Spiral with line segment directory for a helix search path to find a randomly located target in the space
Mohamed Abd Allah El‐Hadidy · International Journal of Operational Research · 2021
In this paper we present more interesting search plan in the space to find a lost hanging black box in the water from a view point of computational stochastic geometry. The space is divided into cubic cells with knowing side length. There exist one searcher moves on helix path along spiral with line segment directory. Depending on the target has known trivariate known distribution, we focus on the optimal geometry features such as curvature and torsion of the helix search path which minimise the expected value of detecting the target. Assuming trivariate standard normal distribution we present numerical example to show the applicability of this model.