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IJRREST: International Journal of Research Review in Engineering Science and Technology (ISSN 2278- 6643) | Volume-2 Issue-1, March 2013
11 | P a g e
Sensor Energy Optimization Using Fuzzy Logic in Wireless Sensor
Networking
*Neeraj Kumar Mishra
*Asst. Professor, R.D. Foundation Group of Institutions, Modinagar, Ghaziabad, U.P., India
Abstract— Wireless sensor networks is
challenging in that it requires an enormous
breadth of knowledge from an enormous variety
of disciplines. A lot of study has been done to
minimize the energy used in routing and number
of protocols has been developed. These protocols
can be classified as - Hierarchical, data centric,
location based and Network flow protocols. In this
paper, we are particularly focusing on
hierarchical protocols. In such types of protocols,
the energy efficient clusters are formed with a
hierarchy of cluster heads. Each cluster has its
representative cluster head which is responsible
for collecting and aggregating the data from its
respective cluster and then transmitting this data
to the Base Station either directly or through the
hierarchy of other cluster heads. Fuzzy logic has
been successfully applied in various areas
including communication and has shown
promising results. However, the potentials of
fuzzy logic in wireless sensor networks still need to
be explored. Optimization of wireless sensor
networks involve various tradeoffs, for example,
lower transmission power vs. longer transmission
duration, multi-hop vs. direct communication,
computation vs. communication etc. Fuzzy logic is
well suited for application having conflicting
requirements. Moreover, in WSN, as the energy
metrics vary widely with the type of sensor node
implementation platform, using fuzzy logic has the
advantage of being easily adaptable to such
changes.
Keywords: WSN, LEACH, CHEF, FUZZY
LOGIC, MULTIHOPE.
1. INTRODUCTION
Micro sensor can contain hundreds or thousands of
sensing nodes. It is desirable to make these nodes as
cheap and energy efficient as possible and relay on
their large numbers to obtain high quality result.
Network protocol must be designed to achieve fault
tolerance in the presence of individual node failure
while minimizing energy consumption. The limited
wireless channel bandwidth must be shared among all
the sensors in the network routing protocol for these
networks should be able to perform local
collaboration to reduce bandwidth requirement.
Sensing communication processing and battery units
are the primary components of a sensor node.
Individual sensors have the capacity to detect events
occurring in their area of deployment. Reliable data
transport is an important facet of dependability and
quality of services in several applications of wireless
sensor networks. Different application have different
reliability requirement.
2. RELATED WORK
A lot of study has been done to minimize the energy
used in routing and number of protocols has been
developed. These protocols can be classified as -
Hierarchical, data centric, location based and
Network flow protocols. In this paper, we are
particularly focusing on hierarchical protocols. In
such types of protocols, the energy efficient
clusters are formed with a hierarchy of cluster
heads. Each cluster has its representative cluster
head which is responsible for collecting and
aggregating the data from its respective cluster and
then transmitting this data to the Base Station
either directly or through the hierarchy of other
cluster heads. The existing hierarchical protocols are:
2.1. LEACH (Low Energy Adaptive Clustering
Hierarchy)
LEACH is one of the most popular clustering
algorithms. The main idea behind LEACH is to form
clusters based upon the signal strength of the sensors.
Some of the nodes are randomly chosen as the cluster
heads(CH) and a node is assigned to the CH based
upon the signal strength received by that node from the
CH. CHs have to do a lot more work than the s, hence
they dissipate a lot more energy and may die quickly.
In order to maintain a stable network, CHs keep on
rotating, in every round. So, a node which had become
CH may not get an opportunity to become CH again
before a set interval of time. A node can become the
cluster head for the current round if its value is less
IJRREST: International Journal of Research Review in Engineering Science and Technology (ISSN 2278- 6643) | Volume-2 Issue-1, March 2013
12 | P a g e
than the threshold T (n) where T (n) is given by: P is
the percentage of cluster heads, r is the rth round, and
G is the set of nodes which are not cluster heads in
the last 1/P rounds. Figure 1 show how clusters are
formed in 400*400 regions in one round. Nodes
having same symbol belong to the same cluster. The
cluster heads are shown in red. Base Station (or sink)
is situated at (50, 50) and is shown by X. Compared
to direct communication, LEACH achieves 7 times
more reduction in energy dissipation and about 4-8
times more reduction as compared to MTE routing
protocol . A drawback of LEACH is that LEACH is a
single hop routing. Each node transmits its data to
either CH or BS directly. Moreover, for a
network of larger regions, the dynamic clustering
may become overhead since rotation of CH at every
round and advertisements of CHs also dissipate
energy. LEACH also gives no idea about the
placement of nodes and the distribution of clusters is
totally randomized.
