In case of disruption to the liner-shipping schedule, vessels cannot arrive at port calls on schedule, which creates a loss in service quality and credibility with a simultaneous increase in operating costs. Liner-shipping companies usually adopt two significant strategies: speeding up and skipping port calls to reduce such issues. This paper presents a mixed-integer nonlinear programming model for the simultaneous use of speed-up and port-skipping strategies for schedule recovery. The model, by taking into consideration lost revenue and the costs of transshipment for skipped ports, departs from the traditional cost-minimization approach by prioritizing profit maximization. It incorporates strategies for speed-up and port-skipping with loading and unloading variables in the process of optimally determining port calls as per demand and profitability. Decision variables on alternative port selections allow multiport alternatives that consider delays and transshipment costs. The nonlinear model is linearized using exact and approximate techniques and solved using CPLEX software. For large-scale cases, a self-learning particle swarm optimization algorithm is employed. Several test problems demonstrate the effectiveness of the metaheuristic. A real-world case is used to validate the model, showing its capability to derive optimal routes and schedules through the concurrent use strategies. The results show that the proposed model minimizes time deviations and operational losses. Moreover, sensitivity analysis highlights that while speed-up is adequate for shorter delays and less viable with high fuel costs, skipping strategies complement speed-up under significant delays, reinforcing the importance of integrated recovery strategies to address disruptions in the maritime transportation industry.
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