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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>International Conference on Applied Informatics
Eger, Hungary, January</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Energy Sparing of the Leach Communication Mechanism With Mobile Sink Node</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Mohmamed Amine Korteby</string-name>
          <email>korteby.amine@inf.unide.hu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Zoltán Gál</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Faculty of Informatics, University of Debrecen</institution>
          ,
          <addr-line>Debrecen</addr-line>
          ,
          <country country="HU">Hungary</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2020</year>
      </pub-date>
      <volume>2</volume>
      <fpage>9</fpage>
      <lpage>31</lpage>
      <abstract>
        <p>In the process of crafting routing protocols for Wireless Sensor Networks (WSN), clustering became an important aspect to spare network energy consumption and data delivery eficiently. Low-Energy Adaptive Clustering Hierarchy (LEACH) is a hierarchical cluster-based, energy-eficient routing protocol. It extends the network lifetime by randomly selecting Cluster Heads (CH) to aggregate and forward the routing information from the cluster members to the Sink node. LEACH in its archetype is a distributed routing protocol and one of the most eficient energy management mechanism for WSN. However, there exist some disadvantages, that lead to uneven energy consumption in the network when the nodes far away from the Sink die more quickly than the nodes closed. Hence, we propose a new approach for network lifetime improvement, where the Sink node is mobile and cross the whole network physical area to have a better energy consumption rate uniformly distributed across the network.</p>
      </abstract>
      <kwd-group>
        <kwd>Low-energy adaptive clustering hierarchy (LEACH)</kwd>
        <kwd>Wireless Sensor Network (WSN)</kwd>
        <kwd>routing</kwd>
        <kwd>clustering</kwd>
        <kwd>energy consumption</kwd>
        <kwd>mobility</kwd>
        <kwd>uniform energy distribution</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>In a Wireless Sensor Network (WSN), the nodes are deployed to monitor an Area
of Interest (AoI) and collect date depending on their function. The captured
information is then forwarded to the Base Station (BS) or Sink Node (SN) for further
Copyright © 2020 for this paper by its authors. Use permitted under Creative Commons License
Attribution 4.0 International (CC BY 4.0).
processing. This procedure is done by diferent routing mechanisms that lean on the
network architecture and the researchers’ needs. However, since the devices have
restricted energy capacity, the primary issue in the deployment of sensor nodes
is to guarantee their power eficiency. Moreover, such sensors are commonly and
heavily concentrated in areas that are unreachable to human beings, therefore, the
battery modules cannot be charged up or replaced. Because of this, the battery of
the sensors must be exploited to the greatest extent, this mechanism is referred to
as energy eficiency.</p>
      <p>
        Routing protocols play a key role in achieving an eficient transmission and
proper routing for the aggregated data, due to the lack of network resources as
they have less energy and memory. Therefore, it is important to exploit these
assets eficiently and intelligently. A successful model of WSN is a model that can
have a good compromise between maximum data collection and least energy
consumption. In the process of crafting routing protocols for WSN, clustering becomes
an important aspect to spare network energy consumption and data delivery
eficiently. Hierarchical routing including clustering can be an adequate sensor nodes
organization method [
        <xref ref-type="bibr" rid="ref1 ref14">1, 14</xref>
        ]. Furthermore, applying clustering in WSN can increase
the scalability, reduce energy harvesting and latency, ensure good connectivity,
perform load balance, diminish energy hole and increasing network lifetime [
        <xref ref-type="bibr" rid="ref17 ref19 ref2">2, 17, 19</xref>
        ].
      </p>
      <p>
        Low-Energy Adaptive Clustering Hierarchy (LEACH) is a hierarchical
clusterbased, energy-eficient routing protocol. It extends the network lifetime by
randomly selecting Cluster Heads (CH) to aggregate and forward the routing
information from the cluster members to the Sink node. This intermediate delivery step
decreases the quantity of energy consumed by the nodes. The formation of
clusters makes the routing robust and scalable. The fusion technique of the LEACH
collects data and delivers only valuable information to all the nodes. The main
goal of the LEACH protocol is the energy sparing based on the random election
of the CH nodes from the whole WSN in consecutive epoch times. Each CH has
its own cluster with zero or higher number of node members. The two alternating
phases based mechanism are executed for each time interval, a setup phase where
the election of the CH and the assignment of the member nodes is executed and a
steady phase where the member of the same cluster send their messages to the CH
without collision [
        <xref ref-type="bibr" rid="ref1 ref15 ref20">1, 15, 20</xref>
        ].
