@article{MAKHILLJEAS201813315485,
    title = {A Monte Carlo Approach to Estimate the Coverage Overlapping Areas in WSNs},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {13},
    number = {3},
    pages = {624-628},
    year = {2018},
    issn = {1816-949x},
    doi = {jeasci.2018.624.628},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2018.624.628},
    author = {Hayder and},
    keywords = {WSNs,overlapping,coverage,Monte Carlo simulation and set theory,preventing intruders,intersection areas},
    abstract = {"Wireless Sensor Networks (WSNs)" represent a set of sensors spatially deployed assisted by other
to sense, monitor or track certain zone. Sensors can communicate with base station either directly or through
other nodes. Each sensor has an ability to cover certain area usually represented by a circle. This circle radius
is equal to the sensor sensing range and its center is the location (coordinates) of the sensor node. In most
WSN applications there are many regions are covered by more than one circle (sensor). Such regions are called
overlapping regions. In other words such region will be sense and monitor by more than one sensor. In such
case same (redundant) data will be delivered to the base station. But in other application it is required and
important to increase the system reliability in preventing intruders. Overlapping has many significant effects
on the network behavior metrics. It is so important to estimate and optimize the overlapping regions in the
process of planning and deploying any new WSN. These overlapping represent the intersection areas (lens)
surrounded by arcs resulted from circles intersections. In this study, a new developed Monte Carlo approach
is utilized to estimate all the intersection areas among many circles. A computer simulation technique in Net
Logo Software is developed to perform this task. The developed approach is found to be useful in estimating
all the not uniform regions in any WSN coverage area in a simple manner. Such calculations represent a
challenge in mathematics it shows very near exact calculations.}
    }