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Vehicle Parking Navigation Based on Edge Computing With Diffusion Model and Information Potential Field

Wei Wei, Qiao Ke, Adam� Zielonka, Mariusz Pleszczyński, Marcin Woźniak

2023IEEE Transactions on Services Computing21 citationsDOI

Abstract

Based on sensor networks within a dynamic and real-time environment, a novel parking-lot navigation method is proposed based on diffusion equation and Poisson equation to achieve convenient and efficient navigation process with edge computing mind to aid information query and navigation. From the perspective of theoretical proof, is presented parallel method mainly for ordinary differential equations (ODEs) by partitioning the time domain. In this article, our new method is combined by parallelization for linear heat equations. The model problem is decoupled into several sub-problems in space-time sub-domains. We prove the super-linear convergence when the time interval is bounded. Numerical experiments testify our theoretical analysis. Simultaneously, the proposed method holds the lower constraint condition and some improper navigation routes can be updated. Mathematical analysis and simulations show that the method is accurately and efficiently enabled to solve typical sensor network configuration information navigation problem.

Topics & Concepts

Computer scienceBounded functionPartial differential equationConvergence (economics)Ordinary differential equationConstraint (computer-aided design)Mathematical optimizationPoisson's equationDomain (mathematical analysis)AlgorithmDifferential equationMathematicsEconomic growthMathematical analysisGeometryEconomicsSmart Parking Systems ResearchEvacuation and Crowd DynamicsRobotic Path Planning Algorithms
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