Reliability of Maritime Transportation Networks under Multistate Sailing Time Conditions  
Author

Thi-Phuong Nguyen

 

Co-Author(s)

Thi-Thom Hoang

 

Abstract This study develops a network reliability evaluation framework for container shipping networks under multistate leg capacity and sailing time. In practice, conventional binary state or deterministic time models can be insufficient for realistic reliability assessment in maritime networks because transit time varies due to disruptions and capacity degrades. To address this limitation, this study formulates a multistate maritime network (MMN) model in which arc capacity and sailing time are represented as multistate variables. The proposed framework adopts arc capacity, sailing time and delivery time requirements directly into the definition of a successful network. The set of feasible flow vectors must satisfy the given demand under time constraints. Then, network reliability is computed exactly as a union probability of these flow vectors by using a recursive sum of disjoint products (RSDP). Results indicate that explicitly modeling multistate capacity and multistate sailing time yields a more realistic assessment of delivery capability under operational variability.

 

Keywords maritime transportation network, reliability, multistate sailing time, time constraint
   
    Article #:  RQD2026-50
 

Proceedings of 31st ISSAT International Conference on Reliability & Quality in Design
August 5-7, 2026