      </p>
      <p>
        LEACH in its archetype is a distributed routing protocol and one of the most
eficient energy management mechanism for WSN. However, there exist some
disadvantages, when the probability of becoming CH is independent of the node energy
level, random cluster formation that leads to uneven clusters distribution in the
network [
        <xref ref-type="bibr" rid="ref11 ref16 ref2">2, 11, 16</xref>
        ]. This method results also from inequitable trafic distribution
between the nodes because the heads of the cluster deliver the information whether
via routing between the CHs of the cluster or straight forward to the BS. Some CHs
thereby weaken their energy more quickly than others and trigger energy-hole issues
in the system [
        <xref ref-type="bibr" rid="ref18 ref3 ref4">3, 4, 18</xref>
        ]. In such circumstance, the entire network infrastructure
will indeed be divided though much energy remains unused, which dramatically
reduce the network.
      </p>
      <p>The paper structure is as following: in the second chapter related work of the
basic LEACH mechanism is given. Architecture and energy aspect of the LEACH
mechanism are presented in chapter three. The impact of the Sink mobility in
LEACH is analyzed with simulation methods and is discussed in chapter four.
Last chapter concludes the results and gives possible continuation targets of the
topic.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Work</title>
      <p>
        A heuristic method named Weighted Rendezvous Planning (WRP) was proposed
by H. Salarian and. Al. A near-optimal tour for the mobile sink which minimizes
the nodes’ energy consumption was considered. WRP determines a group of
Rendezvous Points that avoid the creation of energy holes. WRP allows a mobile sink
to collect all data from nodes over a given time-limit whereas maintaining energy
needs. This energy-eficient, WSN trajectory selection approach reduces energy
consumption and helps increase lifespan [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
      <p>
        Virtual Grid Distributed Clustering (VGDC) has been introduced for the
efective mobile WSN clustering. To perform distributed clustering the entire network
area is divided into equally sized grids. Every grid features only one cluster head,
whereas all cluster heads are connected together. This ofers full coverage of adding
further nodes to the cluster heads. VGDC strengthens cluster head stability and
reduces the immediate communication across the sink and nodes [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
      </p>
      <p>
        Z. Zhou et. al developed a heuristic three-phase approach for the efective
management of mobile sinks in hybrid WSN. The network is split into grid sheets,
and the grids will form clusters. Such clusters organize themselves in order to
balance the energy usage in them by assigning or freeing up gird cells. This
approach achieves an efective network grid cell division that extends the network life
span [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
      </p>
      <p>
        S. Sharma and. Al implemented a Mode Switched Grid-based Routing (MSGR)
protocol that utilizes grid protocol advantages. It induces sensors to afectively
transmit data toward a mobile sink. Any nodes that don’t participate in the routing
are put on sleep mode. The energy is saved, and the lifetime is enhanced [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
      <p>
        P.Y. Chi et. Al suggested an Energy-Aware Grid Routing Scheme (EAGER)
designed to distribute data between the source and several mobile sinks. The
network area is fragmented into equally sized grid cells and all cells are allocated a
unique identifier labelled Grid Identification. EAGER uses the rerouting method,
which recreates new paths of data transmission among various mobile sinks and
sources. Also, it provides a framework for time scheduling during which the idle
grid head is permitted to sleep during a certain time period [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Architecture and Energy Aspects of the LEACH</title>
    </sec>
    <sec id="sec-4">
      <title>Mechanism</title>
      <p>
        Routing protocol in WSN is a method to transmit data from the source to the
destination by selecting convenient routes. In a WSN a source node senses data and
sends the packet through intermediate nodes to the base station (BS) using single
hope communication in small network where the source node and the BS can
communicate directly and in multi-hope communication mode where the covered area
is large. There exist three main categories to classify routing protocols: Network
Organization (Flat, Hierarchical and Location-Based), Route Discovery (Reactive,
Proactive and Hybrid), Protocol Discovery (Negotiation, Multi-Path, Query and
QoS-Based). Another type of network is Delay Tolerant Networks (DTN), they
use a specific type of routing protocols such as Epidemic Routing Protocol (ERP),
ProPHET (PRO) and Direct Delivery Routing (DDR). LEACH is a hierarchical
routing protocol, its main goal is the energy saving, to do so cluster heads (CH) are
randomly elected in successive epoch times while alternating between two phases
[
        <xref ref-type="bibr" rid="ref10 ref12 ref13">10, 12, 13</xref>
        ].
