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IOSR Journal of Electronics and Communication Engineering (IOSR-JECE)
e-ISSN: 2278-2834,p- ISSN: 2278-8735.Volume 10, Issue 2, Ver. II (Mar - Apr.2015), PP 63-67
www.iosrjournals.org
DOI: 10.9790/2834-10226367 www.iosrjournals.org 63 | Page
Finding an Optimum Transmission Range in a multi-sink
Wireless sensor network to make a tradeoff between delay and
energy consumption
Bharti sharma1 and Kaushik Ghosh2
1,2Department of Computer Science & Engineering, Mody university Lakshmangarh, Rajasthan, India
Abstract: Increasing the lifetime in wireless sensor networks is a major challenge because the nodes are
equipped with low power batteries. The effective way to increase the energy efficiency is to reduce the
transmission overheads and to choose accurate routing technique for data transmission. When two
communicating nodes are not in range of each other in wireless Sensor networks, they need to rely on multi-hop
transmissions. In such a case, packet forwarding or packet routing, becomes imperative. The selected value of
radio transmission range considerably affects network topology and node energy consumption. On the one
hand, a large transmission range increases the distance progress of data packets toward their final destinations.
This is unfortunately achieved at the expense of high energy consumption per transmission. On the other hand,
a short transmission range uses less energy to forward packets to the next hop, but a large number of hops are
required for packets to reach their destinations. Thus, there exists an optimum value of the radio transmission
range. In this paper we have studied the effect of certain factor such as source selection, node deployment,
transmission range, number of intermediate hops and forwarding techniques to make a tradeoff between Delay
and Energy Consumption
Keywords: Lifetime, Energy Efficiency, Transmission range, energy consumption, intermediate hops.
I. Introduction
Wireless Sensor Networks (WSN's) have attracted a great deal of research attention due to the wide-
range of potential applications. Applications of WSNs include battlefield surveillance, biological detection,
medical monitoring, home security and inventory tracking [2]. This type of Network consists of a group of
nodes and each node has limited battery power. There may be many possible routes available between two
nodes over which data can flow. Any node in the network can easily transmit their data packet to a distance
node if it has enough battery power. If any node is far from its neighbour node then large amount of
transmission energy is required to transmit the data to Destination node. After every transmission, remaining
energy of this node decreases and some amount of data transmission this node will be eliminated from the
network because of empty battery power and in similar situation there will be a condition that no node is
available for data transmission and overall lifetime of network will decreases [4]. One of the most important
performance measures for wireless sensor networks is network lifetime. Whereas network lifetime is defined as
the time until all nodes are able to send or receive data. For maximizing the network lifetime, data should be
routed such that energy expenditure is fair among the nodes in proportion to their energy reserved, instead of
routing the data to a path that Minimize consumed power [5].
The main component of energy consumption in a wireless sensor network is the energy consumed for
transmitting. This transmitting energy consumption increases exponentially with the transmitting distance [7] so
it might appear that more the transmitting radius of a node more is the energy consumption and thereby lesser
the lifetime of a network. But the flip side of having more transmitting radius is having more number of
neighbours we choose for packet forwarding. So it becomes important to choose an optimum transmitting radius
for nodes to enhance the life time of multi-sink wireless sensor network.
In section 2 of this paper, we discuss some of the existing routing protocols. In section 3 the proposed
scheme to show the energy consumption and number of intermediate hops variations according to different
parameters have been described. Section 4 consists of the experimental results and in section 5 follows the
conclusions thus drawn.
II. Related Works
In wireless sensor network, data transmission is very expensive in terms of energy consumption, while
data processing consumes significantly lesser energy [1]. The energy cost of transmitting a single bit of the
information is approximately the same as that needed for processing a thousand operations in typical sensor
node [2]. The communication subsystem has much higher energy requirement than the computation subsystem.
Most of the earlier works on energy efficient routing in wireless sensor network uses the Minimum total energy
Finding an Optimum Transmission Range in a multi-sink Wireless sensor network to make a ….