2.2. LEACH-C protocol
LEACH-C is a centralized clustering algorithm in
which BS has the right to select the clusters based
upon the 1-P*(r mod 1/p) annealing algorithm to find
k optimal number of clusters. BS selects the CHs for a
particular round. The protocol guarantees optimum
clusters but has a drawback that each node sends
information about its current location and residual
energy to the sink during the set up phase which
results in an extra overhead.
2.3. CHEF (Cluster-Head Election Mechanism
using Fuzzy Logic)
In CHEF chance has been calculated using Fuzzy if-
then rules to elect the cluster head (CH). Two
variables namely proximity distance and energy
are considered as key parameters in calculating
the chance. The fuzzy logic based approach allows
the node with High energy and locally optimal node
to elect as a cluster head. The CHEF is 22.7% more
efficient than LEACH. In this paper, an effort has been
done to compare the three protocols LEACH, CHEF
and the proposed protocol F-MCHEL (Fuzzy based
Master cluster head election protocol), based on the
energy dissipation model shown in the figure 1.
For a particular node, the energy is dissipated because
of receiving and transmitting. The energy expanded in
transmitter to transmit k-bit message is given by:
ET(k,d) = (Eelec * k) + (Efs*k*d2
) if d<=d0
Fig.1. Energy Dissipation Model
(Eelec * k) + (Emp*k*d4
) if d>d0
Eelec is the energy dissipated to run the
electronics circuit’s k is the packet size Efs and mp
are the characteristics of the transmitter amplifier d
is the distance between the two
communicating ends. Energy dissipation to receive a
k-bit message is given by- ER (k) = Eelec* k
The values of radio characteristics are: Eelec =50
nJ/bit
Efs = 10 pJ/bit/m2
Emp = 0.0013pJ/bit/m4
In addition to above energy expansions, a CH also
dissipates energy because of data aggregation. The
data aggregation energy EDA has the value of
5nJ/bit/signal.
3. F-MCHEL: FUZZY BASED MUSTER
CLUSTER HEAD ELECTION LEACH
PROTOCOL
In this section F-MCHEL(Fuzzy based Master Cluster
Head Election Leach protocol), a homogeneous energy
protocol ,has been introduced, which uses fuzzy if -
then rules to maximizing the lifetime of WSNs. F-
MCHEL is similar to the CHEF but it has the Master
cluster head election mechanism. Cluster heads
election process is similar to CHEF. In CHEF the
cluster head has been elected using the fuzzy
approach based on two input parameters namely,
Energy of the node and roximity distance. In CHEF
all the elected cluster heads are used to send the
aggregated information to Base station, whereas
in F-MCHEL one Master cluster head has been
elected out of these elected cluster heads. Cluster
head node which has the maximum residual energy
is elected as Master cluster head. After the
formation of clusters all non-Cluster heads nodes are
used to sends the information to the respective cluster
head.
All Cluster head will aggregate the information
IJRREST: International Journal of Research Review in Engineering Science and Technology (ISSN 2278- 6643) | Volume-2 Issue-1, March 2013
13 | P a g e
received from non-Cluster head nodes and they
send the aggregated information to Master Cluster
head. Master cluster head again aggregate the
information received from cluster heads and sends this
information to Base station. Like LEACH and
CHEF, the proposed protocol F-MCHEL also
assumes two phases at the beginning of each
round, one is the setup phase and other is the
steady state phase.
3.1 Proposed Approach
Two well known clustering algorithms are used in
association with a visualization interface to simulate
the possible the cluster network with optimized
energy consumption.
