This paper discusses a search problem for a Helix target motion in which any information of the target position is not available to the searchers. There exist three searchers start searching for the target from the or...This paper discusses a search problem for a Helix target motion in which any information of the target position is not available to the searchers. There exist three searchers start searching for the target from the origin. The purpose of this paper is to formulate a search model and finds the conditions under which the expected value of the first meeting time between one of the searchers and the target is finite. Also, the existence of the optimal search plan that minimizes the expected value of the first meeting time is shown. Furthermore,this optimal search plan is found. The effectiveness of this method is illustrated by using an example with numerical results.展开更多
In this paper,we present a complex cooperative search technique for finding the Random Walking microorganism cells on one of n-intersect real lines at the origin.We have 2n unit speed searchers starting together from ...In this paper,we present a complex cooperative search technique for finding the Random Walking microorganism cells on one of n-intersect real lines at the origin.We have 2n unit speed searchers starting together from the origin.Furthermore,proving the existence of a finite search plan,we are discussing the existence of optimality for this search plan which minimizes the expected value of the first meeting time between one of the searchers and the microorganism cells.展开更多
文摘This paper discusses a search problem for a Helix target motion in which any information of the target position is not available to the searchers. There exist three searchers start searching for the target from the origin. The purpose of this paper is to formulate a search model and finds the conditions under which the expected value of the first meeting time between one of the searchers and the target is finite. Also, the existence of the optimal search plan that minimizes the expected value of the first meeting time is shown. Furthermore,this optimal search plan is found. The effectiveness of this method is illustrated by using an example with numerical results.
文摘In this paper,we present a complex cooperative search technique for finding the Random Walking microorganism cells on one of n-intersect real lines at the origin.We have 2n unit speed searchers starting together from the origin.Furthermore,proving the existence of a finite search plan,we are discussing the existence of optimality for this search plan which minimizes the expected value of the first meeting time between one of the searchers and the microorganism cells.