Advances in Decision Sciences
Volume 2006 (2006), Article ID 43435, 3 pages
doi:10.1155/JAMDS/2006/43435
The 10th anniversary special issue
Mahyar A. Amouzegar1
, Khosrow Moshirvaziri2
and Roger Z. Ríos-Mercado3
1RAND Corporation, USA
2California State University, USA
3Universidad Autonoma de Nuevo Leon, Mexico
Abstract
This paper is concerned with the problem of controlling a truncated general immigration process, which represents a population of harmful individuals, by the introduction of a predator. If the parameters of the model satisfy some mild conditions, the existence of a control-limit policy that is average-cost optimal is proved. The proof is based on the uniformization technique and on the variation of a fictitious parameter over the entire real line. Furthermore, an efficient Markov decision algorithm is developed that generates a sequence of improving control-limit policies converging to the optimal policy.