      </p>
      <p>Set-up phase: In this phase are elected the heads of the clusters and
assignment of the member nodes to the clusters. Signalling and communication between
the CH and the members are executed with Time Division Multiple Access (TDMA)
or Code Division Multiple Access (CDMA). WSN nodes take part in the election
phase of the CH by generating own random priority number in the range (0,1). If
the generated value is less than the threshold T(n), then the node becomes head.
The value of the threshold is modified conform to the following formula:
 ( ) =
︃{
0,</p>
      <p>
        1− ·mod(, 1/ ) , if  ∈ ,
otherwise,
where T (n) is the threshold, n is a random variable taking values between [
        <xref ref-type="bibr" rid="ref1">0, 1</xref>
        ] and
[0, N ], respectively. The p denotes the CH election probability or the percentage
of a node to become a CH and is constant for a given simulation scenario. r is
the current round and G is the set of sensor nodes that did not become CH in
previous 1/p rounds. We refer round  to be epoch. A node with index n becomes
CH for the current round if the generated random value of a sensor node is strictly
less than a threshold T(n). For a given round we have a fixed threshold and it is
compared to the sensor node random values. If it is equal to 0, it means that n does
not belong to G but belongs to the complementary set of node that were already
elected as CH or died. Once a node is elected CH it cannot participate in the next
1/p round of CH election: i.e. if p ∈ {0.05, 0.10} than the elected CH cannot be
reelected in the next 1/p ∈ {20, 10} rounds respectively. This criterion is useful
for the energy load balance inside the network, since every node gets better chance
to become CH. Based on this rule any of the nodes can become CH with similar
probability, making uniformity on WSN extra energy consumption level of the CH
function. The CHs announce the other nodes with radio channel broadcast about
its new CH function. The ordinary nodes receive these signals and based on the
intensity of the signal decide which cluster to become a member with. The signal
intensity in practice depends on diferent environmental parameters but for the
classical version of the LEACH, just the distance between the node and the CH is
considered. The ordinary nodes send their responses to the most advantageous CH,
becoming in this way member of that cluster. The CH schedule the communication
inside of cluster for the members during the actual epoch time.
      </p>
      <p>Steady phase: Members of the same cluster use TDMA (time slot) and CDMA
(chip node) mechanisms to send their message to the CH without collision. The CH
forwards the aggregated and compressed cluster level message to the Sink node.
For the basic version of the LEACH, each cluster member is allowed to send at
most one message per epoch time. The nodes are in a sleeping mode in the time
inactive communication intervals to increase their lifetime. The CH nodes of the
actual epoch time use TDMA and CDMA communication mechanisms during the
communication of the Sink node to avoid collisions.</p>
    </sec>
    <sec id="sec-5">
      <title>4. Impact of the Sink</title>
    </sec>
    <sec id="sec-6">
      <title>Mobility in LEACH</title>
    </sec>
    <sec id="sec-7">
      <title>Network</title>
      <p>A mobile sink has been used in the proposed research to gather data from the sensor
nodes with the goal of reducing the dulled energy of the WSN. We considered
several N sensor nodes randomly spread with geographic coordinates in a circle
area. The intention here is to improve the sensor’s battery life, as data is now
being conveyed over a smaller range. Doing so will result in fewer packet drops
and less packet delay. Before describing the simulation result in depth, we need to
outline some network assumptions:</p>
      <p>- The network nodes have heterogeneous initial energy amounts, and are static
in physical space after deployment.
terms constant in the equation (4.1).