DOI: 10.9790/2834-10226367 www.iosrjournals.org 64 | Page
(MTE) routing for data transmission approach to minimize the energy consumption to reach the destination.
This was done by sending the traffic through same path for consecutive transmissions. But if all the traffic
follows the same path then all the nodes of that path will deplete their energy quickly [3].
Effect of a transmission radius, number of nodes and the transmission area in the lifetime of a wireless
sensor network has been discussed in[4].It was seen that lifetime increases with an increase in number of nodes
and transmission area and decreases with an increase in transmission range of sensor nodes. In [5], the optimal
transmission radii1 that maximizes the expected packet progress in the desired direction were determined for
different transmission protocols in a multi-hop packet radio network with randomly distributed terminals. The
optimal transmission radii were expressed in terms of the number of terminals in the range.
In [6], Multiple Sink Dynamic Destination Geographic Routing (MSDDGR) is proposed. It is based on
greedy forwarding scheme. When a packet needs to be sent the sender selects the nearest sink as the current
destination. Also, if the intermediate node sees that another sink is nearer to it, then the current destination node
is changed and the new sink node is selected as the destination
The optimization of transmission range as a system design issue was studied in [7]. The wireless
network was assumed to have high node density and to consist of nodes with relatively low mobility and short
transmission range. As justified by the assumption of high node density, the authors further assumed that
intermediate routing nodes are always available at the desired location whenever they are needed. Considering
the nodes without power control capability, the authors argued that the optimal transmission range can be set at
the system design stage. Specifically, they showed that the optimal one-hop transmission progressive distance is
independent of the physical network topology, the number of transmission sources, and the total transmission
distance; and that it only depends on the propagation environment and radio transceiver device parameters.
A similar assumption was made in [8], even though the node density was only considered for the
energy consumption of overhearing nodes. They investigated the problem of selecting an energy-efficient
transmission power to minimize global energy consumption for ad hoc networks. They concluded that the
average neighbourhood size is a useful parameter in finding the optimal balance point. Effect of network
lifetime on forwarding technique selection has been discussed by Ghosh and Das [13]. In [15], a protocol called
MRMS (Multipath Routing in large scale Sensor networks with Multiple Sink nodes) is proposed which
incorporates multiple sink nodes. In MRMS, a primary path is created with minimum path cost. It also saves the
other paths from different Sinks. Thus, when the primary path is not reachable or if the residual energy of the
sensors along the path falls below a certain threshold, another path is selected.
III. Present work
Transmission range, number of intermediate hops, size of the coverage area and data forwarding
techniques are the crucial factors in calculating the energy consumption of WSNs. A comparable study of
different forwarding techniques is present in [4 ]. The source nodes or intermediate nodes select a next node to
forward the data to the destination based on different criteria, the process repeats until data reaches the
destination. In the greedy forwarding technique, neighbour node nearer to the sink is chosen considering its
distance from sink node as a criterion. In the residual energy based forwarding technique, remaining energy of
the neighbouring nodes is used as a criterion to select the next node. We have used these two forwarding
techniques here for finding an optimum transmission range to enhance network lifetime.
The nodes were deployed in a grid fashion as shown in Figure 1.
Finding an Optimum Transmission Range in a multi-sink Wireless sensor network to make a ….
DOI: 10.9790/2834-10226367 www.iosrjournals.org 65 | Page
NOTE: The (*) marked fields shows the default values. These values have been changed as per the experimental
needs.
The radio model proposed in [17] has been used here.
ETX (m, d) =m*E+m* ε * d2
ERX (m) =m*E
Where
E=50nJ/bit and ε = 10 pJ/bit/ m2.
ETX= Energy Consumed for transmission
ERX=Energy Consumed for reception
d= Distance between transmitting and receiving node
ε= Permittivity of free space
m=number of bits
IV. Performance Evaluation and discussion
Before measuring the energy consumption in a WSN, one must decide a particular forwarding
technique for transmission and receiving data packet. In our case, we are using greedy forwarding and residual
energy based forwarding. Figure 1 show the deployment pattern formed when the location of nodes is taken in a
grid fashion and the source node is selected randomly.
