency of an
                                                                  whether the link is broken or not. Each node calculates the
interface. Then, the cost of using channel j is measured as
                                                                  strength of the signal received over periodically. The signal
                                                                  strength change rate as the average rate of signal strength
In order to prevent frequent channel switching of the             change as
chosen paths, a switching cost is included into the ETT
metric, so that the resulting MCR metric becomes
                                                                  The link affinity is determined by

Modified ETX (mETX) and effective number of
transmissions (ENT)
Koksal and Balakrishnan [11] considered the accuracy of           The affinity between two nodes A and B is then given by
         loss estimator function. In certain conditions such
as links with low average loss rate but high variability, the     The route stability is then given by the minimum of the
estimation capacity of the mean statistic is poor. They           affinities of all links lying in the route
propose two alternative statistics for the estimation of
required number of transmissions over a link.
                                                                  The route is selected as long as the estimated value for its
Modified ETX (mETX), is defined as                                stability exceeds the required time to transfer data, whose
                                                                  estimate equals the time required to transmit data over the
                                                                  link capacity C.
where μ is the estimated average packet loss ratio of a link
and the variance of this value. Like ETX, mETX is additive        Mobility-model driven metrics
over concatenated links.                                                    Mcdonald and Znati [14] proposed mobility-model
                                                                  driven metric, which defines a probabilistic measure of the
Effective Number of Transmissions (ENT), is defined as            availability of links that are subject to link failures caused
                                                                  by node mobility. Each node is characterized by statistical
                                                                  distribution of the mean, variance of the speed of a node
The δ acts as an additional degree of freedom with respect        and average interval time. Gerharz et al. [15] and Jiang et
to mETX and the value of δ depends on the number of               al. [16] proposed metric based on the estimation of average
subsequent retransmissions, which will cause the link layer       residual lifetime of a link. However, the weak link in all
protocol to give up a transmission attempt.                       these studies is the assumption that all nodes have similar
                                                                  mobility characteristics which is not acceptable in wireless
     1.4. Mobility-Aware Metrics                                  sensor networks.
          Mobility-aware metrics selects routes with higher
expected life-time to minimize the routing overhead related             1.5. Energy-Aware Metrics
to route changes and their impact on throughput. The                         Energy consumption is an important constraint in
metrics largely use signal strength measurements and their        wireless sensor networks. Sensors have restricted battery
rate of variation to infer the stability of links and routes.     lifetime and are most vulnerable to the energy constraints.
The path average degree of association stability, as              In some cases, choosing paths so that the overall delay is
proposed in the context of associativity based routing            minimized may result in overuse of certain nodes in the
(ABR) and the affinity metric defined in [12] and reused          network and premature exhaustion of their battery.
by the Route-Lifetime Assessment Based Routing (RABR)             Therefore, energy concerns have to be properly reflected in
protocol in [13].                                                 the definition of routing metrics. The total energy
                                                                  consumed when sending and receiving a packet is
Link associativity ticks and path average degree of               influenced by various factors such as the wireless radio
association stability                                             propagation environment, interference from simultaneous
          Sensor nodes transmit beacon packets at fixed time      transmissions, MAC protocol operation, and routing
intervals and calculate the received number of probs from         algorithm. The aim objective of energy aware metrics is to
their neighbors. These values serve as indicators of the          minimize overall energy consumption and to maximize the
actual stability of the link. Low values of associativity ticks   time until the first node runs out of energy.
