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International Journal of Innovative Research in Information Security (IJIRIS) ISSN: 2349-7017(O)
Issue 03, Volume 3 (March 2016) ISSN: 2349-7009(P)
www.ijiris.com
_________________________________________________________________________________________________
IJIRIS- Impact Factor Value - Innospace SJIF: 3.365 (2015)
© 2014-16, IJIRIS- All Rights Reserved Page -5
An Energy–Efficient Heuristic based Routing Protocol in
Wireless Sensor Networks
Ahmed A. Alkadhmawee1
, Songfeng Lu2
, Imad S. AlShawi3
School of computer science and technology 1,2,3
Huazhong university, Wuhan Hubei, 1,2,3
China 1,2,3
Abstract— Energy consumption is the critical issue to determine the lifetime of Wireless sensor networks (WSNs), due
to limited batteries power resource of sensor nodes. The optimization of energy consumption is involves reduction of
energy consumption in order to prolong the lifetime of the network as much as possible. However, to minimize the
overall energy consumption of the sensor network, different types of routing protocols have been proposed. This paper
proposes an energy efficient routing protocol using the A-star search algorithm to find the optimal path from the
source node to the sink node. Simulation results with Matlab show that our proposed protocol is efficient in terms of
total energy consumption and network lifetime compared with fuzzy approach.
Keywords: Wireless sensors network (WSNs), Routing protocol, A-star algorithm
I. INTRODUCTION
Recent advances in wireless communications and micro-electro-mechanical systems (MEMS) have highlighted the
significance of wireless sensor networks (WSNs) as essential reporting devices[1]. A WSN is composed of hundreds or
even thousands of sensor nodes are densely deployed in a field of interest to monitor specific phenomena. The sensor
nodes can be engaged in a different of sensing tasks, such as humidity, light, vibration, sound, temperature etc[2]. These
sensors are very constrained in terms of communication bandwidth, limited computational, small memory and finite on-
board battery power. Due to the resource constrained characteristics of sensor nodes, energy-efficient data forwarding is
supposed to be a critical challenge in WSN. Moreover, the energy consumed for communication considered as the chief
sources of energy consumption in WSNs [3]. The energy consumed for communication and required transmission power
grows exponentially with the increase of transmission distance. Generally, the routing protocols utilized to select the best
paths between source and destination node in order to ensure balanced energy consumption and to maximize network
lifetime. Most of routing protocols are periodically choice the same optimal path to transmit the data packets to the sink
which impact on the WSNs lifetime [3-5]. As a result, the network will be partitioned and the network will not be able to
accomplish its intended critical function.
In order to solve the problem of network partition in WSNs, researchers have proposed a variety of methods. In [6],
the authors proposed a shortest path routing algorithm for extending the lifetime of the network depended on link costs
that reflect both the residual energy levels and the communication energy consumption rates. In [7], the authors presented
uniform balancing energy routing protocol to select the sensor nodes for routing path whose have remain energies greater
than a threshold value and distributed the energy load among any sensor nodes to maximize the whole network lifetime.
The authors in [8], proposed an Energy- Efficient Multi-path Routing Protocol (EEMRP). It has the capability of
searching multiple node-disjoint paths and utilizes a load balancing method to assign the traffic over each selected path.
Both the residual energy level of nodes and the number of hops are considered to be incorporated into the link cost
function. FML-MP (a fuzzy multi-path maximum lifespan routing scheme), an online multi-path routing scheme that
strives to achieve a good distribution of the traffic load is developed in [10]. The authors in [9] presented a novel
algorithm for routing analysis in WSNs utilizing fuzzy logic at each node to determine its capability to transfer data
based on its relative energy levels, distance and traffic load to maximize the lifetime of the sensor networks.
This paper propose an Energy-Efficient Heuristic Routing (EEHR) protocol using A-star heuristic search algorithm to
find an optimal forwarding path from the source node to the sink node when the energy level of sensor nodes is above the
threshold level .Otherwise, the our proposed method find another route path available to avoid the low energy sensor's in
order to prolong the lifetime of the WSN. The rest of this paper is organized as follows. Section 2, the proposed routing
method is presented. Performance evaluation is presented in Section 3. Finally, conclusion is presented in Section 4.
II. THE PROPOSED ENERGY-EFFICIENT HEURISTIC ROUTING (EEHR) PROTOCOL
In this paper, the network model utilized and the proposed EEHR protocol is presented in details.