Fig.1 Pseudo-random deployment with 387 nodes in an area of 250 x 250. Node 111selected as Source node and
Node 1, 2, 3 are Sink nodes.
4.1 Transmission Range vs. Energy Consumption
Fig.2 Energy consumption variation with increase Fig.3 Energy Consumption variation with increase
Transmission Transmission Range by using greedy forwarding technique. Range by using residual energy
based forwarding.
In Fig.3 and fig, 4 shows an increment in the total energy consumption of the network with increase the
transmission range of nodes within a fixed coverage area by using greedy forwarding and residual energy based
forwarding respectively. The total energy Consumption in the WSN is directly proportional to the transmission
Finding an Optimum Transmission Range in a multi-sink Wireless sensor network to make a ….
DOI: 10.9790/2834-10226367 www.iosrjournals.org 66 | Page
range while using greedy forwarding technique. Whereas, for residual energy based forwarding, we see a
parabolic nature of the graph, when total energy consumption is plotted against increased transmission range.
4.2 transmission ranges vs. No. of intermediate nodes
Fig.4 No. of intermediate hops variation with increase Fig.5 No. of intermediate hops variation
with increase
Transmission Range by using greedy forwarding technique. Transmission Range by using residual
energy based forwarding
The figure 5 and 6 shows the effect of transmission range on the total number of intermediate hops of a
WSN by using greedy forwarding and residual energy based forwarding respectively within a fixed coverage
area. As we increase the transmission range the Number of intermediate hops of the sensor node decreases. By
total number of intermediate hops we mean, the cumulative number of hops every packet encounters throughout
the lifetime of the network.
4.3 optimum transmission ranges
Fig.6 optimum transmission Range by using greedy Fig.7optimum Transmission range by using
residual energy based
Forwarding Technique forwarding
Now, to find out the optimum transmission range, we plot both graphs in together to get a crossover point . We
propose this crossover point to be the optimum transmission range.
In figure 6 we can see the optimum transmission range is 50 using greedy forwarding.
Same comparison for residual energy based forwarding. In figure 7 shows that range 50 is also an optimum
range for residual energy based forwarding.
Hence, we can say range 50 is an optimum range of both forwarding techniques.
V. Conclusion and future work
The experimental result shows that the transmission range, number of intermediate nodes and the
transmission area have a direct effect on the lifetime of a WSN. Our experimental result shows a direct relation
Finding an Optimum Transmission Range in a multi-sink Wireless sensor network to make a ….
DOI: 10.9790/2834-10226367 www.iosrjournals.org 67 | Page
to the energy consumption and transmission range while an inverse relation to the transmission range and
number of intermediates hops of the sensor nodes. Energy consumption increase with increases transmission
range and number of intermediate nodes decreases with increase transmission ranges. The future work may
involve the effect of various parameters on lifetime of WSN and will propose a protocol that enhance the
lifetime of a WSN.
References
[1]. V. Raghunathan, C. Schurghers& M. Srivastava, (2002) "Energy-aware Wireless Micro sensor Networks", IEEE Communication
Magazine, pp. 40-50.
[2]. G. Pottie, W. Kaiser, (2000) "Wireless Integrated Network Sensors, Communication of ACM", Vol. 43, no. 5, pp. 51-58.
[3]. Singh, Woo &Raghavendra, (1998) Power-aware routing in mobile ad hoc networks, 4th Annual IEEE/ACM Int. Conf. Mobile
Computing and Networking, pp. 181–190, Dallas, TX .
[4]. Jyoti Kaurav and Kaushik Ghosh "Effect of Transmitting Radius, Coverage Area and Node Density on the Lifetime of a Wireless
Sensor Network" Department of Computer Science & Engineering, Mody University 2012.
[5]. I. Dietrich and F. Dressler, “On the Lifetime of Wireless Sensor Networks,” ACM Transactions on Sensor Networks (TOSN), vol.
5, no. 1, pp. 1–39, February 2009.
