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Title: Optimal refund policy design for ship berthing appointment mechanism
Authors: Wang, H 
Liu, Y 
Du, Y
Wang, S 
Issue Date: Apr-2025
Source: Annals of operations research, Apr. 2025, v. 347, no. 3, p. 1643-1670
Abstract: Seaports, the nodal and bottleneck points in the global supply chain network, have been making effort to encourage shipping companies to book berths before ships arrive at the ports. The information and communication technology (ICT) system is essential for the success of this effort. We propose an appointment mechanism with a refund policy for the berth booking ICT system to mitigate port congestion. Two refund policies are investigated: cash refund policy and coupon refund policy. We develop a bi-level model that considers the interests of the port and shipping companies, with which the cash refund policy determines its optimal booking fee and the returned cash, and the coupon refund policy determines its optimal booking fee, the value of the coupon, and the shelf life of the coupon. Numerical experiments are conducted to analyze the two refund policies, the reactions of shipping companies with different characteristics, and how the port takes advantage of the characteristics of shipping companies to maximize profit. The proposed appointment mechanism achieves a win-win performance for the port and shipping companies as it increases the income of the port and reduces the delay cost of shipping companies. This study innovatively investigates the refund policy for the berth booking system and helps understand the mechanism of the system, thereby providing theoretical support for applying the berth booking system in the maritime industry. Moreover, this study contributes to alleviating port congestion and to environmental sustainability by reducing ship emissions caused by waiting at port and inappropriate sailing speed.
Keywords: Berth booking system
Global supply chain
Port congestion
Refund policy
Sustainable operations management
Publisher: Springer New York LLC
Journal: Annals of operations research 
ISSN: 0254-5330
EISSN: 1572-9338
DOI: 10.1007/s10479-024-06318-5
Rights: © The Author(s) 2024
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
The following publication Wang, H., Liu, Y., Du, Y. et al. Optimal refund policy design for ship berthing appointment mechanism. Ann Oper Res 347, 1643–1670 (2025) is available at https://doi.org/10.1007/s10479-024-06318-5.
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