An Exact Algorithm for the Integrated Planning of Berth Allocation and Quay Crane Assignment

Authors:
Ilaria Vacca;Matteo Salani;Michel Bierlaire
Affiliations:
Transport and Mobility Laboratory, School of Architecture, Civil and Environmental Engineering, École Polytechnique Fédérale de Lausanne EPFL, CH-1015 Lausanne, Switzerland;Dalle Molle Institute for Artificial Intelligence IDSIA, CH-6928 Manno-Lugano, Switzerland;Transport and Mobility Laboratory, School of Architecture, Civil and Environmental Engineering, École Polytechnique Fédérale de Lausanne EPFL, CH-1015 Lausanne, Switzerland
Venue:
Transportation Science
Year:
2013

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Abstract

In this paper we study the simultaneous optimization of berth allocation and quay crane assignment in seaport container terminals. We propose a model based on an exponential number of variables that is solved via column generation. An exact branch and price algorithm is implemented to produce optimal integer solutions to the problem. In particular, we present several accelerating techniques for the master and the pricing problem that can be generalized to other branch and price schemes. Computational results show that the proposed approach outperforms commercial solvers. Furthermore, the developed algorithm allows for a comparative analysis between the hierarchical and the integrated solution approach that confirms the added value of integration in terms of cost reduction and efficient use of resources. To the best of our knowledge, this is the first exact branch and price algorithm for both the berth allocation problem and the berth allocation problem with quay crane assignment.