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Only the traffic contribution from slaves is considered for this calculation as the master will never generate a collision.
Any subset of the minimal collision set cannot generate a collision; in other words, a minimal collision set does not include any other collision set.
In this procedure, a stack is used to store the current subset of R∖{i} in order to evaluate whether the sum of the interference of the readers in this subset can generate a collision to the target reader.
In GridCell, any particle attempting to move to an occupied location will generate a collision.
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In addition, a Genetic Algorithm is implemented to generate a collision-free optimal path linking an initial configuration of the mobile robot (Source) to a final configuration (Target).
The hardware platform used to test the developed algorithms is the AscTec Firefly equipped with a RGB-D camera (Microsoft Kinect): the sensor output is used to incrementally build a map of the environment and generate a collision-free path.
Figure4 shows how the probability that a set generates a collision exponentially decreases as n increases.
The probability that a set generates a collision exponentially decreases as the cardinality of the set increases.
Simulation results of trajectory planning shows that the VEGA generates a collision-free trajectory.
We prove that the FAS scheme generates a collision-free aggregation schedule, as follows: The FAS scheme provides a collision-free data aggregation scheduling.
The control system generates a collision-free reference from the commands issued by the operator and gives it to a remote stable controller driving the robot.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com