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Container vessel fleet deployment for liner shipping with stochastic dependencies in shipping demand
Institution:1. Agência Nacional de Transportes Terrestres – ANTT, Setor de Clubes Esportivos Sul – SCES, lote 10, trecho 03, Projeto Orla Polo 8, 70200-003 Brasília, DF, Brazil;2. Faculdade de Engenharia Elétrica e de Computação, Universidade Estadual de Campinas, 13083-970 Campinas, SP, Brazil;3. Departamento de Engenharia de Produção, Universidade Federal de São Carlos, Via Washington Luiz, km 235, 13565-905 São Carlos, SP, Brazil;1. Department of Marine Technology, The Norwegian University of Science and Technology, Trondheim, Norway;2. Department of Industrial Economics and Technology Management, The Norwegian University of Science and Technology, Trondheim, Norway;3. The Norwegian Marine Technology Research Institute (MARINTEK), Trondheim, Norway;4. Canada Research Chair in Distribution Management, HEC Montréal, Montréal H3T 2A7, Canada;1. Department of Marine Technology, The Norwegian University of Science and Technology, Trondheim, Norway;2. Department of Industrial Economics and Technology Management, The Norwegian University of Science and Technology, Trondheim, Norway;3. The Norwegian Marine Technology Research Institute (MARINTEK), Trondheim, Norway;1. DTU Management Engineering, Technical University of Denmark, Produktionstorvet, Building 426, DK-2800 Kgs. Lyngby, Denmark;2. Polytechnique Montréal and GERAD, Department of Mathematics and Industrial Engineering, C.P. 6079, Succ. Centre-Ville, Montréal, Québec H3C 3A7, Canada;1. Norwegian University of Science and Technology, Department of Industrial Economics and Technology Management, Trondheim, Norway;2. Norwegian Marine Technology Research Institute (MARINTEK), Trondheim, Norway;1. Centre for Operational Research, Management Science and Information Systems (CORMSIS), University of Southampton, Southampton SO17 1BJ, United Kingdom;2. Portsmouth Business School, Portsmouth, United Kingdom
Abstract:The problem of optimal container vessels deployment is one of great significance for the liner shipping industry. Although the pioneering work on this problem dates back to the early 1990s, only until recently have researchers started to acknowledge and account for the significant amount of uncertainty present in shipping demand in real world container shipping. In this paper, new analytical results are presented to further relax the input requirements for this problem. Specifically, only the mean and variance of the maximum shipping demand are required to be known. An optional symmetry assumption is shown to further reduce the feasible region and deployment cost for typical confidence levels. Moreover, unlike previous work that tends to ignore stochastic dependencies between the shipping demands on the various routes (that are known to exist in the real world), our models account for such dependencies in the most general setting to date. A salient feature of our modeling approach is that the exact dependence structure does not need to be specified, something that is hard, if not simply impossible, to determine in practice. A numerical case study is provided to illustrate the proposed models.
Keywords:Fleet deployment  Liner shipping  Container shipping  Maritime transportation  Stochastic dependence  Uncertainty
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