Tb. Culver et Ca. Shoemaker, DYNAMIC OPTIMAL GROUNDWATER RECLAMATION WITH TREATMENT CAPITAL COSTS, Journal of water resources planning and management, 123(1), 1997, pp. 23-29
A dynamic optimal control algorithm for ground-water remediation was e
xtended to incorporate treatment facility capital costs, as a function
of the peak operating rate. Our approach to including the capital cos
ts of treatment required no additional control variables and only a si
ngle additional state variable. Incorporation of the capital costs of
the treatment facility had the greatest impact on design when the pump
ing policies were changed at intervals of six months or fewer. For lon
ger management periods, inclusion of treatment facility capital costs
had little effect on the selected optimal policies. This work demonstr
ates that capital treatment costs may significantly impact a dynamic m
anagement policy and that these capital costs should be explicitly inc
orporated into a dynamic management model.