With the growing popularity of cruise tourism, the issue of comprehensive and precise cruise management is emphasized by the industrial field, which demands effective strategies in both tactical-level cruise deployment and operational-level itinerary scheduling. This rising concern and the expectation of integrated decision, however, increase the complexity of the problem and the difficulty of optimization. This paper provides a cohesive framework and scalable algorithms for the integrated cruise fleet deployment and itinerary scheduling problem. First, to address this problem, we propose an integer programming model based on a time-expanded network that captures the movement dynamics of cruises over a planning horizon. Several problem-specific reformulations including cumulative-flow-based variables and route-based time-expanded network representation are introduced, based on which, we prove that the itinerary scheduling problem is totally unimodular and the integer variables can be relaxed. Second, we introduce a tailored Benders decomposition approach augmented by the simultaneous Magnanti–Wong method, where a valid and pre-obtainable Magnanti–Wong bound is designed, yielding Pareto-optimal cuts in small computation time in each iteration. Finally, we validate our approach using extensive numerical experiments on both simulation instances and a real case study. The results demonstrate the effectiveness of our integrated solving scheme and the practical applicability of our advanced decomposition method, marking a significant advancement in the field of cruise fleet management.
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