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

  • Mohamed El-Hadidy Tanta University
  • Hamdy Abou-Gabal Tanta University
  • Aya Gabr Tanta University
Keywords: Detection model; nonlinear stochastic programming problem; discrete search problem; discounted effort reward search.

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.

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Published
2021-07-10
How to Cite
El-Hadidy, M., Abou-Gabal, H., & Gabr, A. (2021). Optimal Multi Zones Search Technique to Detect a Lost Target by Using K Sensors. Statistics, Optimization & Information Computing, 9(4), 871-885. https://doi.org/10.19139/soic-2310-5070-1136
Section
Research Articles