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Consider a set of n sensors deployed in a \"belt region\" - that is, a rectangul

ID: 3840829 • Letter: C

Question

Consider a set of n sensors deployed in a "belt region" - that is, a rectangular region R that is aligned with the x-y axes, where typically the width along the x-axis is much larger than the height along the y-axis. Assume that each sensor has a sensing range of r. That is, the sensor can detect movement anywhere in or on the circle of radius r centered at the sensor. This set of sensors provides k-weak barrier coverage for R if an intruder moving across R on any path parallel to the y axis will be detected by at least k sensors Here is an example where the sensors provide 1-weak barrier coverage: Give an O(n log n) algorithm to determine if a set of n sensors provides k-weak barrier coverage for R..

Explanation / Answer

O(n log n) algorithm to determine if a set of n sensors provides k-weak barrier coverage for R is given below:

//It is the starting point of the algorithm
Compute the k-weak barrier coverage
//Applying the data variable for three types
Data: solidCurves, straightLine, dashedLines
Result: solidCurves
weakBarrierSensor
weakBarrierSolidC=1;
weakBarRS solidCurves;
Update weakCoverageNC;
Apply WBC to weakCoverageNC;

//While loop condition
while NCK!=0 do
weakBarrierSolidC = weakBarrierSolidC+1;
Update weakBarRSOne and weakCoverageNCs;
Apply WBC to weakCoverageNCs;
end

Explanation:

Step 1:The initial part is to make use of Intruder detection as it helps you to important alert a station if they detects the presence of an intruder which is monitored circular area centered ayt its location.

Step 2:The next step is to monitor the boundary of the regions which is provided by the barrier coverage for the most sufficient and cost-effective way.

Step 3:Following this, The weak coverage densors network is being applied when an intruder detects anyone follows the straight-line path across the barrier.The weak coverage is sufficient if its being not known by trespasser.

Step 4:The final step is to achieve the weak coverage of the Rectangle R in a blocking configuration, which is used in a mobile sensors so that it will detect the network in any direction of a given area for placing the perpendicular to any side of the rectangle R.