of the received signal.</p>
      <p>- Same initial total energy for the WSN by setting both  0 and ( ·  + 1) · 
- The range between a sender and a receiver may be determined by the intensity
- The mobile sink has abundant resources.</p>
      <p>The simulations were achieved with two subsets of the WSN nodes. Normal
Nodes (NN) and Advanced Nodes (AN) have  0 and ( + 1) ·  0 initial energy
levels, respectively where  is the energy factor of the advanced nodes and  &gt;
0. The population of these subsets are</p>
      <p>
        ∈ [
        <xref ref-type="bibr" rid="ref1">0, 1</xref>
        ]. The initial energy ( 
is given by the next formula:
0,
      </p>
      <p>·
0,  

and (1 −  ) ·  , respectively, where
0) of the subsets and the whole WSN

 
0 = ( + 1) ·  ·</p>
      <p>·  0,
0 = (1 −  ) ·  ·  0,
 
0 = 
0 +  
0 = ( ·  + 1) ·  ·  0.</p>
      <sec id="sec-7-1">
        <title>Parameters</title>
        <p>Diameter of the circle field, 
Center of the circle field
Initial position of the Sink node
Farthest position of the Sink node
Number of nodes of the WSN, 
Ratio of the AN node to the total nodes, 
Velocity, 
Radio frames length,  
Energy factor of the AN, 
Aggregation level, 
Ratio of the CH nodes, 
Initial energy unit,  0
Energy consumption of the electronics,  
Energy multipath factor in function of antenna height,  
Energy consumption of the antenna amplifier,  
Energy consumption of the frame aggregation, 
Radio antenna height, 
Radio channel distance threshold,  0
Energy Free Space Factor,  
Path loss exponent, 
Value(s)
100 m
(0, 0)
(-D, 0)
(D, 0)
157
0.5
0, 5, 10 m/s
4000 bits</p>
        <p>1
0.10, 0.90
5 %
2.5 J
50 nJ/bit</p>
        <p>1.3 pJ
0.1 nJ/bit
5 nJ/bit
1.5 m
87.7 m
10 pJ/bit/ 2
4
The attenuation  to distance  of the energy during the radio communication is
given by the following formula:</p>
        <p>( ) =   ( )/   ( )
 ( ) =
︃{ (/ )2,
(/ 0)2 · ( 0/ ) , if  ∈ [ 0, ∞),
if  ∈ (0,  0),
where   ( ) and    ( ) are the received and transmitted energy to distance d,
respectively.  is the radio antenna size (in the range of centimeters) at the
transmitter that has an efect on the radio energy attenuation during the transmission
between the nodes and  0 the crossover distance being the threshold distance
between the source and destination. Parameter  is the path loss exponent (path
attenuation) which includes the efect of the physical environment to the radio
channel being dependent on the distance  .</p>
        <p>To visualize the details of the communication process much more intensively we
created new markers of the WSN behaviour. FDN (First Node Die), HND (Half of
the Nodes Die), TQD (Third Quarter of the Nodes Die), LNA (Last Node Alive)
represent epoch IDs when first node, 50% of the nodes, 75% of the nodes and all</p>
      </sec>
      <sec id="sec-7-2">
        <title>b) Direct Sequence (DS)</title>
        <p>except one of the nodes loss all remaining energy, respectively. Velocity (v) denotes
the speed of the mobile sink in meter per seconds. Aggregation level (g) describe
the uniformity or heterogeneity of the gathered data. The higher the value of g the
more heterogeneous is the data.</p>
        <p>Diferent stages of the simulation with diferent set of parameters can be seen
in Figure 1, where the sink node is static with velocity v=0 m/s. We can observe
that the nodes positioned far from the Sink and having the distance greater than
the threshold  0 tend to die more quickly as they consume a large amount of
energy in both LEACH and Direct Sequence (DS), each of the nodes in DS send
his frame directly to the Sink node. No cluster creation or transit frame forwarding
is executed by any of the nodes.</p>
        <p>In the second set of figures (see Figure 2) the mobile sink in moving throughout
the whole network area, crossing the circle from its radius with v=10 m/s, we
can stat the inverse where the two protocols do not share the same behavior with
velocity &gt; 0. This is due to the characteristics of DS, when the data is transmitted
from the node directly to the sink, we can observe a uniformly distributed energy
consumption and the node close to the centroid and its vicinity die last. The
a) Energy decreasing of the NN, AN
and total nodes</p>
      </sec>
      <sec id="sec-7-3">
        <title>b) Number of residual NN, AN, and total nodes</title>
        <p>energy consumption for the transmission between the nodes decreases, helping to
maintain longer lifetime. The mean energy ratio of the normal nodes (NE / N 0),
the advanced nodes (AE / A 0) and the total nodes (E / T 0) of the corresponding
subset’s initial energy is shown in Figure 3.a. The number of residual NN and AN
node is shown with blue and green curves in Figure 3.b.</p>
