@inbook{6c4b4962fa1547d79433030861c14137,
title = "Fully fuzzy linear programming model for the berth allocation problem with two quays",
abstract = "In this work, we study the berth allocation problem (BAP), considering the cases continuous and dynamic for two quays; also, we assume that the arrival time of vessels is imprecise, meaning that vessels can be late or early up to a allowed threshold. Triangular fuzzy numbers represent the imprecision of the arrivals. We present two models for this problem: The first model is a fuzzy MILP (Mixed Integer Lineal Programming) and allows us to obtain berthing plans with different degrees of precision; the second one is a model of Fully Fuzzy Linear Programming (FFLP) and allows us to obtain a fuzzy berthing plan adaptable to possible incidences in the vessel arrivals. The models proposed have been implemented in CPLEX and evaluated in a benchmark developed to this end. For both models, with a timeout of 60 min, CPLEX find the optimum solution for instances up to 10 vessels; for instances between 10 and 65 vessels it finds a non-optimum solution and for bigger instants no solution is founded. Finally we suggest the steps to be taken to implement the model for the FFLP BAP in a maritime terminal of containers.",
author = "Flabio Gutierrez and Edwar Lujan and Rafael Asmat and Edmundo Vergara",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.",
year = "2019",
doi = "10.1007/978-3-030-10463-4_5",
language = "English",
series = "Studies in Fuzziness and Soft Computing",
publisher = "Springer Verlag",
pages = "87--113",
booktitle = "Studies in Fuzziness and Soft Computing",
}