Randomly Roving Agents in Wireless Sensor Networks
Hakob Aslanyan, Jose Rolim

TL;DR
This paper provides a probabilistic analysis of randomly roving agents in wireless sensor networks, deriving formulas for their frequency characteristics using Stirling numbers, simplifying existing models.
Contribution
It introduces a simplified probabilistic model for roving agents in WSN and derives formulas for their frequencies using Stirling numbers, enhancing understanding of their behavior.
Findings
The basic agent model is equivalent to a simpler probabilistic model.
Formulas for agent frequencies are expressed using Stirling numbers.
The approach justifies the quantitative characteristics of roving agents.
Abstract
Quantitative characterization of randomly roving agents in wireless sensor networks (WSN) is studied. Below the formula simplifications, regarding the known results and publications, it is shown that the basic agent model is probabilistically equivalent to a similar simpler model and then a formula for frequencies is achieved in terms of combinatorial second kind Stirling numbers. Stirling numbers are well studied and different estimates are known for them letting to justify the roving agents quantitative characteristics.
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Taxonomy
TopicsDistributed Control Multi-Agent Systems · Energy Efficient Wireless Sensor Networks