3.1.1 Subtractive Clustering
Assumes each node as a potential cluster head and
calculate the measure of the likelihood that each node
defines the cluster head, based on the density of
surrounding nodes. The algorithm has the following
features:
 Select the node with the highest potential to be the
first cluster head.
 Removes all nodes near to the first cluster head, in
order to determine the next node cluster and its
head location.
 Iterates this process until the entire nodes are
within radii of a cluster. Subtractive clustering
based algorithm is implemented using MATLAB
function. [C,S]= SUBCLUST (X, RADII,
XBOUNDS, OPTIONS).
 Matrix X contains data points.
 RADII are vector that specified a cluster head's
range of influence in each of the data dimensions.
 XBOUNDS is a 2xN matrix that specific how to
map the data in X into a unit hyper box.
 The returned vector C contains the position of a
cluster head.
 S contains the sigma values that specify the range
of influence of a cluster head in each of the data
dimension.
 Option is use for specifying clustering algorithm
parameter to over ride the default values.
3.2.2 FUZZY C-mean (FCM) Clustering
Fuzzy C-means (FCM) Algorithm was introduced by
Bezdek. The FCM based algorithm is a data
clustering technique wherein each data point belongs
to a cluster to some degree that is specified by a
membership grade. Pseudo code for fuzzy C-mean
based solution is as follows:
 Initialize the data points.
 For cluster unit 1 to number of nodes call fuzzy C-
mean algorithm. Assign attributes to the cluster
head. Calculate the energy loss according to
equation. End for all the nodes.
 Calculate the total energy loss. If total energy loss
is less then minimum total cost. Total energy loss
is the new minimum total energy. End for cluster
unit 1 to number of nodes.
3.2 Cluster head Election Using Fuzzy Logic
Parameters Experiment
No. of needs (n) 150
BS position 200,50
E0 (0-100)J
E elect 50 nj/bit
E emp 100pj/bit/m4
E fs 10 pj/bit/m2
E da 5 nj/bit/signal
NO. OF BITS(K) 200
4. SIMULATION RESULTS
Number of experiments has been carried out to
compare the three protocols LEACH, CHEF and F-
MCHEL with same network and parameter
settings. Simulation results on MATLAB depict
that F-MCHEL has better stability period and less
energy dissipation per round. Simulation results
shows that the Fuzzy logic systems, which can
manipulate the linguistic rules in a natural way, can
avoid the necessity of accurate representation of the
environment, which generally does not exist in
reality.
Network Settings we are using a 400*400 region
having 100 sensor nodes placed randomly. The
packet size is considered to be of 2000 bits. The
various parameter values taken for experiments are
shown in the Table 1.
Performance of the suggested protocol has been
measured on the basis of following parameters:
(i) Stability Period: Stability period is the period (or
round) up to which all nodes are alive. This period lies
between Rounds 1 to the round at which the first node
dies.
(ii) Instability period: Instability Period is the period
between the first dead node and last dead node. This
period should be kept as small as possible.
IJRREST: International Journal of Research Review in Engineering Science and Technology (ISSN 2278- 6643) | Volume-2 Issue-1, March 2013
14 | P a g e
(iii) Energy dissipation.
(iv) Number of packets transmitted to base station.
Table.1. Improvement of Stable Region
Table.2. Declination of Unstable Region
As compared to CHEF and LEACH, F-MCHEL
has an improvement over the stability period as shown
in the Fig below. As per the simulation results, the
first node dead in LEACH and CHEF are at 1132
and 1457 respectively whereas in F-MCHEL, the
first dead is at 1952 which shows an
improvement of (33.97%) over CHEF and (72%)
over LEACH. The result obtained has been shown
in Table 1 and Table 2. The instability period is
given by the time between first dead node and last
dead node. While calculating instability period,
we are considering only those rounds in which
some data is transferred to the BS.
Table.3. Simulated Results
All those rounds in which no data is transferred to
BS are not counted. It is clear from the graph that the
unstable region for F-MCHEL shows decline over
LEACH, however CHEF shows better unstable
region as compare to F-MCHEL.
