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Annals of Operations Research manuscript No. (will be inserted by the editor)

Summary: Annals of Operations Research manuscript No.
(will be inserted by the editor)
Continuous Polling Models and Application to Ferry
Assisted WLAN
Veeraruna Kavitha · Eitan Altman
Received: date / Accepted: date
Abstract In this paper we focus on a class of polling systems encountered while
modeling the ferry based wireless local area network (FWLAN). A moving ferry, while
walking in a predetermined cyclic path, communicates with the static nodes (or users)
of the network via a wireless link. The ferry is assumed to stop and communicate with
a node that has a packet to send or to receive, when it is closest to that node. The
location distribution of the node to which or from which a packet arrives is assumed
to have a support of positive Lebesgue measure. These features imply that polling
models with finite number of queues cannot be used to model the system. We study
in this paper the continuous polling systems with service disciplines that model the
use of the FWLAN (and that are more complex than the classical exhaustive or gated
services). Our approach is based on discretization of the continuous polling model. We
propose a special way of discretizing the continuous system such that: 1) the known
Pseudo conservation laws can be applied to obtain the stationary expected workload
of the discrete systems; 2) the limit, of these 'discretized' expected workloads, equals


Source: Altman, Eitan.- Projet Maestro, Université de Nice Sophia Antipolis


Collections: Engineering