The objective of the present research is to make use of optimal control theory to solve a production inventory problem with deteriorating items and dynamic costs.
Two production systems with inventory-level-dependent demand are considered and Pontryagin maximum principle is used to determine the optimal control.
In the paper, we present a new approach to solve the Vlasov equation in two dimensions. First, we use the time splitting method then we apply the ENO (essentially nonoscillatory) scheme based on the idea of Harten to solve our equation. We elaborate a transformation time-space to avoid the mixed problem and reducing the error. This algorithm is applied to… (More)