5. CONCLUSION
Clustering is one of the most important approaches to
energy saving by keeping portion nodes active. There
are several advantage in LEACH protocol namely,
uneven distributed of energy among nodes, no cluster
head selection in any round etc. In this paper,
LEACH protocol was compared with the improved
clustering hierarchy scheme (DBS) and fuzzy logic
based approach.
6. REFERENCES
[1]W. Heinzelman, A chandrakasan and H.
Balakrishanan,"Energy efficient comn. protocol for
wireless micro sensor ntwork" in proc. of the 33rd
annual Hawaii International conference on system
science (HICSS), maui, HI Jan 2000, pp,3005-3014.
[2]C. Chee-yee and S.P. kumar ,"Sensor networks:
evolution, opportunities, and channges" in
proceedings of the IEEE, Aug.2003,pp.1247-1256.
[3]http://satandards.ieee.org/getieee802.
[4]IEEE, IEEE 802.15.4. Wireless medium access
control and physical layer (PHY) specification for
Low-rate wireless personal area network, 2003.
[5]A.Wang, A. Chandrakasan, "Energy efficient DSP
for wireless sensor network” IEEE signal processing
magazine, July 2002, app.68-78.
[6]T. Rappaport, wireless communications: principle
& practice, Englewood cliffs,NJ: Prentice-Hall, 1996.
[7]Jong-Myoung Kim, Seon-Ho Park, Young-Ju
Han, Tai-Myoung Chung,” CHEF: Cluster Head
Election mechanism using Fuzzy logic in
Wireless Sensor Networks “ICACT 2008,PP-654-
659, Feb 2008.
[8]Heizleman W., Chandrakasan A., and
Balakrishnan H., “Energy Efficient Communication
Protocol for Wireless Sensor Networks,” in
Proceedings of The 10th
IEEE/ACM International
Symposium on Modeling Analysis and Simulation of
Computer and Telecommunication Systems
(MASCOTS), San Francisco, pp. 20-27, 2002.
[9]Klues K., Xing G., and Lu C., “Towards a
Unified Radio Power Management Architecture for
Wireless Sensor Networks,” in Proceedings of
International Workshop on Wireless Sensor Network
Architecture (WWSNA'07), USA, pp. 55-60, 2007.
LEACH CHEF F-
MCHEL
Improvement
over LEACH
First
Node
Dies
1132 1457 1952 72%
LEACH CHEF F-MCHEL Impro-
ement
over
LEACH
Instability
Period =
Last node
dies -First
node dies
441 176 300 31%
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Sensor Energy Optimization Using Fuzzy Logic in Wireless Sensor Networking

  • 1. IJRREST: International Journal of Research Review in Engineering Science and Technology (ISSN 2278- 6643) | Volume-2 Issue-1, March 2013 11 | P a g e Sensor Energy Optimization Using Fuzzy Logic in Wireless Sensor Networking *Neeraj Kumar Mishra *Asst. Professor, R.D. Foundation Group of Institutions, Modinagar, Ghaziabad, U.P., India Abstract— Wireless sensor networks is challenging in that it requires an enormous breadth of knowledge from an enormous variety of disciplines. A lot of study has been done to minimize the energy used in routing and number of protocols has been developed. These protocols can be classified as - Hierarchical, data centric, location based and Network flow protocols. In this paper, we are particularly focusing on hierarchical protocols. In such types of protocols, the energy efficient clusters are formed with a hierarchy of cluster heads. Each cluster has its representative cluster head which is responsible for collecting and aggregating the data from its respective cluster and then transmitting this data to the Base Station either directly or through the hierarchy of other cluster heads. Fuzzy logic has been successfully applied in various areas including communication and has shown promising results. However, the potentials of fuzzy logic in wireless sensor networks still need to be explored. Optimization of wireless sensor networks involve various tradeoffs, for example, lower transmission power vs. longer transmission duration, multi-hop vs. direct communication, computation vs. communication etc. Fuzzy logic is well suited for application having conflicting requirements. Moreover, in WSN, as the energy metrics vary widely with the type of sensor node implementation platform, using fuzzy logic has the advantage of being easily adaptable to such changes. Keywords: WSN, LEACH, CHEF, FUZZY LOGIC, MULTIHOPE. 1. INTRODUCTION Micro sensor can contain hundreds or thousands of sensing nodes. It is desirable to make these nodes as cheap and energy efficient as possible and relay on their large numbers to obtain high quality result. Network protocol must be designed to achieve fault tolerance in the presence of individual node failure while minimizing energy consumption. The limited wireless channel bandwidth must be shared among all the sensors in the network routing protocol for these networks should be able to perform local collaboration to reduce bandwidth requirement. Sensing communication processing and battery units are the primary components of a sensor node. Individual sensors have the capacity to detect events occurring in their area of deployment. Reliable data transport is an important facet of dependability and quality of services in several applications of wireless sensor networks. Different application have different reliability requirement. 