imply mobile nodes in high mobility state, whereas high
associativity ticks, beyond some threshold value thrA, are        Minimal Total Power routing (MTPR)
obtained when a mobile node is more stable. The average                   K. Scott [17] proposed Minimal Total Power
degree of association stability over route R, AaveR, is           Routing metric MTPR to minimize the overall energy
                                                     www.ijmer.com                                                  4130 | Page
International Journal of Modern Engineering Research (IJMER)
               www.ijmer.com         Vol.2, Issue.6, Nov-Dec. 2012 pp-4128-4132       ISSN: 2249-6645
consumption. Later Singh [18] formalize this idea. Let ei,j       Maximal residual energy path routing (MREP)
denote the energy consumed for transferring a packet from                  Chang and Tassiulas [22] proposed Maximum
node i to the neighboring node j. Then, if the packet has to      Residual Energy Path (MREP) link metric based on the
traverse the path p, including nodes n1…..nk, the total           remaining battery capacity and the necessary transmission
energy E required for the packet transfer is                      energy. Let ei,j be the energy consumed to send one packet
                                                                  over the link from node i to node j, Ej the initial battery
                                                                  energy and E‟j the residual energy at node j. Chang and
                                                                  Tassiulas define two metrics for the link i to j. The
Minimum battery cost routing (MBCR)
                                                                  remaining energy of a node di,j, defined as
         In this metric the battery capacity of a node is
taken into consideration to balance the energy consumption
over all nodes in a network. The “Minimum Battery Cost
                                                                  and the inverse of the residual capacity of a node in terms
Routing” (MBCR) [18] is based on the remaining battery
                                                                  of packets that can be delivered with the remaining energy
capacity of the node. The ratio of battery capacity Rbrc is
defined as


                                                                      2. Comparison of Routing Metrics
Under the assumption that all nodes have the same battery         The various metrics are compared based on important
full capacity, a cost value fi(Ei) is assigned to each node n i   parameters and tabulated below table 1.
based on its residual battery capacity E i
                                                                  Table 1: comparison of routing metrics
                                                                  Metrics    Optimization Metric                Path
Then the total available battery lifetime along a path p is the              Objectives      Computation        Metric
sum of the battery capacities of all nodes along the route                                   Method             Function
                                                                  Topology Minimize          Use of locally     Summation
                                                                  based      delay           available
Out of the full set P of possible paths, the one selected p’                                 information
features minimum total residual battery capacity                  Signal     Higher          Use of locally     Based on
                                                                  strength   expected        available          routing
The aim drawback of MBCR is that the selected route may           based      route life time information        algorithm
well feature individual nodes with small remaining battery        Active     Minimize        Active             Summation
capacity.                                                         probing    delay           probing
                                                                  based      Minimize
Min-Max Battery Cost Routing (MMBCR)                                         probability of
         The Min-Max Battery Cost Routing (MMBCR)                            data delivery
metric [19] addresses the drawbacks of MCBR metric in             Mobility Higher            Active             Based on
avoiding nodes with very low residual battery capacity            aware      expected        probing            the routing
along paths with high overall battery capacity. The idea is                  route lifetime Metrics             algorithm
to select a path, which minimizes the maximum power                                          piggybacked
required at any node in a network. The MMCBR the chosen                                      to       route
path must p‟ fulfill                                                                         discovery
                                                                                             packets
                                                                  Energy     Minimize        Use of locally     Summation
                                                                  aware      energy          available
Conditional     max-min     battery    capacity    routing                   consumption     information
(CMMBCR)
         Toh [20] combines the MTPR and MMBCR into                                  III. CONCLUSION
one single hybrid routing metric called Conditional Max-          A wireless sensor network is a heterogeneous network
Min Battery Capacity Routing (CMMBCR) metric. It                  consisting of a large number of tiny low-cost nodes and one
searches paths using MTPR, with the restriction that all          or more base stations. These networks can use in various
nodes need to have a remaining percentage battery capacity        applications like military, health and commercial. Routing
that exceeds a threshold value γ. If there is no such path        in wireless sensor networks has been an active area of
then MMBCR is used.                                               research for many years. Sensor nodes have a limited
         Later Kim [21] compares MTPR, MMBCR and                  transmission range, processing, storage capabilities and
CMMBCR. He presented the overhearing transmissions of             energy resources are also limited. In this paper, we
some neighboring nodes have a significant impact on the           presented a detailed survey about existing routing metrics in
performance of each metric and all behave similarly. In           wireless sensor networks. The routing metrics are also
dense networks MTPR allows connections to live longer,            compared based on their essential characteristics and
whereas in sparse networks it is more important to avoid          tabulated. As sensor nodes have limited battery capability
network partition hence MMBCR performs better.                    energy aware routing metrics are useful.



