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1 results

  • Optimal pest control through catastrophes

  • E.G. Kyriakidis, Andris Abakuks
  • Journal:
    Journal of Applied Probability / Volume 26 / Issue 4 / December 1989
    Published online by Cambridge University Press:
    14 July 2016, pp. 873-879
    Print publication:
    December 1989

  • This paper is concerned with the problem of controlling a simple immigration–birth process, which represents a pest population, by the introduction of catastrophes which, when they occur, reduce the population size to zero. The optimality criterion is that of minimising the long-term average cost per unit time of the process. Firstly, an optimal policy is found within a restricted class of stationary policies, which introduce catastrophes if and only if the population size is greater than or equal to some critical value x. The optimality of this policy within the wider class of all stationary policies is then verified by applying the general results of Bather (1976).