On the control of a compound immigration process through total catastrophes

On the control of a compound immigration process through total catastrophes

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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:
Keywords: markov processes, programming: dynamic
Abstract:

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.

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