Authors: Fabio Fagundez, João Lauro Facó, Adilson Xavier
In this paper we present a continuous nonlinear programming approach to crude oil scheduling on ports. The main idea is to consider the schedule as a dynamic system which must operate under certain constraints. As the optimal control theory is well-fit for optimizing the operation of dynamic systems, our scheduling problem is modeled as an optimal control problem, where transfer operations are carried out by flows from the ships to the port facilities (tanks). Such flows are mapped as control variables, whilst equipment contents (volume and properties) are mapped as state variables. Yes-No decisions are modeled as complementarity constraints, instead of with the use of discrete variables, allowing a continuous nonlinear model. We illustrate this approach with computational examples, which were solved to local optimality in reasonable computational time.