Berth Allocation Problem with uncertain arrival and handling times

The Berth Allocation Problem (BAP), or the assignment of berths to ships, is a classical decision problem encountered in maritime container terminals. Ships assignment to berths in most efficient way enables to reduce the handling times of containers and improves the service quality for container ships. While several research papers deal with deterministic version of the BAP assuming that the arrival times of ships and handling times of containers are known in advance, few researchers consider uncertainty issues. The main propose of the current paper is to allocate ships to berths considering the uncertainty in arrival times and in the end times of handling. We build two fuzzy mixed linear programs to formulate the problem and we use a successful parametric approach to transform fuzzy models to crisp ones.