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The CBTC protocol 2 The CBTC protocol produces a connected communication graph if ρ ≤ 2π/3  The obtained communication graph is made symmetric by adding the reverse edge to every unidi

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The CBTC protocol (2)

 The CBTC protocol produces a connected communication graph if

ρ ≤ 2π/3

 The obtained communication graph is made symmetric by adding the

reverse edge to every unidirectional link

 A set of optimizations are also proposed, that prune energy-inefficient

edges while not impairing connectivity and symmetry

 Drawback: directional information required

 Several variants of CBTC have been introduced [Bahramgiri et

al.02][Huang et al.02]

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Neighbor-based TC

Other class of TC protocols based on the k-neighbors graph, i.e the graph in

which every node is connected to its k closest neighbors

 First neighbor-based TC protocol: the LINT protocol of

[RamanathanRosales-Hain00]:

– Basic idea: try to keep the number of neighbors of every node within a low and high

threshold centered around an “optimal value”

– Number of neighbors estimated overhearing control and data messages

– Drawbacks: the “optimal value” is not characterized; the estimation of the number of

neighbors might be inaccurate (silent neighbors are not detected); connectivity is not guaranteed

 KNeigh [Blough et al.03a]:

Goal: maintain the number of physical neighbors equal to (or slightly below) k

– The graph produced is symmetric

– On the average, it is 20% more energy-efficient than CBTC

– Drawback: based on distance estimation; connectivity only w.h.p.

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The optimal value of k

Optimal value of k for increasing n

0 1 2 3 4 5 6 7 8 9 10

n

Optimal value of k for increasing values of n

(from [Blough et al 03])

Remark: setting k = 9 guarantees connectivity w.h.p for values of n ranging

from 50 to 500

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Sample topologies

Sample topologies generated in case of CTR topology control (left), and after

KNeigh (center) and CBTC (right) execution The number of nodes is n = 100

(from [Blough et al 03])

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The XTC protocol

 XTC is a very recent protocol by the same author of CBTC

[WattenhoferZollinger04]

 Basic idea (similar to KNeigh):

– at the beginning, every node orders its neighbors (set of nodes in the

maximum transmitting range) according to some criterion (e.g., link quality)

– then, every node transmits its order at maximum power

– based on its own order, and on the orders of its neighbors, every node

determines the set of “logical” links according to a simple rule

 XTC always produces a connected communication graph (provided the

original graph is connected)

Drawback: no upper bound on the number of physical neighbors

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Mobile networks

 Which is the impact of mobility on TC?

protocol must be re-executed periodically in response to node mobility

the “message efficiency” of the protocol is fundamental: protocols that exchange few messages to maintain the topology are needed

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Mobility models

 Impact of mobility on TC depends on the mobility pattern

 Mobility models:

community Every node chooses uniformly at random a destination in [0,1] 2 , and moves

towards it along a straight line with velocity chosen at random in [v min ,v max] When it

reaches the destination, it rests for a time t pause, then it starts moving according to the same rule

[, and velocity chosen at random in [v min ,v max] After a randomly chosen time, the node chooses a new direction and velocity

in a disk centered around the current node position

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RWP and Random Direction Mobility

RWP mobility (left) and Random Direction mobility (right) In case of RWP

mobility, nodes tend to cross the center of the deployment region (border effect)

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The mobile CTR

 With homogeneous topology control, message overhead is not an issue, since the nodes’ transmitting range is set at the design stage and cannot

be change dynamically

 However, the node spatial distribution generated by the mobility pattern could be an issue

For instance, it is known that the RWP model generates non-uniform

node spatial distribution [Bettstetter et al.03]

 On the other hand, the node distribution generated by random direction and Brownian mobility is very close to uniform [Blough et al.02b]

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The mobile CTR (2)

Node distribution generated by the RWP model with different values of the pause time

(from [Blough et al.02b])

Remark: the fact that the node spatial distribution generated by RWP

mobility is not uniform should be carefully considered when simulating

mobile ad hoc networks

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