In this paper, we focus on the
asymptotic capacity and delay, and their tradeoffs in mobile ad hoc networks
(MANETs). As we all know, some fixed rate communication models such as the
protocol model and the physical model have been studied in the past. However,
our work aims to investigate the impact of an adaptive rate communication model
on capacity-delay tradeoffs in MANETs under classical mobility models.
Specifically, we adopt a well-known adaptive rate model called the generalized
physical model (GphyM). The mobility of nodes is characterized by two broad
classes of practical mobility models and they are hybrid random walk models and
discrete random direction models. The two models generalize many mobility
models studied in the literature, including the random walk, i.i.d., Brownian,
and random way point models. For each mobility model, we derive the optimal
delay for the optimal persession unicast capacity (that of constant order Θ(1))
under the generalized physical model, depending on the individual parameters of
mobility models. In particular, we show that for the i.i.d. model, compared
with those under the protocol and physical models, the adaptive feature of link
rate under the generalized physical model results in a significant decrease in
the optimal delay for the optimal capacity; more precisely, both the optimal
capacity and optimal delay can be simultaneously achieved, while there is no
improvement for the random way-point model.
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