                                                     www.ijmer.com                                                 4131 | Page
International Journal of Modern Engineering Research (IJMER)
             www.ijmer.com         Vol.2, Issue.6, Nov-Dec. 2012 pp-4128-4132       ISSN: 2249-6645
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Bb2641284132

  • 1. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol.2, Issue.6, Nov-Dec. 2012 pp-4128-4132 ISSN: 2249-6645 Performance Analysis of Routing Metrics for Wireless Sensor Networks Eswar Rao. K, 1 K Naresh Kumar2 (Assistant professor, Aditya Institute of Technology and Management, Andhra Pradesh, India) ABSTRACT: A wireless sensor network is a trivially based on simply flooding the entire network. heterogeneous network consisting of a large number of tiny However, more elaborate routing algorithms are essential low-cost nodes and one or more base stations. Each sensor for the applicability of such wireless networks, since energy node comprises sensing, processing, transmission, mobilize, has to be conserved in low powered devices and wireless position finding system, and power units. These networks communication always leads to increased energy can use in various applications like military, health and consumption. commercial. Routing in wireless sensor networks has been The rest of the paper is organized as section 2: an active area of research for many years. Sensor nodes discuss about various routing metrics, section 3: presents a have a limited transmission range, processing, storage comparison of routing metrics, section 4: concludes the capabilities and energy resources are also limited. In paper. wireless sensor networks data is forwarded using multi-hop mechanism. Therefore, a variety of routing metrics has II. ROUTING METRICS been proposed by various authors in wireless sensor The existing routing metrics are classified into five networks for providing routing algorithms with high categories based on their operation. Topology based, Signal flexibility in the selection of best path and offering a strength based, Active probing based, Mobility aware and compromise between throughput, end-to-end delay, and Energy aware metrics. energy consumption. In this paper, we present a detailed survey about existing routing metrics in wireless sensor 1.1. Topology Based networks. The routing metrics are also compared based on In this technique the topological information of the their essential characteristics and tabulated. network will be considered i,e. the number of neighbors of each node, number of hops and/or paths towards a Keywords: WCETT, ETT, ETX, Hopcount, RTT, MIC particular destination. The metrics always consider connectivity information which is available locally by the I. INTRODUCTION routing protocol, without requiring additional passive or A wireless sensor network (WSN) is a active measurements. The topology-based metrics do not heterogeneous network consisting of a large number of tiny take into account several variables that have an impact on low-cost nodes (devices) and one or more base stations both the network and application performance, such as the (sinks). Main purpose of the WSN is to monitor some transmit rates of the links are popular due to their physical phenomena (e.g., temperature, barometric simplicity. pressure, light) inside an area of deployment. Nodes are equipped with radio transceiver, processing unit, battery Hop count and sensor(s). Nodes are constrained in processing power In this metric, every link counts as one equal unit and energy, whereas the base stations are not severely independent of the quality or other characteristics of the energy resources. The base station act as gateways between link and very simple technique. The ease of implementation the WSN and other networks such as Internet etc.. The has made hop count the most widely used metric in wired WSN is used in various applications like military, health networks and it is the default metric in many wireless and commercial. They provide simple and cheap sensor networks routing protocols, such as OLSR [2], DSR mechanism for monitoring in the specified area. WSNs are [3], DSDV [4] and AODV [5]. Fewer hops on the data path frequently deployed to collect sensitive information. WSN produce smaller delay, whether these involve network links can be used to monitor the movements of traffic in a city. or buffers or computational power. The implicit assumption Such a network can be used to determine location is the existence of error-free links. On the contrary, links in of people or vehicles [1]. WSNs can be classified according wireless sensor networks cannot be assumed error-free. to several aspects with impact on the security protocol design. One such aspect is the mobility of nodes and the 1.2. Signal Strength Based Metrics base station. The nodes can be mobile or placed on static Signal strength metric has been used as link positions. The same holds true for the base station. Another quality metrics in several routing protocols for wireless consideration is the way the nodes are placed. The nodes sensor networks. The signal strength can be