2. RELATED WORK A lot of study has been done to minimize the energy used in routing and number of protocols has been developed. These protocols can be classified as - Hierarchical, data centric, location based and Network flow protocols. In this paper, we are particularly focusing on hierarchical protocols. In such types of protocols, the energy efficient clusters are formed with a hierarchy of cluster heads. Each cluster has its representative cluster head which is responsible for collecting and aggregating the data from its respective cluster and then transmitting this data to the Base Station either directly or through the hierarchy of other cluster heads. The existing hierarchical protocols are: 2.1. LEACH (Low Energy Adaptive Clustering Hierarchy) LEACH is one of the most popular clustering algorithms. The main idea behind LEACH is to form clusters based upon the signal strength of the sensors. Some of the nodes are randomly chosen as the cluster heads(CH) and a node is assigned to the CH based upon the signal strength received by that node from the CH. CHs have to do a lot more work than the s, hence they dissipate a lot more energy and may die quickly. In order to maintain a stable network, CHs keep on rotating, in every round. So, a node which had become CH may not get an opportunity to become CH again before a set interval of time. A node can become the cluster head for the current round if its value is less
  • 2. IJRREST: International Journal of Research Review in Engineering Science and Technology (ISSN 2278- 6643) | Volume-2 Issue-1, March 2013 12 | P a g e than the threshold T (n) where T (n) is given by: P is the percentage of cluster heads, r is the rth round, and G is the set of nodes which are not cluster heads in the last 1/P rounds. Figure 1 show how clusters are formed in 400*400 regions in one round. Nodes having same symbol belong to the same cluster. The cluster heads are shown in red. Base Station (or sink) is situated at (50, 50) and is shown by X. Compared to direct communication, LEACH achieves 7 times more reduction in energy dissipation and about 4-8 times more reduction as compared to MTE routing protocol . A drawback of LEACH is that LEACH is a single hop routing. Each node transmits its data to either CH or BS directly. Moreover, for a network of larger regions, the dynamic clustering may become overhead since rotation of CH at every round and advertisements of CHs also dissipate energy. LEACH also gives no idea about the placement of nodes and the distribution of clusters is totally randomized. 2.2. LEACH-C protocol LEACH-C is a centralized clustering algorithm in which BS has the right to select the clusters based upon the 1-P*(r mod 1/p) annealing algorithm to find k optimal number of clusters. BS selects the CHs for a particular round. The protocol guarantees optimum clusters but has a drawback that each node sends information about its current location and residual energy to the sink during the set up phase which results in an extra overhead. 2.3. CHEF (Cluster-Head Election Mechanism using Fuzzy Logic) In CHEF chance has been calculated using Fuzzy if- then rules to elect the cluster head (CH). Two variables namely proximity distance and energy are considered as key parameters in calculating the chance. The fuzzy logic based approach allows the node with High energy and locally optimal node to elect as a cluster head. The CHEF is 22.7% more efficient than LEACH. In this paper, an effort has been done to compare the three protocols LEACH, CHEF and the proposed protocol F-MCHEL (Fuzzy based Master cluster head election protocol), based on the energy dissipation model shown in the figure 1. For a particular node, the energy is dissipated because of receiving and transmitting. The energy expanded in transmitter to transmit k-bit message is given by: ET(k,d) = (Eelec * k) + (Efs*k*d2 ) if d<=d0 Fig.1. Energy Dissipation Model (Eelec * k) + (Emp*k*d4 ) if d>d0 Eelec is the energy dissipated to run the electronics circuit’s k is the packet size Efs and mp are the characteristics of the transmitter amplifier d is the distance between the two communicating ends. Energy dissipation to receive a k-bit message is given by- ER (k) = Eelec* k The values of radio characteristics are: Eelec =50 nJ/bit Efs = 10 pJ/bit/m2 Emp = 0.0013pJ/bit/m4 In addition to above energy expansions, a CH also dissipates energy because of data aggregation. The data aggregation energy EDA has the value of 5nJ/bit/signal. 