Title: A two-stage stochastic nonlinear integer-programming model for slot allocation of a liner container shipping service
Authors: Wang, T
Meng, Q
Wang, S 
Qu, X
Issue Date: Aug-2021
Source: Transportation research. Part B, Methodological, Aug. 2021, v. 150, p. 143-160
Abstract: In this study, we propose a container slot allocation problem for a liner shipping service. A liner containership provides a regular shipping service with a fixed itinerary and schedule. In practice, the liner containership may not be fully loaded, which results in a loss of revenue. We therefore segment shippers into two classes: contract shippers and spot shippers. A contract shipper has a contract with the shipping company and negotiates a fixed minimum quantity, so that the shipping company can secure a steady revenue. The remaining containership slots are open to spot shippers, allowing the shipping company to obtain ad hoc revenue. The container slot allocation problem is investigated in this study using a two-stage stochastic mixed-integer nonlinear programming model. We use the sample average approximation based on Lagrangian relaxation and dual decomposition techniques to effectively solve the model. Finally, we conduct a case study to evaluate the applicability and effectiveness of the proposed model and the solution algorithm.
Keywords: Container slot allocation
Lagrangian relaxation and dual decomposition
Sample average approximation
Two-stage stochastic mixed-integer nonlinear programming
Publisher: Pergamon Press
Journal: Transportation research. Part B, Methodological 
ISSN: 0191-2615
EISSN: 1879-2367
DOI: 10.1016/j.trb.2021.04.016
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