viewed as a can be deployed manually on specific locations following good indicator for measuring link quality since a packet can some predefined network topology or randomly deployed in be transferred successfully when the signal strength is more an area, e.g., by dropping from a plane. The number of than the threshold value. nodes is also a very important factor number of nodes in a network can range from tens to tens of thousands. Because 1.3. Active Probing Based Metrics of limited transmission range, communication between any To overcome the drawbacks of topology based two devices requires collaborating intermediate forwarding metrics various authors have proposed active probing network nodes, i.e. devices act as routers to forward the metrics to carry out active measurements and use probe data. Communication between any two nodes may be packets to directly estimate those probabilities. Probing www.ijmer.com 4128 | Page
  • 2. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol.2, Issue.6, Nov-Dec. 2012 pp-4128-4132 ISSN: 2249-6645 technique had various challenges such as packet sizes of Expected Transmission Time (ETT) metric incorporating probes in the network should be equal to the data so that the throughput into its calculation. Let S be the size of the what probes measure is as close to the target as possible and probing packet and B the measured bandwidth of a link, probe packets should not give any priority in the network. then the ETT of this link is defined as The probing based metrics have proved promising in the context of wireless sensor networks. They measure directly the quantity of interest, rather than inferring it from indirect measurements, and do not rely on analytical assumptions. Awerbuch [8] proposed Medium Time Metric (MTM) based on overhead, reliability of the link and size of the Per-hop Round Trip Time (RTT) packet. The per-hop Round-Trip Time (RTT) metric is based on the bidirectional delay on a link [6]. In order to measure the RTT, a probe packet is sent periodically to each neighboring node with time stamp. Then each neighbor node returns the probe immediately. This probe response enables the sending node to calculate the RTT Where overhead is defined as per-packet overhead value. The path RTT metric is the summation of all links of the link that includes control frames, back-off, and fixed RTT in the route. The RTT metric is dependent on the headers and reliability is denoted as the fraction of packets network traffic. Since it comprises queuing, channel delivered successfully over the link. contention, as well as 802.11 MAC retransmission delays. As wireless sensor networks provide multiple non- overlapping channels, they propose an adaptation of the Per-hop packet pair delay (PktPair) ETT metric accounting for the use of multiple channels, This delay technique is designed to overcome the namely the Weighted Cumulative ETT (WCETT). Let k be problem of distortion of RTT measurements due to queuing the total number of channels of a system, the sum of delays and it consists periodic transmission of two probe transmission times over all nodes on channel j is defined as: packets with different sizes back-to-back from each node. The neighbor node calculates the inter-probe arrival delay and reports it back to the sender. This metric is less susceptible to self-interference than the RTT metric, but it As total path throughput will be dominated by the is not completely immune, as probe packets in multi-hop bottleneck channel, they propose to use a weighted average scenario contend for the wireless channel with data packets. between the maximum value and the sum of all ETTs. Both the RTT and PktPair metrics measure delay directly, hence they are load-dependent and prone to the self- interference phenomenon. Moreover, the measurement overhead they introduce is O(n 2), where n is the number of The main disadvantage of the WCETT metric is that it is nodes. not immediately clear if there is an algorithm that can compute the path with the lowest weight in polynomial or Expected Transmission Count (ETX) less time. To overcome drawbacks of RTT and PktPair techniques, authors proposed Expected Transmission Count Metric of Interference and Channel switching (MIC) (ETX) metric which is first routing metric based on active The Metric of Interference and Channel switching (MIC) probing measurements designed for wireless sensor [9] considers intra-flow and inter-flow interference networks. ETX estimates the number of transmissions problem. The MIC metric of a path p is defined required to send a packet over a link. Minimizing the number of transmissions optimize the overall throughput and energy consumption. Let df is the expected forward delivery ratio and dr is the reverse delivery ratio, Assuming that each attempt to transmit a packet is statistically where N is the total number of nodes in the network and independent from the precedent attempt, each transmission min(ETT) is the smallest ETT in the network, which can be attempt can be considered a Bernoulli trial and the number estimated based on the lowest transmission rate of the of attempts till the packet is successfully received a wireless cards. The two components of MIC, Interference- Geometric variable, the expected number of transmissions aware Re-source Usage (IRU) and Channel Switching Cost is defined as (CSC) are defined as: Expected Transmission Time (ETT), Medium Time Metric (MTM), and Weighted Cumulative Expected Transmission Time (WCETT) Multi-Channel Routing Metric (MCR) Draves [7] presented the drawbacks of ETX Kyasanur and Vaidya [10] extend WCETT by technique such as it prefers heavily congested links to considering the cost of changing channels. Let unloaded links, if the link-layer loss rate of congested links InterfaceUsage(i) be the fraction of time a switchable is smaller than on the unloaded links. Later he proposed the www.ijmer.com 4129 | Page