A. network model
The proposed method assumes that WSN has following properties:-
International Journal of Innovative Research in Information Security (IJIRIS) ISSN: 2349-7017(O)
Issue 03, Volume 3 (March 2016) ISSN: 2349-7009(P)
www.ijiris.com
_________________________________________________________________________________________________
IJIRIS- Impact Factor Value - Innospace SJIF: 3.365 (2015)
© 2014-16, IJIRIS- All Rights Reserved Page -6
1) All sensor nodes are randomly distributed in the area
2) Every sensor node is assumed to know its own position as well as that of its neighbours and the sink.
3) All sensor nodes have the same maximum transmission range and the same amount of initial energy.
The lifetime of the network is one of the important measures of WSN. The proposed model is avoiding the low energy
sensor nodes from the routing path in order to prolong the lifetime of the WSNs. whenever the remaining energy value of
any sensor node is less than the threshold value, communication links between various sensor nodes and the base station
will break. Since the lifetime of each sensor node depends on energy consumption, it is important to preserve residual
energy of these nodes in such a way that overall network lifetime is extended.
B. EEHR protocol
By creates a tree structure, the A-star heuristic search algorithm utilized to find an optimal forwarding path from the
source node to the sink node. The tree node is explored based on its evaluation function f (n). Moreover, the proposed
method select the optimal path when the energy level of sensor nodes is above the threshold level .Otherwise, it's find
another route path available to avoid the low energy sensor's in order to prolong the lifetime of the WSN .The function
we used is given as:
f(n) = NC(n)+ 1/MH(n) (1)
Where NC (n) is the node cost of node n, which take the remaining energy value for node n and MH(n) is the distance
between the node n to the sink node. The flow chart of the proposed method is shown in fig 1.
Fig.1 Flow-chart of the EEHR Protocol
International Journal of Innovative Research in Information Security (IJIRIS) ISSN: 2349-7017(O)
Issue 03, Volume 3 (March 2016) ISSN: 2349-7009(P)
www.ijiris.com
_________________________________________________________________________________________________
IJIRIS- Impact Factor Value - Innospace SJIF: 3.365 (2015)
© 2014-16, IJIRIS- All Rights Reserved Page -7
III. PERFORMANCE EVALUATIONS
A. Simulation Setup.
The simulations are carried out in MATLAB. 100 sensor nodes are randomly deployed in a 100m×100m field with
sensed transmission limit of 40m. A data sink node is located at (90, 90). All sensor nodes have the same initial energy of
1 j. The proposed method uses the first order radio model that is largely used in the area of routing protocol evaluation in
WSN [11]. According to this model, transmission and receiving costs are characterized by the expressions
EnT(k)=Eelec*k+Eamp*k.d2And EnR(k)=Eelec* k, respectively .
where k is the number of bit per packet, d is the distance from the sender node to the receiver node, Eelec and Eamp
are per bit energy dissipation in transmitting or receiving circuitry and energy required per bit per meter square for the
amplifier to achieve acceptable signal to noise ratio (SNR) respectively. Simulations are done using the values 50nJ/bit
and 100pJ/bit/m2 for Eelec and Eamp, respectively. Table 1 presents the systems parameters in details.
TABLE 1 SIMULATION PARAMETERS FOR THE A-STAR PROTOCOL
PARAMETER VALUE
Topographical Area 100 m x 100 m
Sink location (meters) (90 , 90)
No. of nodes 100
Limit of transmission distance 40 m
Initial energy of node 1 J
Eelec 50 nJ/bit
Eamp 100 pJ/bit/m2
Packet data size 2k bit
No. of transmission packets 2x 104
B. SIMULATION RESULTS
To demonstrate the effectiveness of the proposed method in terms of maximizing network lifetime and balancing energy
consumption, the protocol is compared with Fuzzy approach used in [10]. The number of alive nodes as a function of
rounds by using different approaches is shown in Fig. 2.
Fig. 2: Number of alive nodes as a function of rounds.
The different duration of time corresponding to the first dead node computed using two different approaches is listed in
Table 2. From Fig.2 and Table 2, it is clear that, using the proposed method the lifetime of a WSN is longer than the
lifetimes of a WSN using fuzzy approach.
