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経路計画arXiv:2212.01388

非確率的不確実性下での経路計画問題

Path Planning Problem under non-probabilistic Uncertainty

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巡回セールスマン問題において、移動時間が確率的・区間的に不確実な場合の理論的最適解(マキシミニティとマキシマリティ)を検討した研究。

著者: Keivan Shariatmadar

分類: math.OC, cs.RO, math.PR, math.ST, stat.TH

原文アブストラクト

This paper considers theoretical solutions for path planning problems under non-probabilistic uncertainty used in the travel salesman problems under uncertainty. The uncertainty is on the paths between the cities as nodes in a travelling salesman problem. There is at least one path between two nodes/stations where the travelling time between the nodes is not precisely known. This could be due to environmental effects like crowdedness (rush period) in the path, the state of the charge of batteries, weather conditions, or considering the safety of the route while travelling. In this work, we consider two different advanced uncertainty models (i) probabilistic-precise uncertain model: Probability distributions and (ii) non-probabilistic--imprecise uncertain model: Intervals. We investigate what theoretical results can be obtained for two different optimality criteria: maximinity and maximality in the travelling salesman problem.

関連論文

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