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OPTIMAL CONTROL OF A SIMPLE IMMIGRATION PROCESS THROUGH THE INTRODUCTION OF A PREDATOR

Published online by Cambridge University Press:  07 January 2003

E.G. Kyriakidis
E.G. Kyriakidis
Affiliation:
Department of Statistics and Actuarial Science, University of the Aegean, Karlovassi, 83200 Samos, Greece, E-mail: [email protected]
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Abstract

This article is concerned with the problem of controlling a simple immigration process, which represents a pest population, by the introduction of a predator. It is assumed that the cost rate caused by the pests is an increasing function of their population size and that the cost rate of the controlling action is constant. The existence of a control-limit policy that minimizes the expected long-run average cost per unit time is established. The proof is based on the variation of a fictitious parameter over the entire real line.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 17 , Issue 1 , January 2003 , pp. 119 - 135
Copyright
© 2003 Cambridge University Press

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