3. F-MCHEL: FUZZY BASED MUSTER CLUSTER HEAD ELECTION LEACH PROTOCOL In this section F-MCHEL(Fuzzy based Master Cluster Head Election Leach protocol), a homogeneous energy protocol ,has been introduced, which uses fuzzy if - then rules to maximizing the lifetime of WSNs. F- MCHEL is similar to the CHEF but it has the Master cluster head election mechanism. Cluster heads election process is similar to CHEF. In CHEF the cluster head has been elected using the fuzzy approach based on two input parameters namely, Energy of the node and roximity distance. In CHEF all the elected cluster heads are used to send the aggregated information to Base station, whereas in F-MCHEL one Master cluster head has been elected out of these elected cluster heads. Cluster head node which has the maximum residual energy is elected as Master cluster head. After the formation of clusters all non-Cluster heads nodes are used to sends the information to the respective cluster head. All Cluster head will aggregate the information
  • 3. IJRREST: International Journal of Research Review in Engineering Science and Technology (ISSN 2278- 6643) | Volume-2 Issue-1, March 2013 13 | P a g e received from non-Cluster head nodes and they send the aggregated information to Master Cluster head. Master cluster head again aggregate the information received from cluster heads and sends this information to Base station. Like LEACH and CHEF, the proposed protocol F-MCHEL also assumes two phases at the beginning of each round, one is the setup phase and other is the steady state phase. 3.1 Proposed Approach Two well known clustering algorithms are used in association with a visualization interface to simulate the possible the cluster network with optimized energy consumption. 3.1.1 Subtractive Clustering Assumes each node as a potential cluster head and calculate the measure of the likelihood that each node defines the cluster head, based on the density of surrounding nodes. The algorithm has the following features:  Select the node with the highest potential to be the first cluster head.  Removes all nodes near to the first cluster head, in order to determine the next node cluster and its head location.  Iterates this process until the entire nodes are within radii of a cluster. Subtractive clustering based algorithm is implemented using MATLAB function. [C,S]= SUBCLUST (X, RADII, XBOUNDS, OPTIONS).  Matrix X contains data points.  RADII are vector that specified a cluster head's range of influence in each of the data dimensions.  XBOUNDS is a 2xN matrix that specific how to map the data in X into a unit hyper box.  The returned vector C contains the position of a cluster head.  S contains the sigma values that specify the range of influence of a cluster head in each of the data dimension.  Option is use for specifying clustering algorithm parameter to over ride the default values. 3.2.2 FUZZY C-mean (FCM) Clustering Fuzzy C-means (FCM) Algorithm was introduced by Bezdek. The FCM based algorithm is a data clustering technique wherein each data point belongs to a cluster to some degree that is specified by a membership grade. Pseudo code for fuzzy C-mean based solution is as follows:  Initialize the data points.  For cluster unit 1 to number of nodes call fuzzy C- mean algorithm. Assign attributes to the cluster head. Calculate the energy loss according to equation. End for all the nodes.  Calculate the total energy loss. If total energy loss is less then minimum total cost. Total energy loss is the new minimum total energy. End for cluster unit 1 to number of nodes. 3.2 Cluster head Election Using Fuzzy Logic Parameters Experiment No. of needs (n) 150 BS position 200,50 E0 (0-100)J E elect 50 nj/bit E emp 100pj/bit/m4 E fs 10 pj/bit/m2 E da 5 nj/bit/signal NO. OF BITS(K) 200 4. SIMULATION RESULTS Number of experiments has been carried out to compare the three protocols LEACH, CHEF and F- MCHEL with same network and parameter settings. Simulation results on MATLAB depict that F-MCHEL has better stability period and less energy dissipation per round. Simulation results shows that the Fuzzy logic systems, which can manipulate the linguistic rules in a natural way, can avoid the necessity of accurate representation of the environment, which generally does not exist in reality. Network Settings we are using a 400*400 region having 100 sensor nodes placed randomly. The packet size is considered to be of 2000 bits. The various parameter values taken for experiments are shown in the Table 1. Performance of the suggested protocol has been measured on the basis of following parameters: (i) Stability Period: Stability period is the period (or round) up to which all nodes are alive. This period lies between Rounds 1 to the round at which the first node dies. (ii) Instability period: Instability Period is the period between the first dead node and last dead node. This period should be kept as small as possible.
