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Reachability analysis was introduced in a paper of 1978 for the analysis and verification of communication protocols. [1] This paper was inspired by a paper by Bartlett et al. of 1968 [2] which presented the alternating bit protocol using finite-state modeling of the protocol entities, and also pointed out that a similar protocol described earlier had a design flaw.
An example of a roofline model with added bandwidth ceilings. In this model, the two additional ceilings represent the absence of software prefetching and NUMA organization of memory . An example roofline model with added in-core ceilings , where the two added ceilings represent the lack of instruction level parallelism and task level parallelism .
If a message is intended for a computer partway down the line, each system bounces it along in sequence until it reaches the destination. A daisy-chained network can take two basic forms: linear and ring. A linear topology puts a two-way link between one computer and the next. However, this was expensive in the early days of computing, since ...
A directed graph. A classic form of state diagram for a finite automaton (FA) is a directed graph with the following elements (Q, Σ, Z, δ, q 0, F): [2] [3]. Vertices Q: a finite set of states, normally represented by circles and labeled with unique designator symbols or words written inside them
Examples of networks with a single scale include the Erdős–Rényi (ER) random graph, random regular graphs, regular lattices, and hypercubes. Some models of growing networks that produce scale-invariant degree distributions are the Barabási–Albert model and the fitness model. In a network with a scale-free degree distribution, some ...
Studies of such networks reveal that they tend to have high global efficiency, implying good use of resources, but low local efficiency. This is because, for example, a subway network is not closed, and passengers can be re-routed, by buses for example, even if a particular line in the network is down. [1]
In mathematics, the concept of graph dynamical systems can be used to capture a wide range of processes taking place on graphs or networks. A major theme in the mathematical and computational analysis of GDSs is to relate their structural properties (e.g. the network connectivity) and the global dynamics that result.
Poisson bipolar network model is a type of stochastic geometry model based on the Poisson process and is an early example of a model for mobile ad hoc networks (MANETs), [2] [31] [44] which are a self-organizing wireless communication network in which mobile devices rely on no infrastructure (base stations or access points). In MANET models ...