Pardeep Kumar
Department of Mathematics, Lovely Professional University, Punjab, India.

Amit Kumar
Department of Applied Science, Symbiosis Institute of Technology, Symbiosis International (Deemed University), Lavale, Pune, Maharashtra, India.

DOI https://doi.org/10.33889/IJMEMS.2023.8.6.070

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Abstract

The aim of this paper is to analyze the performance of a Garbage data collecting sensor network system (GDCSNS) through mathematical modelling and a reliability approach. The reliability assessment of such a system is essential to ensuring that it can collect data related to garbage at different locations consistently and accurately. After the determination of the reliability measures of the system, the next aim is to identify the weakest sensors of the system so that a timely maintenance strategy for the weakest sensor can be planned to avoid disruption in the collection of data from the sensor systems. In the considered system, three sensors have been installed at various location in the city that send the information to the center office (hub point) and then from the center office to the person who is responsible for collecting the garbage from the location and dumping it at some predefined places. These sensors collect data related to garbage level, weight, and other information and send it to computers at the city's central office. Markov modelling has been used to model the system. Based on the mathematical model, a state transition diagram and a set of Kolmogorov time-dependent differential equations have been obtained. The various state probabilities (explicit expressions) related to the performance of the system, namely, Reliability, Mean time to failure, have been obtained to understand the different maintenance policies that can be used. A sensitivity analysis has also been performed to determine the weakest sensor among the sensors.

Keywords- Reliability indices, Garbage data, IoT, Sensor systems, Markov modelling, Multi-state system.

Citation

Kumar, P., & Kumar, A. (2023). Quantifying Reliability Indices of Garbage Data Collection IOT-based Sensor Systems using Markov Birth-death Process. International Journal of Mathematical, Engineering and Management Sciences, 8(6), 1255-1274. https://doi.org/10.33889/IJMEMS.2023.8.6.070.