Time average optimization of cycle process with profit and effort discounts
Authors: Davydov AA, Shutkina TS
Publication Year: 2010
Reference: Russian Journal of Nonlinear Dynamics, 6(1):151-158
nd.ics.org.ru/doc/r/pdf/1651/0 [in Russian]
Abstract
We prove the existence of solution in the problem of time averaged optimization of cyclic processes with both profit and effort discounts and find the respective necessary optimality condition. It is shown that optimal strategy could be selected piecewise continuous if a differentiable profit density has a finite number of critical points. In such a case the optimal motion uses only maximum and minimum velocities as in Arnold's case without any discount.
KEYWORDS: Average optimization; Periodic process; Necessary optimality condition; Discount
KEYWORDS: Average optimization; Periodic process; Necessary optimality condition; Discount