2017
DOI: 10.1007/s10100-017-0489-4
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Computing strong lower and upper bounds for the integrated multiple-depot vehicle and crew scheduling problem with branch-and-price

Abstract: In the problem of the title, vehicle and crew schedules are to be determined simultaneously in order to satisfy a given set of trips over time. The vehicles and the crew are assigned to depots, and a number of rules have to be observed in the course of constructing feasible schedules. The main contribution of the paper is a novel mathematical programming formulation which combines ideas from known models, and an exact solution procedure based on branch-and-price.The method is tested on benchmark instances from… Show more

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Cited by 23 publications
(8 citation statements)
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References 30 publications
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“…Valid inequality & CPLEX [46] MCF & SC - [47,48] MCF & SC Decomposition approach [6] MCF & SP Heuristic [2] TSF & SP Column generation & Lagrangian relaxation [49] (Considering delays), [50] TSF & path-based formulations Lagrangian heuristic [51] TSF & SP Branch and price [52] TSF Matheuristic [53] CM Simulated annealing [54] CM Greedy randomized adaptive search [55] CM Variable neighborhood search [3] (considering the crew's reliability) CM Variable neighborhood search [56] based on MCF. Section 4 presents the EVCSP model and provides some statements.…”
Section: Mcf and Spmentioning
confidence: 99%
“…Valid inequality & CPLEX [46] MCF & SC - [47,48] MCF & SC Decomposition approach [6] MCF & SP Heuristic [2] TSF & SP Column generation & Lagrangian relaxation [49] (Considering delays), [50] TSF & path-based formulations Lagrangian heuristic [51] TSF & SP Branch and price [52] TSF Matheuristic [53] CM Simulated annealing [54] CM Greedy randomized adaptive search [55] CM Variable neighborhood search [3] (considering the crew's reliability) CM Variable neighborhood search [56] based on MCF. Section 4 presents the EVCSP model and provides some statements.…”
Section: Mcf and Spmentioning
confidence: 99%
“…In their model, an integrated mathematical formulation was given in such a way that both sub-tasks were defined as set partition problems. The vehicle scheduling part is based on the model given by Ribeiro and Soumis [27], while the driver scheduling part uses the ideas of Desrochers and Soumis [28]. In the multi-depot case, first Gaffi et al [29] discussed the integrated problem, using a heuristic method.…”
Section: Literature Reviewmentioning
confidence: 99%
“…For example, in the CPS in [68], attendance rates were studied. A CSP integration with the vehicle scheduling problem was developed in [69]. In [70], an application of the CSP with fairness preferences was explored.…”
Section: Real-world Applicationmentioning
confidence: 99%