International Journal of Innovative Research in Information Security (IJIRIS) ISSN: 2349-7017(O)
Issue 03, Volume 3 (March 2016) ISSN: 2349-7009(P)
www.ijiris.com
_________________________________________________________________________________________________
IJIRIS- Impact Factor Value - Innospace SJIF: 3.365 (2015)
© 2014-16, IJIRIS- All Rights Reserved Page -8
TABLE 2 NUMBER OF ROUNDS WITH THE FIRST DEAD NODE FOR THE APPROACHES (FUZZY AND A-STAR)
Fig. 3 shows the average remaining energy of a WSN as a function of transmission rounds for the two approaches. As
the round number increases, the proposed method performs better than Fuzzy approach. This indicates that, better energy
balance in a WSN is achieved by the proposed method.
Figure 3: Average network remaining energy as a function of transmission round.
IV. CONCLUSION
This paper used A-star heuristic search algorithm to propose the EEHR protocol in order to find the optimal routing path.
EAHR protocol avoids the low-energy nodes and chooses another path in the network. Our routing degrades the chance
of network partition and extends the lifetime of the network. Simulation results demonstrate the effectiveness of the
proposed method with regards to enhancement the lifetime of WSNs when compared with Fuzzy approach.
ACKNOWLEDGMENT
The authors gratefully acknowledge the support from the National Natural Science Foundation of China under
(Grant No. 61173050).
REFERENCES
[1] Hongju Cheng, Zhihuang Su, Naixue Xiong, and Yang Xiao, “Energy-efficient node scheduling algorithms for
wireless sensor networks using Markov Random Field model ”Published by Elsevier Inc ,Information Sciences ,pp
539–550 , October 6, 2015.
[2] M. Z. A. Bhuiyan, G. Wang, J. Cao, and J. Wu, “Energy and bandwidth-efficient wireless sensor networks for
monitoring high-frequency events,” in Proc. 10th Annu. IEEE Commun. Soc. Conf. Sensor Mesh Ad Hoc Commun.
Networks (SECON), 2013.
[3] K. Akkaya and M. Younis, “A survey of routing protocols in wireless sensor networks,” Ad Hoc Netw., pp. 325–
349, May 2005.
[4] A. E. Abdulla, H. Nishiyama, J. Yang, N. Ansari, N. Kato, "Hymn: A novel hybrid multi-hop routing algorithm to
improve the longevity of wsns," Wireless Communications, IEEE Transactions on, vol. 11, pp. 2531-2541, 2012.
APPROACHES LIFETIME OF THE FIRST DEAD NODE (ROUNDS)
A-star 2407
Fuzzy approach 883
International Journal of Innovative Research in Information Security (IJIRIS) ISSN: 2349-7017(O)
Issue 03, Volume 3 (March 2016) ISSN: 2349-7009(P)
www.ijiris.com
_________________________________________________________________________________________________
IJIRIS- Impact Factor Value - Innospace SJIF: 3.365 (2015)
© 2014-16, IJIRIS- All Rights Reserved Page -9
[5] X. Mao, X. Miao, Y. He, T. Zhu, J. Wang, W. Dong, X. Li, and Y. Liu, “CitySee: Urban CO2 monitoring with
sensors,” in Proc. IEEE Conf. Comput. Commun. (INFOCOM), 2012, pp. 1026–1034.
[6] M. J. H. Chang and L. Tassiulas, “Maximum lifetime routing in wireless sensor networks,” IEEE/ACM Trans.
Netw., vol. 12, no. 4, pp. 609–619, Aug. 2004.
[7] O.Zytoune,M.El-aroussi,D.Aboutajdine."A uniform Balancing Energy Routing Protocol for Wireless Sensor
Networks"Wireless Pers. Commun., vol. 55, no. 2, pp.147-161, (Oct. 2010).
[8] Y.MLu,V.W.S Wong."An Engery –Efficient Multipath Routing Protocol for Wireless Sensor 64th IEEE
Veh.Tech.onf., pp. 1-5, (2006).
[9] S. Y. Chiang and J. L. Wang, “Routing analysis using fuzzy logic systems in wireless sensor networks,” Lecture
Notes Comput. Sci., vol. 5178, pp. 966–973, 2008.
[10] M. R. MINHAS, S. Gopalakrishnan and V. C. Leung. An online multipath routing algorithm for maximizing
lifetime in wireless sensor networks. IEEE Int. Conf. Inf. Technol.: New Gener. (ITNG), 2009: 581-586.
[11] W. R. Heinzelman, A. Chandrakasan, and H. Balakrishnan, “Energy efficient communication protocol for wireless
microsensor networks,” in Proc. 33rd Ann. Hawaii Int. Conf. Syst. Sci., 2000, pp. 1–10.

