By Chiasserini, Carla-Fabiani; Gribaudo, Marco; Manini, Daniele
Wireless networks signify a cheap and handy solution to connect with the net. besides the fact that, regardless of their functions throughout a number of applied sciences, one problem nonetheless is still: to appreciate the habit of instant sensor networks and determine their functionality in large-scale scenarios.
When lots of community nodes have to engage, constructing compatible analytical versions is key to make sure the perfect assurance and throughput of those networks and to augment consumer mobility. this can be intrinsically tricky as a result dimension and variety of diversified community nodes and users.
This publication highlights a few examples which express how this challenge could be conquer with using varied concepts. a radical parameter research exhibits the reader the way to the make the most analytical types for an efficient improvement and administration of alternative kinds of instant networks.
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Extra info for Analytical modeling of wireless communication systems
5%). 05. The ﬁgure presents the average delivery delay (top graph) and the average power consumption (bottom graph) as 32 Analytical Modeling of Wireless Communication Systems functions of the node distance from the sink. Observe that the node power consumption signiﬁcantly decreases as sensors spend more time in a sleep state, however this beneﬁt has a cost in terms of delivery delay. Thus, a clear trade-off emerges between power consumption and the level of service that the network can offer.
1. 1. Single message transfer The behavior of a single message, generated by a sensor and transferred to the central controller, is described by using HA. 1, where each box represents a state of the HA. The variable named Hop takes on the identiﬁer of the link that the message is currently traversing. Hop is initialized to ﬁrst_hop, which, in a single-hop topology, is the identiﬁer of the link between the sensor that has generated the message and the central controller. 1 only the portion of the HA marked with a continuous line has to be considered.
Transient solution The transient solution of the DTMC representing the whole network model is carried out by using standard techniques [TRI 01]. Denote with π n Hybrid Automata for Transient Delay Analysis 47 the vector describing the state probability at time n, then π n+1 can be computed as π n+1 = π n C. However, the solution procedure still presents a serious challenge: the number of entries π n grows exponentially with the number of report messages. e. 2, most of the rows of matrix F, and hence of matrix C, have only one non-zero element, since they simply represent the advance in time.