This paper addresses the capacitated hub-and-spoke airline network design problem under disruption. Specifically, this paper extends the classical hub-and-spoke airline network design problem by considering hub (airport) capacity and various disruption risks. In particular, this paper proposes a backup hub strategy to protect the designed airline network against the disruption risk. This paper formulates a mixed-integer nonlinear programming (MINLP) model for the considered problem for minimizing the sum of the construction cost of the backup hubs and the expected total transportation cost of the new airline network formed by backup hubs after disruption. Through a series of numerical experiments based on a simulated example, this paper verifies the practical value for the capacity constraints of the hub airports to enhance the ex-ante resilience. This paper also conducts sensitivity analysis on inter-hub discount factor and probability of hub disruption to provide managerial implications for airline company.
This paper introduces the multimodal capacitated hub location problem with multiple demand classes for the many-to many transportation and distribution systems. This problem integrates multiple practical features of the hub location problems by considering multiple allocation, multimodal transportation, capacity at hubs, delivery-time limits and multiclass demands. The proposed problem aims to minimize the total cost containing the fixed cost of establishing hubs with different modes and the routing cost of commodities with different classes between the origin-destination pairs. Finally, a mixed-integer linear programming model for the proposed problem via a linearization technique is formulated and the computational experiments are carried out based on the well-studied Turkish network.
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