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An Energy–Efficient Heuristic based Routing Protocol in Wireless Sensor Networks

  • 1. International Journal of Innovative Research in Information Security (IJIRIS) ISSN: 2349-7017(O) Issue 03, Volume 3 (March 2016) ISSN: 2349-7009(P) www.ijiris.com _________________________________________________________________________________________________ IJIRIS- Impact Factor Value - Innospace SJIF: 3.365 (2015) © 2014-16, IJIRIS- All Rights Reserved Page -5 An Energy–Efficient Heuristic based Routing Protocol in Wireless Sensor Networks Ahmed A. Alkadhmawee1 , Songfeng Lu2 , Imad S. AlShawi3 School of computer science and technology 1,2,3 Huazhong university, Wuhan Hubei, 1,2,3 China 1,2,3 Abstract— Energy consumption is the critical issue to determine the lifetime of Wireless sensor networks (WSNs), due to limited batteries power resource of sensor nodes. The optimization of energy consumption is involves reduction of energy consumption in order to prolong the lifetime of the network as much as possible. However, to minimize the overall energy consumption of the sensor network, different types of routing protocols have been proposed. This paper proposes an energy efficient routing protocol using the A-star search algorithm to find the optimal path from the source node to the sink node. Simulation results with Matlab show that our proposed protocol is efficient in terms of total energy consumption and network lifetime compared with fuzzy approach. Keywords: Wireless sensors network (WSNs), Routing protocol, A-star algorithm I. INTRODUCTION Recent advances in wireless communications and micro-electro-mechanical systems (MEMS) have highlighted the significance of wireless sensor networks (WSNs) as essential reporting devices[1]. A WSN is composed of hundreds or even thousands of sensor nodes are densely deployed in a field of interest to monitor specific phenomena. The sensor nodes can be engaged in a different of sensing tasks, such as humidity, light, vibration, sound, temperature etc[2]. These sensors are very constrained in terms of communication bandwidth, limited computational, small memory and finite on- board battery power. Due to the resource constrained characteristics of sensor nodes, energy-efficient data forwarding is supposed to be a critical challenge in WSN. Moreover, the energy consumed for communication considered as the chief sources of energy consumption in WSNs [3]. The energy consumed for communication and required transmission power grows exponentially with the increase of transmission distance. Generally, the routing protocols utilized to select the best paths between source and destination node in order to ensure balanced energy consumption and to maximize network lifetime. Most of routing protocols are periodically choice the same optimal path to transmit the data packets to the sink which impact on the WSNs lifetime [3-5]. As a result, the network will be partitioned and the network will not be able to accomplish its intended critical function. In order to solve the problem of network partition in WSNs, researchers have proposed a variety of methods. In [6], the authors proposed a shortest path routing algorithm for extending the lifetime of the network depended on link costs that reflect both the residual energy levels and the communication energy consumption rates. In [7], the authors presented uniform balancing energy routing protocol to select the sensor nodes for routing path whose have remain energies greater than a threshold value and distributed the energy load among any sensor nodes to maximize the whole network lifetime. The authors in [8], proposed an Energy- Efficient Multi-path Routing Protocol (EEMRP). It has the capability of searching multiple node-disjoint paths and utilizes a load balancing method to assign the traffic over each selected path. Both the residual energy level of nodes and the number of hops are considered to be incorporated into the link cost function. FML-MP (a fuzzy multi-path maximum lifespan routing scheme), an online multi-path routing scheme that strives to achieve a good distribution of the traffic load is developed in [10]. The authors in [9] presented a novel algorithm for routing analysis in WSNs utilizing fuzzy logic at each node to determine its capability to transfer data based on its relative energy levels, distance and traffic load to maximize the lifetime of the sensor networks. This paper propose an Energy-Efficient Heuristic Routing (EEHR) protocol using A-star heuristic search algorithm to find an optimal forwarding path from the source node to the sink node when the energy level of sensor nodes is above the threshold level .Otherwise, the our proposed method find another route path available to avoid the low energy sensor's in order to prolong the lifetime of the WSN. The rest of this paper is organized as follows. Section 2, the proposed routing method is presented. Performance evaluation is presented in Section 3. Finally, conclusion is presented in Section 4. II. THE PROPOSED ENERGY-EFFICIENT HEURISTIC ROUTING (EEHR) PROTOCOL In this paper, the network model utilized and the proposed EEHR protocol is presented in details. A. network model The proposed method assumes that WSN has following properties:-
