| Autors: Baeva, S. K., Stherev, V. A., Hinov, N. L., Kanchev, H. C. Title: Risk Optimization for E-bike Cycling in Urban Area Keywords: risk assessment, e-bike cycling, optimal route, mathematical Abstract: In this study a common mathematical model of a two-step stochastic problem of the optimal risk-free route from the starting point to the final destination for e-bike cycling. Under risk in this study is considered any obstacle in the route (potholes or bad terrain, pedestrians, pets, hooligans, incompetent drivers etc.). The aim of this paper is the implementation a mathematical model and approach for solving the problem and not particularly the type of hazards taken into account by the risk assessment. For this reason, the input is based on ungrouped statistical data with periodical and stochastic condition in time and space. The mathematical model is expressed as a stochastic problem with two stages. In the first stage, the problem of finding the average risk during e-bike cycling for each section of the route is solved. The input parameter is the number of obstacles in each branch. In the second stage, the problem of finding the optimal risk-free route is solved. References Issue
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