  • 3. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol.2, Issue.6, Nov-Dec. 2012 pp-4128-4132 ISSN: 2249-6645 interface spends on transmitting on channel i and let pi(j)be estimated as a function of the associativity ticks over all the probability t used interface is on a different channel links along the route when we want to send a packet on channel j. If we assume that the total of the current interface idle time can potentially be used on channel j, we can estimate as ps(j) Link affinity and path stability The affinity of a link is related to the received power over that link, its rate of change and a threshold, determining Let SwitchingDelay denote the switching latency of an whether the link is broken or not. Each node calculates the interface. Then, the cost of using channel j is measured as strength of the signal received over periodically. The signal strength change rate as the average rate of signal strength In order to prevent frequent channel switching of the change as chosen paths, a switching cost is included into the ETT metric, so that the resulting MCR metric becomes The link affinity is determined by Modified ETX (mETX) and effective number of transmissions (ENT) Koksal and Balakrishnan [11] considered the accuracy of The affinity between two nodes A and B is then given by loss estimator function. In certain conditions such as links with low average loss rate but high variability, the The route stability is then given by the minimum of the estimation capacity of the mean statistic is poor. They affinities of all links lying in the route propose two alternative statistics for the estimation of required number of transmissions over a link. The route is selected as long as the estimated value for its Modified ETX (mETX), is defined as stability exceeds the required time to transfer data, whose estimate equals the time required to transmit data over the link capacity C. where μ is the estimated average packet loss ratio of a link and the variance of this value. Like ETX, mETX is additive Mobility-model driven metrics over concatenated links. Mcdonald and Znati [14] proposed mobility-model driven metric, which defines a probabilistic measure of the Effective Number of Transmissions (ENT), is defined as availability of links that are subject to link failures caused by node mobility. Each node is characterized by statistical distribution of the mean, variance of the speed of a node The δ acts as an additional degree of freedom with respect and average interval time. Gerharz et al. [15] and Jiang et to mETX and the value of δ depends on the number of al. [16] proposed metric based on the estimation of average subsequent retransmissions, which will cause the link layer residual lifetime of a link. However, the weak link in all protocol to give up a transmission attempt. these studies is the assumption that all nodes have similar mobility characteristics which is not acceptable in wireless 1.4. Mobility-Aware Metrics sensor networks. Mobility-aware metrics selects routes with higher expected life-time to minimize the routing overhead related 1.5. Energy-Aware Metrics to route changes and their impact on throughput. The Energy consumption is an important constraint in metrics largely use signal strength measurements and their wireless sensor networks. Sensors have restricted battery rate of variation to infer the stability of links and routes. lifetime and are most vulnerable to the energy constraints. The path average degree of association stability, as In some cases, choosing paths so that the overall delay is proposed in the context of associativity based routing minimized may result in overuse of certain nodes in the (ABR) and the affinity metric defined in [12] and reused network and premature exhaustion of their battery. by the Route-Lifetime Assessment Based Routing (RABR) Therefore, energy concerns have to be properly reflected in protocol in [13]. the definition of routing metrics. The total energy consumed when sending and receiving a packet is Link associativity ticks and path average degree of influenced by various factors such as the wireless radio association stability propagation environment, interference from simultaneous Sensor nodes transmit beacon packets at fixed time transmissions, MAC protocol operation, and routing intervals and calculate the received number of probs from algorithm. The aim objective of energy aware metrics is to their neighbors. These values serve as indicators of the minimize overall energy consumption and to maximize the actual stability of the link. Low values of associativity ticks time until the first node runs out of energy. imply mobile nodes in high mobility state, whereas high associativity ticks, beyond some threshold value thrA, are Minimal Total Power routing (MTPR) obtained when a mobile node is more stable. The average K. Scott [17] proposed Minimal Total Power degree of association stability over route R, AaveR, is Routing metric MTPR to minimize the overall energy www.ijmer.com 4130 | Page