[6]. R. Ramanathan and R. Rosales-Hain, "Topology control of multihop wireless networks using transmit power adjustment," in Proc.
IEEE INFOCOM, Mar. 2000, pp. 404–413.
[7]. H. Takagi and L. Kleinrock, "Optimal transmission ranges for randomly distributed packet radio terminals," IEEE Trans. Commun.,
vol. COM-32,no. 3, pp. 246–257, Mar. 1984.
[8]. T.-C. Hou and V. O. K. Li, "Transmission range control in multihop packet radio networks," IEEE Trans. Commun., vol. COM-34,
no. 1, pp. 38–44, Jan. 1986.
[9]. L. Cao, C. Xu, W. Shao, Multiple Sink Dynamic Destination Geographic Routing in Wireless Sensor Networks, in Procs. of the
International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery (CyberC), Huangshan, 2010.
[10]. V. Rodoplu and T. H. Meng, "Minimum energy mobile wireless networks,"IEEE J. Sel. Areas Commun., vol. 17, no. 8, pp. 1333–
1344, Aug. 1999.
[11]. P. Chen, B. O'Dea, and E. Callaway, "Energy efficient system design with optimum transmission range for wireless ad hoc
networks," in Proc. IEEE ICC, 2002, pp. 945–952.
[12]. Y. Chen, E. G. Sirer, and S. B. Wicker, "On selection of optimal transmission power for ad hoc networks," in Proc. 36th Hawaii Int.
Conf. Syst. Sci., Jan. 2003, pp. 300–309.
[13]. Y. Chen, E. Chan, S. Han, Energy-Efficient Multipath Routing in Large Scale Sensor Networks with Multiple Sink Nodes, in Procs.
of APPT, 2005, 390-399.
[14]. Ghosh, K., Das, P.K.: Effect of forwarding strategy on the lifetime of multi-hop multi-sink sensor network.In: Third International
Conference on Trends in Information, Telecommunication, and Computing, vol. 150.LNEE (2013).
[15]. K.N. Chairman, M. Younus, M.Y. Javed, NSN based Multi-Sink Minimum Delay Energy Efficient Routing in Wireless Sensor
Networks, European Journal of Scientific Research, 41, 2010, 399-411.

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M010226367

  • 1. IOSR Journal of Electronics and Communication Engineering (IOSR-JECE) e-ISSN: 2278-2834,p- ISSN: 2278-8735.Volume 10, Issue 2, Ver. II (Mar - Apr.2015), PP 63-67 www.iosrjournals.org DOI: 10.9790/2834-10226367 www.iosrjournals.org 63 | Page Finding an Optimum Transmission Range in a multi-sink Wireless sensor network to make a tradeoff between delay and energy consumption Bharti sharma1 and Kaushik Ghosh2 1,2Department of Computer Science & Engineering, Mody university Lakshmangarh, Rajasthan, India Abstract: Increasing the lifetime in wireless sensor networks is a major challenge because the nodes are equipped with low power batteries. The effective way to increase the energy efficiency is to reduce the transmission overheads and to choose accurate routing technique for data transmission. When two communicating nodes are not in range of each other in wireless Sensor networks, they need to rely on multi-hop transmissions. In such a case, packet forwarding or packet routing, becomes imperative. The selected value of radio transmission range considerably affects network topology and node energy consumption. On the one hand, a large transmission range increases the distance progress of data packets toward their final destinations. This is unfortunately achieved at the expense of high energy consumption per transmission. On the other hand, a short transmission range uses less energy to forward packets to the next hop, but a large number of hops are required for packets to reach their destinations. Thus, there exists an optimum value of the radio transmission range. In this paper we have studied the effect of certain factor such as source selection, node deployment, transmission range, number of intermediate hops and forwarding techniques to make a tradeoff between Delay and Energy Consumption Keywords: Lifetime, Energy Efficiency, Transmission range, energy consumption, intermediate hops. I. Introduction Wireless Sensor Networks (WSN's) have attracted a great deal of research attention due to the wide- range of potential applications. Applications of WSNs include battlefield surveillance, biological detection, medical monitoring, home security and inventory tracking [2]. This type of Network consists of a group of nodes and each node has limited battery power. There may be many possible routes available between two nodes over which data can flow. Any node in the network can easily transmit their data packet to a distance node if it has enough battery power. If any node is far from its neighbour node then large amount of transmission energy is required to transmit the data to Destination node. After every transmission, remaining energy of this node decreases and some amount of data transmission this node will be eliminated from the network because of empty battery power and in similar situation there will be a condition that no node is available for data transmission and overall lifetime of network will decreases [4]. One of the most important performance measures for wireless sensor networks is network lifetime. Whereas network lifetime is defined as the time until all nodes are able to send or receive data. For maximizing the network lifetime, data should be routed such that energy expenditure is fair among the nodes in proportion to their energy reserved, instead of routing the data to a path that Minimize consumed power [5]. The main component of energy consumption in a wireless sensor network is the energy consumed for transmitting. This transmitting energy consumption increases exponentially with the transmitting distance [7] so it