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- W2575103466 abstract "We consider the problem of planning a collision-free path of a robot in the presence of risk zones. The robot is allowed to travel in these zones but is penalized in a super-linear fashion for consecutive accumulative time spent there. We recently suggested a natural cost function that balances path length and risk-exposure time. When no risk zones exists, our problem resorts to computing minimal-length paths which is known to be computationally hard in the number of dimensions. It is well known that in two-dimensions computing minimal-length paths can be done efficiently. Thus, a natural question we pose is Is our problem computationally hard or not? If the problem is hard, we wish to find an approximation algorithm to compute a near-optimal path. If not, then a polynomial-time algorithm should be found." @default.
- W2575103466 created "2017-01-26" @default.
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- W2575103466 date "2016-12-15" @default.
- W2575103466 modified "2023-09-27" @default.
- W2575103466 title "Open problem on risk-aware planning in the plane" @default.
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