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M-states search problem for a lost target with multiple sensors

Author

Listed:
  • Abd El-Moneim Anwar Teamah
  • Mohamed Abd El-Hady Kassem
  • Mohamed Abd Allah El-Hadidy

Abstract

This paper considers the discrete search problem for a single lost target by using multiple sensors. The lost target either located in one of a finite set of different states (cells) or moved through them according to random process with discrete time and discrete state space. A search effort at each fixed number of time intervals is a random variable with a given distribution. The probability that the target in a certain state j at a certain time i and the detection function is supposed to be known to the searchers. We seek for the optimal distribution of the effort that minimises the probability of undetection the target over the set of possible different states. Our aim is to deduce an explicit formula for the random distribution of the random variable effort. An algorithm is constructed for obtaining this optimal solution. The effectiveness of this method is illustrated using some examples with numerical results.

Suggested Citation

  • Abd El-Moneim Anwar Teamah & Mohamed Abd El-Hady Kassem & Mohamed Abd Allah El-Hadidy, 2017. "M-states search problem for a lost target with multiple sensors," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 10(1), pages 104-135.
    • Handle: RePEc:ids:ijmore:v:10:y:2017:i:1:p:104-135
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