NORMAL DISTRIBUTION ON ENERGY SAVING PROBLEMS FOR THE WIRELESS SENSOR NETWORK LIFE ON THE VACATION PERIOD

Hajrulla, Shkelqim and Ali, Loubna and Souliman, Nour (2023) NORMAL DISTRIBUTION ON ENERGY SAVING PROBLEMS FOR THE WIRELESS SENSOR NETWORK LIFE ON THE VACATION PERIOD. Journal of Natural Sciences and Mathematics of UT, 8 (15-16). pp. 292-298. ISSN 2545-4072

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Abstract

Based on math operations, we can do some analytic approaches for energy saving for the WSN life. We will study the vacation period time using numerical methods for studying the energy-saving mechanism in analytic models. Several research papers have reported that the normal distribution of a random variable has an enormous contribution in analyzing and comparing the data with each other, making the process easier according to methods used or observing the tendencies of numerous occurrences in real-life applications. This paper focuses on analyzing two problems: the first one is the normal distribution and its special cases by solving real problems of WSN node operations and the second one is the application of standard normal distribution related to saving energy during vacation time in a certain time interval. The goal of our work is to obtain the appropriate algorithm to minimize the risk of data loss during the network vacation period, which is associated with the organization of network node structures after this period time, and to maximize the battery life of individual sensors. For that, we will use math methods and based on probability distribution theory, we derive some distributions of the processing period duration from an arbitrary fixed time up to a variable time t. The analytic approach based on the conception of the Laplace transform and the Lagrange method performs better than the previous results. We continue by examining them through detailed calculations and graphs. We compare the predicted energy saving and the average real energy.

Item Type:	Article
Uncontrolled Keywords:	numerical methods, lost packets, time charging, sensors, programming complexity
Subjects:	T Technology > T Technology (General)
Divisions:	Faculty of Engineering, Science and Mathematics > School of Electronics and Computer Science
Depositing User:	Unnamed user with email zshi@unite.edu.mk
Date Deposited:	04 Nov 2023 23:10
Last Modified:	04 Nov 2023 23:10
URI:	http://eprints.unite.edu.mk/id/eprint/1527

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