  • 2. International Journal of Innovative Research in Information Security (IJIRIS) ISSN: 2349-7017(O) Issue 03, Volume 3 (March 2016) ISSN: 2349-7009(P) www.ijiris.com _________________________________________________________________________________________________ IJIRIS- Impact Factor Value - Innospace SJIF: 3.365 (2015) © 2014-16, IJIRIS- All Rights Reserved Page -6 1) All sensor nodes are randomly distributed in the area 2) Every sensor node is assumed to know its own position as well as that of its neighbours and the sink. 3) All sensor nodes have the same maximum transmission range and the same amount of initial energy. The lifetime of the network is one of the important measures of WSN. The proposed model is avoiding the low energy sensor nodes from the routing path in order to prolong the lifetime of the WSNs. whenever the remaining energy value of any sensor node is less than the threshold value, communication links between various sensor nodes and the base station will break. Since the lifetime of each sensor node depends on energy consumption, it is important to preserve residual energy of these nodes in such a way that overall network lifetime is extended. B. EEHR protocol By creates a tree structure, the A-star heuristic search algorithm utilized to find an optimal forwarding path from the source node to the sink node. The tree node is explored based on its evaluation function f (n). Moreover, the proposed method select the optimal path when the energy level of sensor nodes is above the threshold level .Otherwise, it's find another route path available to avoid the low energy sensor's in order to prolong the lifetime of the WSN .The function we used is given as: f(n) = NC(n)+ 1/MH(n) (1) Where NC (n) is the node cost of node n, which take the remaining energy value for node n and MH(n) is the distance between the node n to the sink node. The flow chart of the proposed method is shown in fig 1. Fig.1 Flow-chart of the EEHR Protocol
  • 3. International Journal of Innovative Research in Information Security (IJIRIS) ISSN: 2349-7017(O) Issue 03, Volume 3 (March 2016) ISSN: 2349-7009(P) www.ijiris.com _________________________________________________________________________________________________ IJIRIS- Impact Factor Value - Innospace SJIF: 3.365 (2015) © 2014-16, IJIRIS- All Rights Reserved Page -7 III. PERFORMANCE EVALUATIONS A. Simulation Setup. The simulations are carried out in MATLAB. 100 sensor nodes are randomly deployed in a 100m×100m field with sensed transmission limit of 40m. A data sink node is located at (90, 90). All sensor nodes have the same initial energy of 1 j. The proposed method uses the first order radio model that is largely used in the area of routing protocol evaluation in WSN [11]. According to this model, transmission and receiving costs are characterized by the expressions EnT(k)=Eelec*k+Eamp*k.d2And EnR(k)=Eelec* k, respectively . where k is the number of bit per packet, d is the distance from the sender node to the receiver node, Eelec and Eamp are per bit energy dissipation in transmitting or receiving circuitry and energy required per bit per meter square for the amplifier to achieve acceptable signal to noise ratio (SNR) respectively. Simulations are done using the values 50nJ/bit and 100pJ/bit/m2 for Eelec and Eamp, respectively. Table 1 presents the systems parameters in details. TABLE 1 SIMULATION PARAMETERS FOR THE A-STAR PROTOCOL PARAMETER VALUE Topographical Area 100 m x 100 m Sink location (meters) (90 , 90) No. of nodes 100 Limit of transmission distance 40 m Initial energy of node 1 J Eelec 50 nJ/bit Eamp 100 pJ/bit/m2 Packet data size 2k bit No. of transmission packets 2x 104 B. SIMULATION RESULTS To demonstrate the effectiveness of the proposed method in terms of maximizing network lifetime and balancing energy consumption, the protocol is compared with Fuzzy approach used in [10]. The number of alive nodes as a function of rounds by using different approaches is shown in Fig. 2. Fig. 2: Number of alive nodes as a function of rounds. The different duration of time corresponding to the first dead node computed using two different approaches is listed in Table 2. From Fig.2 and Table 2, it is clear that, using the proposed method the lifetime of a WSN is longer than the lifetimes of a WSN using fuzzy approach.
