Optimal Multi Zones Search Technique to Detect a Lost Target by Using K Sensors

Abstract

This paper presents the discrete search technique on multi zones to detect a lost target by using sensors. The search region is divided into zones. These zones contain an equal number of states (cells) not necessarily identical. Each zone has a one sensor to detect the target. The target moves over the cells according to a random process. We consider the searching effort as a random variable with a known probability distribution. The detection function with the discounted reward function in a certain state and time interval are given. The optimal effort distribution that minimizes the probability of undetection is obtained after solving a discrete stochastic optimization problem. An algorithm is constructed to obtain the optimal solution as in the numerical application.

Detection Model With a Maximum Discounted Effort Reward Search to Maintenance a Best Decision Under the Quality Control Process

“…[1] solved a difficult optimization problem under the steady-state situation to get a suitable company with the highest service rate. The search models for the lost targets vary according to the circumstances in which the searching process takes place, for example, [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32]. The main purpose of these models is to find these targets with minimum cost and maximum probability.…”