  • 4. IJRREST: International Journal of Research Review in Engineering Science and Technology (ISSN 2278- 6643) | Volume-2 Issue-1, March 2013 14 | P a g e (iii) Energy dissipation. (iv) Number of packets transmitted to base station. Table.1. Improvement of Stable Region Table.2. Declination of Unstable Region As compared to CHEF and LEACH, F-MCHEL has an improvement over the stability period as shown in the Fig below. As per the simulation results, the first node dead in LEACH and CHEF are at 1132 and 1457 respectively whereas in F-MCHEL, the first dead is at 1952 which shows an improvement of (33.97%) over CHEF and (72%) over LEACH. The result obtained has been shown in Table 1 and Table 2. The instability period is given by the time between first dead node and last dead node. While calculating instability period, we are considering only those rounds in which some data is transferred to the BS. Table.3. Simulated Results All those rounds in which no data is transferred to BS are not counted. It is clear from the graph that the unstable region for F-MCHEL shows decline over LEACH, however CHEF shows better unstable region as compare to F-MCHEL. 5. CONCLUSION Clustering is one of the most important approaches to energy saving by keeping portion nodes active. There are several advantage in LEACH protocol namely, uneven distributed of energy among nodes, no cluster head selection in any round etc. In this paper, LEACH protocol was compared with the improved clustering hierarchy scheme (DBS) and fuzzy logic based approach. 6. REFERENCES [1]W. Heinzelman, A chandrakasan and H. Balakrishanan,"Energy efficient comn. protocol for wireless micro sensor ntwork" in proc. of the 33rd annual Hawaii International conference on system science (HICSS), maui, HI Jan 2000, pp,3005-3014. [2]C. Chee-yee and S.P. kumar ,"Sensor networks: evolution, opportunities, and channges" in proceedings of the IEEE, Aug.2003,pp.1247-1256. [3]http://satandards.ieee.org/getieee802. [4]IEEE, IEEE 802.15.4. Wireless medium access control and physical layer (PHY) specification for Low-rate wireless personal area network, 2003. [5]A.Wang, A. Chandrakasan, "Energy efficient DSP for wireless sensor network” IEEE signal processing magazine, July 2002, app.68-78. [6]T. Rappaport, wireless communications: principle & practice, Englewood cliffs,NJ: Prentice-Hall, 1996. [7]Jong-Myoung Kim, Seon-Ho Park, Young-Ju Han, Tai-Myoung Chung,” CHEF: Cluster Head Election mechanism using Fuzzy logic in Wireless Sensor Networks “ICACT 2008,PP-654- 659, Feb 2008. [8]Heizleman W., Chandrakasan A., and Balakrishnan H., “Energy Efficient Communication Protocol for Wireless Sensor Networks,” in Proceedings of The 10th IEEE/ACM International Symposium on Modeling Analysis and Simulation of Computer and Telecommunication Systems (MASCOTS), San Francisco, pp. 20-27, 2002. [9]Klues K., Xing G., and Lu C., “Towards a Unified Radio Power Management Architecture for Wireless Sensor Networks,” in Proceedings of International Workshop on Wireless Sensor Network Architecture (WWSNA'07), USA, pp. 55-60, 2007. LEACH CHEF F- MCHEL Improvement over LEACH First Node Dies 1132 1457 1952 72% LEACH CHEF F-MCHEL Impro- ement over LEACH Instability Period = Last node dies -First node dies 441 176 300 31%