A Branch-Cut-and-Price Approach for the Single-Trip and Multi-Trip Two-Echelon Vehicle Routing Problem with Time Windows

نویسندگان

چکیده

The paper studies the two-echelon capacitated vehicle routing problem with time windows, in which delivery of freight from depots to customers is performed using intermediate facilities called satellites. We consider variant precedence constraints for unloading and loading at In this allows storage consolidation Thus, total transportation cost may decrease comparison alternative exact synchronization suggest a mixed integer programming formulation an exponential number route variables that link first-echelon second-echelon routes. Routes second echelon connecting satellites clients consist multiple trips visit several A branch-cut-and-price algorithm proposed solve efficiently problem. This first literature multi-trip also present postprocessing procedure check whether solution can be transformed avoid without increasing its cost. It shown all single-trip instances solved optimality admit optimal solutions same both variants either or constraints. Experimental results reveal our used these significantly faster than another recent approach literature.

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ژورنال

عنوان ژورنال: Transportation Science

سال: 2022

ISSN: ['0041-1655', '1526-5447']

DOI: https://doi.org/10.1287/trsc.2022.1136