The route problem of multimodal transportation with timetable under uncertainty: multi-objective robust optimization model and heuristic approach

نویسندگان

چکیده

The uncertainty of transportation duration between nodes is an inherent characteristic and should be concerned in the routing optimization multimodal network to guarantee reliability delivery time. interval number used deal with duration, multi-objective robust model established which covers cost. To solve combinatorial problem this study, Non-Dominated Sorting Genetic Algorithm-II (NSGA-II) designed, integrates ( ? + ? ) selection method elite retention external filing retention. Our findings verify efficiency proposed approach by analyzing diversity, distribution convergence frontier solutions. Finally, near-optimal solutions are obtained algorithm numerical example. present study can provide decision reference for carriers making plan under uncertainty.

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ژورنال

عنوان ژورنال: Rairo-operations Research

سال: 2021

ISSN: ['1290-3868', '0399-0559']

DOI: https://doi.org/10.1051/ro/2020110