  • 4. International Journal of Innovative Research in Information Security (IJIRIS) ISSN: 2349-7017(O) Issue 03, Volume 3 (March 2016) ISSN: 2349-7009(P) www.ijiris.com _________________________________________________________________________________________________ IJIRIS- Impact Factor Value - Innospace SJIF: 3.365 (2015) © 2014-16, IJIRIS- All Rights Reserved Page -8 TABLE 2 NUMBER OF ROUNDS WITH THE FIRST DEAD NODE FOR THE APPROACHES (FUZZY AND A-STAR) Fig. 3 shows the average remaining energy of a WSN as a function of transmission rounds for the two approaches. As the round number increases, the proposed method performs better than Fuzzy approach. This indicates that, better energy balance in a WSN is achieved by the proposed method. Figure 3: Average network remaining energy as a function of transmission round. IV. CONCLUSION This paper used A-star heuristic search algorithm to propose the EEHR protocol in order to find the optimal routing path. EAHR protocol avoids the low-energy nodes and chooses another path in the network. Our routing degrades the chance of network partition and extends the lifetime of the network. Simulation results demonstrate the effectiveness of the proposed method with regards to enhancement the lifetime of WSNs when compared with Fuzzy approach. ACKNOWLEDGMENT The authors gratefully acknowledge the support from the National Natural Science Foundation of China under (Grant No. 61173050). REFERENCES [1] Hongju Cheng, Zhihuang Su, Naixue Xiong, and Yang Xiao, “Energy-efficient node scheduling algorithms for wireless sensor networks using Markov Random Field model ”Published by Elsevier Inc ,Information Sciences ,pp 539–550 , October 6, 2015. [2] M. Z. A. Bhuiyan, G. Wang, J. Cao, and J. Wu, “Energy and bandwidth-efficient wireless sensor networks for monitoring high-frequency events,” in Proc. 10th Annu. IEEE Commun. Soc. Conf. Sensor Mesh Ad Hoc Commun. Networks (SECON), 2013. [3] K. Akkaya and M. Younis, “A survey of routing protocols in wireless sensor networks,” Ad Hoc Netw., pp. 325– 349, May 2005. [4] A. E. Abdulla, H. Nishiyama, J. Yang, N. Ansari, N. Kato, "Hymn: A novel hybrid multi-hop routing algorithm to improve the longevity of wsns," Wireless Communications, IEEE Transactions on, vol. 11, pp. 2531-2541, 2012. APPROACHES LIFETIME OF THE FIRST DEAD NODE (ROUNDS) A-star 2407 Fuzzy approach 883
  • 5. International Journal of Innovative Research in Information Security (IJIRIS) ISSN: 2349-7017(O) Issue 03, Volume 3 (March 2016) ISSN: 2349-7009(P) www.ijiris.com _________________________________________________________________________________________________ IJIRIS- Impact Factor Value - Innospace SJIF: 3.365 (2015) © 2014-16, IJIRIS- All Rights Reserved Page -9 [5] X. Mao, X. Miao, Y. He, T. Zhu, J. Wang, W. Dong, X. Li, and Y. Liu, “CitySee: Urban CO2 monitoring with sensors,” in Proc. IEEE Conf. Comput. Commun. (INFOCOM), 2012, pp. 1026–1034. [6] M. J. H. Chang and L. Tassiulas, “Maximum lifetime routing in wireless sensor networks,” IEEE/ACM Trans. Netw., vol. 12, no. 4, pp. 609–619, Aug. 2004. [7] O.Zytoune,M.El-aroussi,D.Aboutajdine."A uniform Balancing Energy Routing Protocol for Wireless Sensor Networks"Wireless Pers. Commun., vol. 55, no. 2, pp.147-161, (Oct. 2010). [8] Y.MLu,V.W.S Wong."An Engery –Efficient Multipath Routing Protocol for Wireless Sensor 64th IEEE Veh.Tech.onf., pp. 1-5, (2006). [9] S. Y. Chiang and J. L. Wang, “Routing analysis using fuzzy logic systems in wireless sensor networks,” Lecture Notes Comput. Sci., vol. 5178, pp. 966–973, 2008. [10] M. R. MINHAS, S. Gopalakrishnan and V. C. Leung. An online multipath routing algorithm for maximizing lifetime in wireless sensor networks. IEEE Int. Conf. Inf. Technol.: New Gener. (ITNG), 2009: 581-586. [11] W. R. Heinzelman, A. Chandrakasan, and H. Balakrishnan, “Energy efficient communication protocol for wireless microsensor networks,” in Proc. 33rd Ann. Hawaii Int. Conf. Syst. Sci., 2000, pp. 1–10.