  • 4. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol.2, Issue.6, Nov-Dec. 2012 pp-4128-4132 ISSN: 2249-6645 consumption. Later Singh [18] formalize this idea. Let ei,j Maximal residual energy path routing (MREP) denote the energy consumed for transferring a packet from Chang and Tassiulas [22] proposed Maximum node i to the neighboring node j. Then, if the packet has to Residual Energy Path (MREP) link metric based on the traverse the path p, including nodes n1…..nk, the total remaining battery capacity and the necessary transmission energy E required for the packet transfer is energy. Let ei,j be the energy consumed to send one packet over the link from node i to node j, Ej the initial battery energy and E‟j the residual energy at node j. Chang and Tassiulas define two metrics for the link i to j. The Minimum battery cost routing (MBCR) remaining energy of a node di,j, defined as In this metric the battery capacity of a node is taken into consideration to balance the energy consumption over all nodes in a network. The “Minimum Battery Cost and the inverse of the residual capacity of a node in terms Routing” (MBCR) [18] is based on the remaining battery of packets that can be delivered with the remaining energy capacity of the node. The ratio of battery capacity Rbrc is defined as 2. Comparison of Routing Metrics Under the assumption that all nodes have the same battery The various metrics are compared based on important full capacity, a cost value fi(Ei) is assigned to each node n i parameters and tabulated below table 1. based on its residual battery capacity E i Table 1: comparison of routing metrics Metrics Optimization Metric Path Then the total available battery lifetime along a path p is the Objectives Computation Metric sum of the battery capacities of all nodes along the route Method Function Topology Minimize Use of locally Summation based delay available Out of the full set P of possible paths, the one selected p’ information features minimum total residual battery capacity Signal Higher Use of locally Based on strength expected available routing The aim drawback of MBCR is that the selected route may based route life time information algorithm well feature individual nodes with small remaining battery Active Minimize Active Summation capacity. probing delay probing based Minimize Min-Max Battery Cost Routing (MMBCR) probability of The Min-Max Battery Cost Routing (MMBCR) data delivery metric [19] addresses the drawbacks of MCBR metric in Mobility Higher Active Based on avoiding nodes with very low residual battery capacity aware expected probing the routing along paths with high overall battery capacity. The idea is route lifetime Metrics algorithm to select a path, which minimizes the maximum power piggybacked required at any node in a network. The MMCBR the chosen to route path must p‟ fulfill discovery packets Energy Minimize Use of locally Summation aware energy available Conditional max-min battery capacity routing consumption information (CMMBCR) Toh [20] combines the MTPR and MMBCR into III. CONCLUSION one single hybrid routing metric called Conditional Max- A wireless sensor network is a heterogeneous network Min Battery Capacity Routing (CMMBCR) metric. It consisting of a large number of tiny low-cost nodes and one searches paths using MTPR, with the restriction that all or more base stations. These networks can use in various nodes need to have a remaining percentage battery capacity applications like military, health and commercial. Routing that exceeds a threshold value γ. If there is no such path in wireless sensor networks has been an active area of then MMBCR is used. research for many years. Sensor nodes have a limited Later Kim [21] compares MTPR, MMBCR and transmission range, processing, storage capabilities and CMMBCR. He presented the overhearing transmissions of energy resources are also limited. In this paper, we some neighboring nodes have a significant impact on the presented a detailed survey about existing routing metrics in performance of each metric and all behave similarly. In wireless sensor networks. The routing metrics are also dense networks MTPR allows connections to live longer, compared based on their essential characteristics and whereas in sparse networks it is more important to avoid tabulated. As sensor nodes have limited battery capability network partition hence MMBCR performs better. energy aware routing metrics are useful. www.ijmer.com 4131 | Page
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