cally update its routing table. This is accomplished
by broadcasting periodic control messages. However,
to avoid network congestion, OLSR uses the concept
of multipoint relays (MPR). This means, only nodes
selected as MPR are authorized to retransmit traffic
control intended to be broadcasted into the whole net-
work. Therefore, the MPR mechanism reduces sig-
nificantly the number of control messages forwarding
in the network. To calculate the MPR set, each node
in the network use periodic messages named HELLO-
messages received from its neighbors. To diffuse in-
formation about Topology, OLSR uses a second type
of messages named TC-messages (Topology Control
messages). Information acquired from TC-messages
allows nodes to compute and update their routing ta-
ble.
Despite the great success of the OLSR in
MANETs, several factors disrupt its performance.
But the great threat comes from physical mobility of
nodes. It has negative impact on the network topol-
ogy. To reduce this impact, the authors of several
studies (JOA-NG and LU, 1999)(Kumar and Suman,
2011)2011(Larson and Hedman, 1998)(Oudidi et al.,
2010)(Shukla, 2001) suggest many different metrics
to calculate nodes mobility and make it a quantifiable
value that can be used in the calculation process of
MPR-set or taken into account in the path computa-
tion. In the Following, we present brief description of
some of such metrics.
3 RELATED WORK
Several Studies propose various metrics to calculate
the mobility of nodes in ad hoc networks. They can be
classified into several categories (Kumar and Suman,
2011)(Oudidi et al., 2010).
The first one includes direct mobility metrics.
They are flexible and easy measurement methods
which are based on direct information extracted from
nodes movement. For example, the speed or average
speed can be one of this simple direct metrics. More-
over, various papers, published by many authors, fall
into this category of metrics. In (Larson and Hedman,
1998), the average speed is based on the relative ve-
locity for two nodes of the network. The average mo-
bility M (relative mobility) of node n can be also rep-
resented as the average change in the average distance
of the node n during a time interval T − ∆t being the
duration of the simulation and ∆t computation time.
Or the average distance of a node n at time t is the
average of the distances separating it from each node
i in the network.
The Paper presented by (Vazifehdan et al., 2012)
is another sample of direct mobility metrics. the main
equation for the authors is how long any two arbitrary
nodes in a wireless ad hoc network with a random
topology can communicate with each other without
interruptiondue to lack of routes between them before
their own battery runs out. To answer this question,
they utilize node-to-node communication lifetime. It
is defined as the duration that two nodes can commu-
nicate with each other without any break. In the case
where communications can be established through
several alternative routes, sometimes communication
might be ended due to the failure of one of the two
nodes (source node and destination node) or failure
of the last available route between them. In other
case, batteries depletion of one or more nodes form
paths can be the reason of the communication failure.
Based on this, to determine node-to-node communi-
cation lifetime, the authors consider the energy con-
sumption rate of nodes.
The second type of mobility metrics is named de-
rived mobility metrics. Those metrics use param-
eters characterizing the state of links in the network
like the rate of changes of link states or the average
length of the path. In (Oudidi et al., 2010), authors
observe that each node in the network can be in one
of four states (the node moves and its neighbors are
fixed, the node is stable and its neighbors are mov-
ing, the node and its neighbors are moving, the node
and its neighbors are immobile) which is caused by
changes in the links state. So, they define a new met-
ric of measurement of mobility that is based on the
number of nodes entering (or exiting) in the neigh-
borhood in a laps of time ∆t .
With the third category of the mobility metrics,
lifetime of links or routes is used. In the research
made in (Yawut et al., 2007), in order to ameliorate
the OLSR performance, the authors attempt to im-
prove the MPRs selection procedure. They modify
the Link tuple by adding a new field named Start Con-
nection Time (Start
t). With this, the node calculates
in the first step the link duration (LD) which is the
difference between current time and Start t for each
node in the neighborhood. After that, the procedure of
MPRs selection is modified in order to choose nodes
with the longest LD when D(y) of MPR candidate
nodes are the same. Where D(y), the degree of node y,
is defined (Clausen and Jacquet, 2003) as the number
of symmetric neighbors of node y excluding all the
members of N and the node performing the computa-
tion and N is the subset (Clausen and Jacquet, 2003)
of neighbors of the node (node with single interface)
performing the computation. For example, with the
nodes having the same value of Willingness, reacha-
bility and Degree, we have to select the one in which
the LD is the greatest.
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