        <p>First half of the flatted nodes depend slowly on the initial energy of the nodes,
but in the second time period the AN node dies much more later than the NN
nodes. The remaining energy of the AN and NN nodes decreases conform to two
linear phases (see Figure 3.a). The number of operational nodes for both the NN
and AN node sets is step-wise in time (see Figure 3.b).</p>
        <p>In Figure 4.a, mean distance between CHs and Sink is relatively constant for the
ifrst half of the live nodes. This distance gets attenuated periodicity in the second
half of the network life time because the Sink node is moving periodically. In Figure
4.b in the last quarter of the network life, the radius of clusters increases temporarily
then decays because of the re-election of CHs that act upon the new topology
as the network becomes disconnected, CHs will form to be in a one hope short
distance from the Sink. Furthermore using a mobile sink will not only eliminate
a) Distance CH and Sink vs. epochs</p>
      </sec>
      <sec id="sec-7-4">
        <title>b) Radius of clusters vs. epochs</title>
        <p>the constraint of far nodes, but does provide a method for accessing and gathering
data from disconnected network regions, thus increasing network life.</p>
        <p>In Figure 5.a, we can observer that the energy of transmission is not constant
and that the operational nodes die not homogeneously, some transmissions require
more energy and others requires less energy.</p>
        <p>In Figure 5.b, the number of clusters is constant with 8 clusters per epoch
but starts to decreases in time. For the last 25 % of the operational nodes the CH
election basic algorithm has epochs with no elected CH. In these epochs no message
is sent to the Sink node, even if the ordinary nodes have frames to transmit. The
number of sent messages to the Sink becomes smaller as the time elapse because
the number of clusters decreases as well.</p>
        <p>Based on the simulations with the parameter set given in Table 1., following
assumptions can be stated in connection with the heterogeneous initial
energybased LEACH routing mechanism:</p>
        <p>- The nodes situated far away from the Sink and having a gap greater than the
 0 threshold start dying faster because they lose a significant amount of energy in
both LEACH and DS.</p>
        <p>- Neither Leach nor DS protocol shares the same behavior when the Sink node
is mobile. We state a uniformly distributed energy consumption and the node close
to the centroid and its vicinity die last.</p>
        <p>- The volume of operating nodes for either NN and AN node sets is step wise
in time.</p>
        <p>- The residual energy of the nodes AN and NN diminishes according to two
linear phases.</p>
        <p>- The greater the Sink node velocity the longer is the network longevity with
uniform data (See Table 2.).</p>
        <p>- Both LEACH and DS WSNs with fixed Sink node concentrate alive nodes
a) Operational Nodes vs.</p>
        <p>Transmissions</p>
      </sec>
      <sec id="sec-7-5">
        <title>b) Number of Aggregated Frames to Sink/N vs. epoch</title>
        <p>around the Sink. It can be seen on Figure 1.a and 1.b where the virtual energy
mass point of the network represented by red line moves toward the Sink.</p>
        <p>- Both LEACH and DS WSNs having mobile the Sink node maintain the virtual
energy mass point of the network in the center of area (red dot in the center of
circle).</p>
        <p>- LEACH WSN with mobile Sink consumes energy uniformly for both normal
and advanced energy nodes, but in case of DS WSN first die all of normal energy
nods and just after it start to elapses the energy of advanced nodes.</p>
      </sec>
    </sec>
    <sec id="sec-8">
      <title>5. Conclusions and Future Work</title>
      <p>In this work, we investigate the heterogeneous protocol LEACH with our own
developed simulation software. Two groups of nodes were included with diferent
initial energies Normal Node (NN) and Advanced Node (AN) to find behavioral
impacts of the Sink mobility. It was found that with the introduction of the Sink
mobility the result was, an enhanced network lifetime and a uniformly distributed
energy consumption for both LEACH and Direct Sequence routing protocols.</p>
      <p>It is necessary to extend and take advantage of the Sink mobility, a solution
would be to program the Sink node to be mobile and a Cluster Head at the same
time and to find the optimal trajectory of the Sink as a continuation of this work
in the next research time period.</p>
      <p>Acknowledgements. This paper was supported by the FIKP-20428-3/2018/
FEKUTSTRAT project of the University of Debrecen, Hungary and by the
QoSHPC-IoT Laboratory.</p>
    </sec>
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