MATHEMATICAL ANALYSIS OF A PARKING SYSTEM FOR TELEMETRY APPLICATIONS

PANAGIOTIS GRIGORIOS KOGIAS; MARINA NEGIANNI; JACOB FANTIDIS; FOTINI KOGIA

doi:10.5937/jaes16-16097

PANAGIOTIS GRIGORIOS KOGIAS Eastern Macedonia and Thrace Institute of Technology
MARINA NEGIANNI Eastern Macedonia and Thrace Institute of Technology
JACOB FANTIDIS Eastern Macedonia and Thrace Institute of Technology
FOTINI KOGIA Eastern Macedonia and Thrace Institute of Technology

DOI: https://doi.org/10.5937/jaes16-16097

Abstract

In this paper using the waiting system theory we make a mathematical assessment to find the optimal solution for a smarter parking space for telemetry applications and conventional parking. We apply to the smart parking system the theory of one waiting system with many points of service, and for the compatible parking space. Initially, according to the waiting system theory we followed, we made a count of customers so we can see a number of customers trying to find a parking space. Then we noticed the customers who arrive in the system either according to a known and stable pace or otherwise, as in most cases, at "random" times. In the “random” times that customers have come to the system, we have been helped by the distribution of Poisson. Thus, we have clearly seen the time of customer service as well as their positions in the system. Later we analyzed the models of distribution where each separately explains the cases of customers in the system and with mathematical equations we arrived at a right outcome.