Advancements in Mathematical Modelling for Estimation of Lifetime of Wireless Mobile Ad Hoc Networks

Abstract

This article proposes a comprehensive mathematical model along with reviews on various mathematical models used by the researchers to estimate the lifetime of Mobile Ad-hoc Networks (MANETs). Network lifetime is a crucial quality-of-service (QoS) metric, and researchers have defined it in multiple ways, including the time from network establishment to its failure or the average time until the network dies. Many models utilize the First Order Radio Model (FORM) to calculate energy consumption during data transmission and reception. There are different factors which influence network lifetime which include, energy consumption during data transmission and reception, battery capacity and discharge rate, energy consumption by the microcontroller, transceiver, and sensors in various modes (active, sleep, idle, etc.). The article also discusses existing mathematical models that are based on some of these factors. Further, a comprehensive mathematical model is proposed, integrating all relevant factors, offering a holistic approach for network lifetime estimation. Experimental evaluations suggest significant improvements in network lifetime and energy efficiency compared to conventional methods. Through this holistic approach, the study contributes to advancing the understanding and estimation accuracy of network lifetime in MANETs.