Abstract
It is very significant for a reasonable vehicle routing and scheduling in city airport shuttle service to decrease operational costs and increase passenger satisfaction. Most of the existing reports for such problems assumed that the travel time was invariable. However, the ever-increasing traffic congestion often makes it variable. In this study, considering the time-varying networks, a vehicle routing and scheduling method is proposed, where the time-varying feature enables the traveler to select a direction among all the Pareto-optimal paths at each node in response to the knowledge of the time window demands. Such Pareto-optimal paths are referred to hyperpaths herein. To obtain the hyperpaths, an exact algorithm is designed in this study for addressing the bi-criteria shortest paths problem, where the travel time comes to be discontinuous time-varying. Given the techniques that generate all Pareto-optimal solutions exhibiting exponential worst-case computational complexity, embedded in the exact algorithm, a computationally efficient bound strategy is reported on the basis of passenger locations, pickup time windows and arrival time windows. As such, the vehicle routing and scheduling problem viewed as an arc selection model can be solved by a proposed heuristic algorithm combined with a dynamic programming method. A series of experiments by using the practical pickup data indicate that the proposed methods can obtain cost-saving schedules under the condition of time-varying travel times.











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Bao Y, Tang JF, Liu LL (2011) Clustering algorithm for minimizing vehicle number of airport pickup and delivery service. Comput Integr Manuf Syst 17(2):442–447
Black D, Eglese R, Wøhlk S (2015) The time-dependent multiple-vehicle prize-collecting arc routing problem. (unpublished work)
Demeyer S et al (2013) Speeding up Martins’ algorithm for multiple objective shortest path problems. 4OR-A Q J Oper Res 11(4):323–348
Dong G et al (2008) Minimizing costs model and algorithm of free pickup and delivery customers to airport service. J Syst Eng 23(4):437–443
Dong G et al (2011) An exact algorithm for vehicle routing and scheduling problem of free pickup and delivery service in flight ticket sales companies based on set-partitioning model. J Intell Manuf 22(5):789–799
Fernandez-Marquez JL, Serugendo GDM, Montagna S et al (2013) Description and composition of bio-inspired design patterns: a complete overview[J]. Nat Comput 12(1):43–67
Figliozzi MA (2010) An iterative route construction and improvement algorithm for the vehicle routing problem with soft time windows[J]. Transp Res Part C Emerg Technol 18(5):668–679
Garaix T et al (2010) Vehicle routing problems with alternative paths: an application to on-demand transportation. Eur J Oper Res 204(1):62–75
Gendreau M, Ghiani G, Guerriero E (2015) Time-dependent routing problems: a review[J]. Comput Oper Res 64:189–197
Lecluyse C, Sörensen K, Peremans H (2013) A network-consistent time-dependent travel time layer for routing optimization problems[J]. Eur J Oper Res 226(3):395–413
Marinakis Y, Marinaki M, Dounias G (2010) Honey bees mating optimization algorithm for large scale vehicle routing problems[J]. Nat Comput 9(1):5–27
Martins EQV (1984) On a multicriteria shortest path problem. Eur J Oper Res 16(2):236–245
Mouthuy S, Massen F, Deville Y et al (2015) A multistage very large-scale neighborhood search for the vehicle routing problem with soft time windows[J]. Transp Sci 49(2):223–238
Opasanon S, Miller-Hooks E (2006) Multicriteria adaptive paths in stochastic, time-varying networks. Eur J Oper Res 173(1):72–91
Pascoal M et al (2013) Bicriteria path problem minimizing the cost and minimizing the number of labels. 4OR 11(3):275–294
Ravizza S et al (2013) The trade-off between taxi time and fuel consumption in airport ground movement. Public Transp 5(1–2):25–40
Tang J et al (2008) Multi-objective model and algorithm of free pickup customer and delivery to airport service. J Manag Sci China 11(6):35–42
Tang J et al (2009) Vehicle routing problem with fuzzy time windows. Fuzzy Sets Syst 160(5):683–695
Tang J, Yu Y, Li J (2015) An exact algorithm for the multi-trip vehicle routing and scheduling problem of pickup and delivery of customers to the airport. Transp Res Part E Logist Transp Rev 73:114–132
Taş D, Gendreau M, Jabali O et al (2016) The traveling salesman problem with time-dependent service times[J]. Eur J Oper Res 248(2):372–383
Wang L, Tang J (2010) Application of BP Neural Network in Exhaust Emission Estimatation of CAPS. Lect Note Comput Sci 312–320
Wen L, Catay B, Eglese R (2014) Finding a minimum cost path between a pair of nodes in a time-varying road network with a congestion charge. Eur J Oper Res 236(3):915–923
Xu Z, Tang J (2013) An algorithm to vehicle scheduling problem of airport pickup and delivery service. Ibusiness 05(3B):84–89
Xu Z, Tang J (2014) A coordination-based two-stage algorithm for pickup and delivery of customers to airport. Proceedings of the Seventh International Conference on Management Science and Engineering Management. J. Xu, J. A. Fry, B. Lev and A. Hajiyev, Springer Berlin Heidelberg. 242: 815–826
Xu Z, Tang J (2014) Customer point collaboration-based multi-trip vehicle scheduling algorithm to pickup and delivery service to airport. The 26th Chinese Control and Decision Conference (2014 CCDC), 4892–4896
Xu J, Yan F, Li S (2011) Vehicle routing optimization with soft time windows in a fuzzy random environment. Transp Res Part E Logist Transp Rev 47(6):1075–1091
Yu B, Yang ZZ (2011) An ant colony optimization model: the period vehicle routing problem with time windows[J]. Transp Res Part E Logist Transp Rev 47(2):166–181
Zang X, Zhou W (2010) Theoretic capacity model based on variable space headway. J Highw Transp Res Dev 27(2):103–113
Acknowledgements
This work is supported by the National Natural Sciences Foundation of China (61273037, 61304213, 61473056), and the National Key Technology R&D Program (2015BAF22B01), the Fundamental Research Funds of the Central Universities (DUT14RC(3)130) and the Fundamental Research Funds of the Central Universities (DUT15YQ113).
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Linqing, W., Jun, Z. & Wei, W. Hyperpath-based vehicle routing and scheduling method in time-varying networks for airport shuttle service. Nat Comput 18, 769–784 (2019). https://doi.org/10.1007/s11047-016-9603-0
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DOI: https://doi.org/10.1007/s11047-016-9603-0