might appear that more the transmitting radius of a node more is the energy consumption and thereby lesser the lifetime of a network. But the flip side of having more transmitting radius is having more number of neighbours we choose for packet forwarding. So it becomes important to choose an optimum transmitting radius for nodes to enhance the life time of multi-sink wireless sensor network. In section 2 of this paper, we discuss some of the existing routing protocols. In section 3 the proposed scheme to show the energy consumption and number of intermediate hops variations according to different parameters have been described. Section 4 consists of the experimental results and in section 5 follows the conclusions thus drawn. II. Related Works In wireless sensor network, data transmission is very expensive in terms of energy consumption, while data processing consumes significantly lesser energy [1]. The energy cost of transmitting a single bit of the information is approximately the same as that needed for processing a thousand operations in typical sensor node [2]. The communication subsystem has much higher energy requirement than the computation subsystem. Most of the earlier works on energy efficient routing in wireless sensor network uses the Minimum total energy
  • 2. Finding an Optimum Transmission Range in a multi-sink Wireless sensor network to make a …. DOI: 10.9790/2834-10226367 www.iosrjournals.org 64 | Page (MTE) routing for data transmission approach to minimize the energy consumption to reach the destination. This was done by sending the traffic through same path for consecutive transmissions. But if all the traffic follows the same path then all the nodes of that path will deplete their energy quickly [3]. Effect of a transmission radius, number of nodes and the transmission area in the lifetime of a wireless sensor network has been discussed in[4].It was seen that lifetime increases with an increase in number of nodes and transmission area and decreases with an increase in transmission range of sensor nodes. In [5], the optimal transmission radii1 that maximizes the expected packet progress in the desired direction were determined for different transmission protocols in a multi-hop packet radio network with randomly distributed terminals. The optimal transmission radii were expressed in terms of the number of terminals in the range. In [6], Multiple Sink Dynamic Destination Geographic Routing (MSDDGR) is proposed. It is based on greedy forwarding scheme. When a packet needs to be sent the sender selects the nearest sink as the current destination. Also, if the intermediate node sees that another sink is nearer to it, then the current destination node is changed and the new sink node is selected as the destination The optimization of transmission range as a system design issue was studied in [7]. The wireless network was assumed to have high node density and to consist of nodes with relatively low mobility and short transmission range. As justified by the assumption of high node density, the authors further assumed that intermediate routing nodes are always available at the desired location whenever they are needed. Considering the nodes without power control capability, the authors argued that the optimal transmission range can be set at the system design stage. Specifically, they showed that the optimal one-hop transmission progressive distance is independent of the physical network topology, the number of transmission sources, and the total transmission distance; and that it only depends on the propagation environment and radio transceiver device parameters. A similar assumption was made in [8], even though the node density was only considered for the energy consumption of overhearing nodes. They investigated the problem of selecting an energy-efficient transmission power to minimize global energy consumption for ad hoc networks. They concluded that the average neighbourhood size is a useful parameter in finding the optimal balance point. Effect of network lifetime on forwarding technique selection has been discussed by Ghosh and Das [13]. In [15], a protocol called MRMS (Multipath Routing in large scale Sensor networks with Multiple Sink nodes) is proposed which incorporates multiple sink nodes. In MRMS, a primary path is created with minimum path cost. It also saves the other paths from different Sinks. Thus, when the primary path is not reachable or if the residual energy of the sensors along the path falls below a certain threshold, another path is selected. III. Present work Transmission range, number of intermediate hops, size of the coverage area and data forwarding techniques are the crucial factors in calculating the energy consumption of WSNs. A comparable study of different forwarding techniques is present in [4 ]. The source nodes or intermediate nodes select a next node to forward the data to the destination based on different criteria, the process repeats until data reaches the destination. In the greedy forwarding technique, neighbour node nearer to the sink is chosen considering its distance from sink node as a criterion. In the residual energy based forwarding technique, remaining energy of the neighbouring nodes is used as a criterion to select the next node. We have used these two forwarding techniques here for finding an optimum transmission range to enhance network lifetime. The nodes were deployed in a grid fashion as shown in Figure 1.
