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The network analysis function of the ComGIS is embedded in the overall optimization process of the MOGA to find single-loop optimal paths.

Finally, pedestrians also tread their own optimal paths through the snow.

The destination selects the optimal paths based on geographic forwarding.

The final topology is composed of these optimal paths.

Unlike the Witkowski's algorithm, which finds optimal paths only in binary occupancy grid maps, the TWD∗ algorithm can find optimal paths in weighted occupancy grid maps.

Fig. 8 Optimal paths of 7 robots using D2PSO with five obstacles Fig. 9 Optimal paths of 7 robots using D2PSO with three obstacles.

Therefore, the probability of finding optimal paths out of a total of optimal paths is a binomial distribution given by (B.1).

Planning optimal paths for large numbers of robots is computationally expensive.

Real time path planning for mobile robots requires fast convergence to optimal paths.

The Trulla all-paths planner computes an a priori set of optimal paths.

A higher value of expected probability can result in discovery of more optimal paths.

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