Exact resolution of a simultaneous vehicle routing and crew scheduling problem in long-haul transport

Fuente: arXiv
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Main Authors: Lucci, Mauro, Severin, Daniel, Zabala, Paula
Format: Preprint
Published: 2024
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author Lucci, Mauro
Severin, Daniel
Zabala, Paula
author_facet Lucci, Mauro
Severin, Daniel
Zabala, Paula
contents This work focuses on exact methods for a Simultaneous Vehicle Routing and Crew Scheduling Problem in long-haul transport. Pickup-and-delivery requests with time windows must be fullfiled over a multi-day planning horizon. Unlike some classic approaches, the correspondence between trucks and drivers is not fixed and they can be exchanged in some locations and at any time. Drivers can also travel for free as truck passengers or take external taxis for an additional cost. The objective is to minimise the truck and taxi travel costs and the penalties for late deliveries. Routes for trucks and drivers are represented separately as directed paths in certain digraphs and then synchronised in time and space. Three compact Integer Linear Programming formulations are proposed and many families of valid inequalities are described. Extensive computational experiments are conducted on randomly generated instances. The formulations are experimentally compared and the effectiveness of the proposed valid inequalities as cutting planes in a branch-and-cut algorithm is evaluated.
format Preprint
id arxiv_https___arxiv_org_abs_2405_20123
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Exact resolution of a simultaneous vehicle routing and crew scheduling problem in long-haul transport
Lucci, Mauro
Severin, Daniel
Zabala, Paula
Optimization and Control
This work focuses on exact methods for a Simultaneous Vehicle Routing and Crew Scheduling Problem in long-haul transport. Pickup-and-delivery requests with time windows must be fullfiled over a multi-day planning horizon. Unlike some classic approaches, the correspondence between trucks and drivers is not fixed and they can be exchanged in some locations and at any time. Drivers can also travel for free as truck passengers or take external taxis for an additional cost. The objective is to minimise the truck and taxi travel costs and the penalties for late deliveries. Routes for trucks and drivers are represented separately as directed paths in certain digraphs and then synchronised in time and space. Three compact Integer Linear Programming formulations are proposed and many families of valid inequalities are described. Extensive computational experiments are conducted on randomly generated instances. The formulations are experimentally compared and the effectiveness of the proposed valid inequalities as cutting planes in a branch-and-cut algorithm is evaluated.
title Exact resolution of a simultaneous vehicle routing and crew scheduling problem in long-haul transport
topic Optimization and Control
url https://arxiv.org/abs/2405.20123