Abstract
Multi-access edge computing implementations are ever increasing in both the number of deployments and the areas of application. In this context, the easiness in the operations of packet forwarding between two end devices being part of a particular edge computing infrastructure may allow for a more efficient performance. In this paper, an arithmetic framework based in a layered approach has been proposed in order to optimize the packet forwarding actions, such as routing and switching, in generic edge computing environments by taking advantage of the properties of integer division and modular arithmetic, thus simplifying the search of the proper next hop to reach the desired destination into simple arithmetic operations, as opposed to having to look into the routing or switching tables. In this sense, the different type of communications within a generic edge computing environment are first studied, and afterwards, three diverse case scenarios have been described according to the arithmetic framework proposed, where all of them have been further verified by using arithmetic means with the help of applying theorems, as well as algebraic means, with the help of searching for behavioral equivalences.
Highlights
Multi-Access Edge Computing (MEC) environments are growing by the day due to the need of more computing power near the end users [1]
Artificial intelligence (AI) techniques, such as Convolutional Neural Networks (CNN), were only available in cloud facilities [2], due to their high requirements of computing resources and power, which were only available through Wide Area Network (WAN) links, those having constraint bandwidth and large round trip times
Recent advances in the data science (DS) paradigm has brought up a new generation of smaller artificial intelligence (AI)-powered resources, which may be embedded into smaller facilities, such as those being implemented into the fog [3] or into the edge [4], which are reachable through Local Area Network (LAN) links, those having greater bandwidth and shorter latency rates
Summary
Multi-Access Edge Computing (MEC) environments are growing by the day due to the need of more computing power near the end users [1]. It is to be noted that such a layered model includes end devices at the bottom tier, known as hosts, along with remote computing devices such as edge nodes, fog nodes and cloud nodes at the upper tiers, those following certain arithmetic rules related to the hosts located below them All those items involved are being interconnected through a wired environment whose port numbers follow certain arithmetic rules according to the hosts situated down below. Such expressions might be seen as an alternative way to current forwarding schemes based on searching for matches into the appropriate forwarding tables, those performing either routing or switching, depending whether the forwarding device works at layer 3 or at layer 2 according to the OSI model, which standardizes network communications. Sensors 2022, 22, 421 proposed, Section 5 develops a logical approach so as to suggest some theorems and their proves related to the communications taking place in the models proposed, in turn, Section 6 depicts the specification and verification of the models by algebraic means, and eventually, Section 7 draws some final conclusions
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