Abstract
Minimization of costs associated with the production of radioactive isotopes is performed through the utilization of Pontryagin's maximum principle. A development of a maximum principle algorithm using both a quadratic form and a more general form as the objective function is given. Costs for several non-optimal irradiation policies are compared to the costs for the optimal policy for the production of several different radioactive isotopes. Results of this work can be especially significant for nuclear facilities which produce isotopes for sale or those for which neutron flux level is available at a premium because of fuel burnup or other considerations.
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