  • 3. Finding an Optimum Transmission Range in a multi-sink Wireless sensor network to make a …. DOI: 10.9790/2834-10226367 www.iosrjournals.org 65 | Page NOTE: The (*) marked fields shows the default values. These values have been changed as per the experimental needs. The radio model proposed in [17] has been used here. ETX (m, d) =m*E+m* ε * d2 ERX (m) =m*E Where E=50nJ/bit and ε = 10 pJ/bit/ m2. ETX= Energy Consumed for transmission ERX=Energy Consumed for reception d= Distance between transmitting and receiving node ε= Permittivity of free space m=number of bits IV. Performance Evaluation and discussion Before measuring the energy consumption in a WSN, one must decide a particular forwarding technique for transmission and receiving data packet. In our case, we are using greedy forwarding and residual energy based forwarding. Figure 1 show the deployment pattern formed when the location of nodes is taken in a grid fashion and the source node is selected randomly. Fig.1 Pseudo-random deployment with 387 nodes in an area of 250 x 250. Node 111selected as Source node and Node 1, 2, 3 are Sink nodes. 4.1 Transmission Range vs. Energy Consumption Fig.2 Energy consumption variation with increase Fig.3 Energy Consumption variation with increase Transmission Transmission Range by using greedy forwarding technique. Range by using residual energy based forwarding. In Fig.3 and fig, 4 shows an increment in the total energy consumption of the network with increase the transmission range of nodes within a fixed coverage area by using greedy forwarding and residual energy based forwarding respectively. The total energy Consumption in the WSN is directly proportional to the transmission
  • 4. Finding an Optimum Transmission Range in a multi-sink Wireless sensor network to make a …. DOI: 10.9790/2834-10226367 www.iosrjournals.org 66 | Page range while using greedy forwarding technique. Whereas, for residual energy based forwarding, we see a parabolic nature of the graph, when total energy consumption is plotted against increased transmission range. 4.2 transmission ranges vs. No. of intermediate nodes Fig.4 No. of intermediate hops variation with increase Fig.5 No. of intermediate hops variation with increase Transmission Range by using greedy forwarding technique. Transmission Range by using residual energy based forwarding The figure 5 and 6 shows the effect of transmission range on the total number of intermediate hops of a WSN by using greedy forwarding and residual energy based forwarding respectively within a fixed coverage area. As we increase the transmission range the Number of intermediate hops of the sensor node decreases. By total number of intermediate hops we mean, the cumulative number of hops every packet encounters throughout the lifetime of the network. 4.3 optimum transmission ranges Fig.6 optimum transmission Range by using greedy Fig.7optimum Transmission range by using residual energy based Forwarding Technique forwarding Now, to find out the optimum transmission range, we plot both graphs in together to get a crossover point . We propose this crossover point to be the optimum transmission range. In figure 6 we can see the optimum transmission range is 50 using greedy forwarding. Same comparison for residual energy based forwarding. In figure 7 shows that range 50 is also an optimum range for residual energy based forwarding. Hence, we can say range 50 is an optimum range of both forwarding techniques. V. Conclusion and future work The experimental result shows that the transmission range, number of intermediate nodes and the transmission area have a direct effect on the lifetime of a WSN. Our experimental result shows a direct relation
