| Article ID: | iaor20042703 |
| Country: | Netherlands |
| Volume: | 147 |
| Issue: | 3 |
| Start Page Number: | 522 |
| End Page Number: | 529 |
| Publication Date: | Jun 2003 |
| Journal: | European Journal of Operational Research |
| Authors: | Economou Antonis |
| Keywords: | markov processes, programming: dynamic |
We consider a compound immigration process that can be controlled by the introduction of total catastrophes. Under a natural cost structure the average cost optimal policy is found to be of threshold type. Moreover we study the stationary distribution of the population size when the system operates optimally.