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The intersection points of the shared region are points, and.
is covered by the th shared region if.
denotes the index of the shared region where is placed.
Before entering the shared region, each thread will try to acquire a Mutex lock to gain an access and execute the code inside the shared region.
Then for deployed at one shared region, the corresponding subset is chosen as one element in.
Each element in the set corresponds to one MN; each shared region corresponds with one subset.
Similar(11)
Let denote the number of shared regions.
denotes the set of centroid points of all shared regions.
We say belongs to or contains if Let and denote the set of all shared regions, and reduced set of shared regions, respectively.
These feasible circles may overlap each other and the intersected areas are referred as shared regions.
Then we perform aggregation for all shared regions to reduce the solution space.
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