  • 5. Finding an Optimum Transmission Range in a multi-sink Wireless sensor network to make a …. DOI: 10.9790/2834-10226367 www.iosrjournals.org 67 | Page to the energy consumption and transmission range while an inverse relation to the transmission range and number of intermediates hops of the sensor nodes. Energy consumption increase with increases transmission range and number of intermediate nodes decreases with increase transmission ranges. The future work may involve the effect of various parameters on lifetime of WSN and will propose a protocol that enhance the lifetime of a WSN. References [1]. V. Raghunathan, C. Schurghers& M. Srivastava, (2002) "Energy-aware Wireless Micro sensor Networks", IEEE Communication Magazine, pp. 40-50. [2]. G. Pottie, W. Kaiser, (2000) "Wireless Integrated Network Sensors, Communication of ACM", Vol. 43, no. 5, pp. 51-58. [3]. Singh, Woo &Raghavendra, (1998) Power-aware routing in mobile ad hoc networks, 4th Annual IEEE/ACM Int. Conf. Mobile Computing and Networking, pp. 181–190, Dallas, TX . [4]. Jyoti Kaurav and Kaushik Ghosh "Effect of Transmitting Radius, Coverage Area and Node Density on the Lifetime of a Wireless Sensor Network" Department of Computer Science & Engineering, Mody University 2012. [5]. I. Dietrich and F. Dressler, “On the Lifetime of Wireless Sensor Networks,” ACM Transactions on Sensor Networks (TOSN), vol. 5, no. 1, pp. 1–39, February 2009. [6]. R. Ramanathan and R. Rosales-Hain, "Topology control of multihop wireless networks using transmit power adjustment," in Proc. IEEE INFOCOM, Mar. 2000, pp. 404–413. [7]. H. Takagi and L. Kleinrock, "Optimal transmission ranges for randomly distributed packet radio terminals," IEEE Trans. Commun., vol. COM-32,no. 3, pp. 246–257, Mar. 1984. [8]. T.-C. Hou and V. O. K. Li, "Transmission range control in multihop packet radio networks," IEEE Trans. Commun., vol. COM-34, no. 1, pp. 38–44, Jan. 1986. [9]. L. Cao, C. Xu, W. Shao, Multiple Sink Dynamic Destination Geographic Routing in Wireless Sensor Networks, in Procs. of the International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery (CyberC), Huangshan, 2010. [10]. V. Rodoplu and T. H. Meng, "Minimum energy mobile wireless networks,"IEEE J. Sel. Areas Commun., vol. 17, no. 8, pp. 1333– 1344, Aug. 1999. [11]. P. Chen, B. O'Dea, and E. Callaway, "Energy efficient system design with optimum transmission range for wireless ad hoc networks," in Proc. IEEE ICC, 2002, pp. 945–952. [12]. Y. Chen, E. G. Sirer, and S. B. Wicker, "On selection of optimal transmission power for ad hoc networks," in Proc. 36th Hawaii Int. Conf. Syst. Sci., Jan. 2003, pp. 300–309. [13]. Y. Chen, E. Chan, S. Han, Energy-Efficient Multipath Routing in Large Scale Sensor Networks with Multiple Sink Nodes, in Procs. of APPT, 2005, 390-399. [14]. Ghosh, K., Das, P.K.: Effect of forwarding strategy on the lifetime of multi-hop multi-sink sensor network.In: Third International Conference on Trends in Information, Telecommunication, and Computing, vol. 150.LNEE (2013). [15]. K.N. Chairman, M. Younus, M.Y. Javed, NSN based Multi-Sink Minimum Delay Energy Efficient Routing in Wireless Sensor Networks, European Journal of Scientific Research, 41, 2010, 399-411.