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Modelling and solving the multi-quays berth allocation and crane assignment problem with availability constraints

Issam Krimi (), Raca Todosijević (), Rachid Benmansour, Mustapha Ratli, Abdessamad Ait Cadi and Afaf Aloullal
Additional contact information
Issam Krimi: OCP Group
Raca Todosijević: LAMIH UMR CNRS 8201, Université Polytechnique Hauts de France
Rachid Benmansour: LAMIH UMR CNRS 8201, Université Polytechnique Hauts de France
Mustapha Ratli: LAMIH UMR CNRS 8201, Université Polytechnique Hauts de France
Abdessamad Ait Cadi: LAMIH UMR CNRS 8201, Université Polytechnique Hauts de France
Afaf Aloullal: Mohamed 6 Polytechnic University

Journal of Global Optimization, 2020, vol. 78, issue 2, No 6, 349-373

Abstract: Abstract In this work, we are interested in the multi-quays berth allocation and crane assignment problem under availability restrictions. Availability restrictions may arise due weather conditions, or when, for example, cranes must undergo planned maintenance in order to stay in good performance. This problem was inspired by a real-case of a bulk port in Morocco. To solve the problem we propose at first a mixed-integer programming model. Then, in view of the limitations of the proposed model, we investigate a set of heuristics based on general variable neighborhood search with three variants of variable neighborhood descent as a local search. To validate the proposed model and the proposed heuristic approach, real-world instances are used. The computational results reveal that CPLEX MIP solver consumes a lot of CPU time to solve this model, even sometimes failing to guarantee the optimality of the provided solution. On the other hand, the proposed GVNS heuristic turns out to be very efficient in solving the considered problem.

Keywords: Multi-quay; Berth allocation; Crane assignment; Bulk ports; Availability constraints; Variable Neighborhood Search (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s10898-020-00884-1

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