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Mathematical Modeling of Smart Irrigation System


Hesham Alhumyani, Sultan Alshamrani, Saleh Omran and Quadri Waseem
Abstract

Nowadays water scarcity is a big issue for farming especially in the Arabian Peninsula and in Drought-affected Countries. Water irrigation is very important part of land farming. Therefore, there is a need for a smart solution to help farmers to irrigate the farmlands in a sophisticated and productive manner. We try to make a smart irrigation system based on Internet-of-Things (IoT) in order to provide the sufficient amount of water automatically using the deployment concept of Wireless sensor networks (WSNs) in an efficient mathematical way. However, we need to provide enough water with the use of less water sprinklers in cost-effective ways that are positioned at the right locations with the maximum coverage area. In this paper, we mainly focus on how to deploy the controlled water sprinklers in certain area properly using the best technique of Sensor Deployment for more better coverage area. We mathematically modeled the problem using simplicial complex analysis to determine the needed number of sprinklers in order to cover certain areas. We aim to cover target areas using triangulations that satisfy Euler characteristic formula for a projective plan.

Volume 11 | 03-Special Issue

Pages: 1721-1733