Optimization of Multitype Branching Processes
We consider either a discrete time or an age-dependent branching process where the population consists of k types of individuals. Each time an individual is born, an action is chosen, for him which affects his lifetime, the number and types of his offspring, and the reward received. The problem of maximizing the expected reward is shown to be equivalent to a generalized Markov decision problem where the (k \times k) transition, matrices are non-negative but not necessarily substochastic. It is shown that this branching process decision model can account for immigration, that it can be viewed as a controlled population process or infinite particle system, and that it has a number of applications including marketing and biology.
Year of publication: |
1976
|
---|---|
Authors: | Pliska, Stanley R. |
Published in: |
Management Science. - Institute for Operations Research and the Management Sciences - INFORMS, ISSN 0025-1909. - Vol. 23.1976, 2, p. 117-124
|
Publisher: |
Institute for Operations Research and the Management Sciences - INFORMS |
Saved in:
Online Resource
Saved in favorites
Similar items by person
-
Weiss, Howard J., (1976)
-
Optimal Consumption and Exploration of Nonrenewable Resources Under Uncertainty
Deshmukh, S. D., (1978)
-
Martingales and Stochastic Integrals in the Theory of Continous Trading
Harrison, J. Michael, (1981)
- More ...