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1 results

  • On the optimal search for a target whose motion is a Markov process

  • Lauri Saretsalo
  • Journal:
    Journal of Applied Probability / Volume 10 / Issue 4 / December 1973
    Published online by Cambridge University Press:
    14 July 2016, pp. 847-856
    Print publication:
    December 1973

  • We will consider the optimal search for a target whose motion is a Markov process. The classical detection law leads to the use of multiplicative functionals and the search is equivalent to the termination of the Markov process with a termination density. A general condition for the optimality is derived and for Markov processes in n-dimensional Euclidean space with continuous transition functions we derive a simple necessary condition which generalizes the result of Hellman (1972).