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2021 | OriginalPaper | Chapter

Scheduling Periodical Deliveries from a Distribution Centre to Minimize the Fleet Size

Authors : Jiyin Liu, Aiying Rong

Published in: Collaborative Logistics and Intermodality

Publisher: Springer International Publishing

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Abstract

This chapter studies the delivery problem in which a distribution center delivers goods to customers periodically. Each customer has a specified delivery frequency. The deliveries to the same customer must be spaced over time as evenly as possible. The objective is to minimize the fleet size. We start from the special version with customers requiring the same delivery frequency, and propose a routing-then-scheduling approach: a routing problem for making one delivery to every customer is first solved and the resulting routes are then scheduled over the period. The study mainly focuses on the scheduling of the routes. Feasibility and optimality of the solution are analyzed. Based on the analysis, we develop a general integer programming model and a two-stage method for the problem with different delivery frequencies. Numerical experiments show that both methods solve the problem quickly. However, the delivery patterns generated by the two-stage models are more stable.

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Literature
go back to reference Achuthan, N. R., Caccetta, L., & Hill, S. P. (1998). Capacitated vehicle routing problem; some new cutting planes. Asian-Pacific Journal of Operational Research, 15, 109–123. Achuthan, N. R., Caccetta, L., & Hill, S. P. (1998). Capacitated vehicle routing problem; some new cutting planes. Asian-Pacific Journal of Operational Research, 15, 109–123.
go back to reference Alegre, J., Laguna, M., & Pacheco, J. (2007). Optimizing the periodic pick-up of raw materials for a manufacture of auto part. European Journal of Operational Research, 179, 736–746.CrossRef Alegre, J., Laguna, M., & Pacheco, J. (2007). Optimizing the periodic pick-up of raw materials for a manufacture of auto part. European Journal of Operational Research, 179, 736–746.CrossRef
go back to reference Alonso, F., Alvarez, M. J., & Beasley, J. E. (2008). A tabu search algorithm for the periodic vehicle routing problem with multiple vehicle trips and accessibility restrictions. Journal of the Operational Research Society, 59, 963–976.CrossRef Alonso, F., Alvarez, M. J., & Beasley, J. E. (2008). A tabu search algorithm for the periodic vehicle routing problem with multiple vehicle trips and accessibility restrictions. Journal of the Operational Research Society, 59, 963–976.CrossRef
go back to reference Archetti, C., Fernández, E., & Huerta-Muñoz, D. L. (2017). The flexible periodic vehicle routing problem. Computers and Operations Research, 85, 58–70.CrossRef Archetti, C., Fernández, E., & Huerta-Muñoz, D. L. (2017). The flexible periodic vehicle routing problem. Computers and Operations Research, 85, 58–70.CrossRef
go back to reference Ball, M. (1988). Allocating/routing: models and algorithms. In B. L. Golden & A. A. Assad (Eds.), Vehicle routing: Methods and studies. Amsterdam: North-Holland. Ball, M. (1988). Allocating/routing: models and algorithms. In B. L. Golden & A. A. Assad (Eds.), Vehicle routing: Methods and studies. Amsterdam: North-Holland.
go back to reference Banerea-Brodeur, M., Cordeaul, J.-F., Laporte, G., & Lasry, A. (1998). Scheduling linen deliveries in a large hospital. Journal of the Operational Research Society, 49, 777–780.CrossRef Banerea-Brodeur, M., Cordeaul, J.-F., Laporte, G., & Lasry, A. (1998). Scheduling linen deliveries in a large hospital. Journal of the Operational Research Society, 49, 777–780.CrossRef
go back to reference Bell, W. J., Dalberto, L. M., Fisher, M. L., Greenfield, A. J., Jaikumar, R., Kedia, P., Mack, R. G., & Prutzman, P. J. (1983). Improving the distribution of industrial gases with an on-line computerized routing and scheduling optimizer. Interfaces, 13, 4–23.CrossRef Bell, W. J., Dalberto, L. M., Fisher, M. L., Greenfield, A. J., Jaikumar, R., Kedia, P., Mack, R. G., & Prutzman, P. J. (1983). Improving the distribution of industrial gases with an on-line computerized routing and scheduling optimizer. Interfaces, 13, 4–23.CrossRef
go back to reference Beltrami, E. J., & Bodin, L. D. (1974). Networks and vehicle routing for municipal waste collection. Networks, 4, 65–94.CrossRef Beltrami, E. J., & Bodin, L. D. (1974). Networks and vehicle routing for municipal waste collection. Networks, 4, 65–94.CrossRef
go back to reference Bommisetty, D., Dessouky, M., & Jacobs, L. (1998). Scheduling collection of recyclable material at Northern Illinois University Campus using a two-phase algorithm. Computers and Industrial Engineering, 35, 435–438.CrossRef Bommisetty, D., Dessouky, M., & Jacobs, L. (1998). Scheduling collection of recyclable material at Northern Illinois University Campus using a two-phase algorithm. Computers and Industrial Engineering, 35, 435–438.CrossRef
go back to reference Cacchiani, V., Hemmelmayr, V. C., & Tricoire, F. (2014). A set-covering based heuristic algorithm for the periodic vehicle routing problem. Discrete Applied Mathematics, 163, 53–64.CrossRef Cacchiani, V., Hemmelmayr, V. C., & Tricoire, F. (2014). A set-covering based heuristic algorithm for the periodic vehicle routing problem. Discrete Applied Mathematics, 163, 53–64.CrossRef
go back to reference Chao, I. M., Golden, B. L., & Wasil, E. (1995). An improved heuristic for the period vehicle routing problem. Networks, 26, 25–44.CrossRef Chao, I. M., Golden, B. L., & Wasil, E. (1995). An improved heuristic for the period vehicle routing problem. Networks, 26, 25–44.CrossRef
go back to reference Christofides, N., & Beasley, J. E. (1984). The period routing problem. Networks, 14, 237–256.CrossRef Christofides, N., & Beasley, J. E. (1984). The period routing problem. Networks, 14, 237–256.CrossRef
go back to reference Christofides, N., & Eilon, S. (1969). An algorithm for the vehicle dispatching problem. Operational Research Quarterly, 20, 309–318.CrossRef Christofides, N., & Eilon, S. (1969). An algorithm for the vehicle dispatching problem. Operational Research Quarterly, 20, 309–318.CrossRef
go back to reference Coene, S., Arnout, A., & Spieksma, F. C. R. (2010). On a periodic vehicle routing problem. Journal of the Operational Research Society, 61, 1719–1728.CrossRef Coene, S., Arnout, A., & Spieksma, F. C. R. (2010). On a periodic vehicle routing problem. Journal of the Operational Research Society, 61, 1719–1728.CrossRef
go back to reference Cordeau, J. F., Gendreau, M., & Laporte, G. (1997). A tabu search heuristic for periodic and multi-depot vehicle routing problems. Networks, 30, 105–119.CrossRef Cordeau, J. F., Gendreau, M., & Laporte, G. (1997). A tabu search heuristic for periodic and multi-depot vehicle routing problems. Networks, 30, 105–119.CrossRef
go back to reference Dror, M., & Ball, M. (1987). Inventory/routing: Reduction from an annual to a short-period problem. Naval Research Logistics, 34, 891–905.CrossRef Dror, M., & Ball, M. (1987). Inventory/routing: Reduction from an annual to a short-period problem. Naval Research Logistics, 34, 891–905.CrossRef
go back to reference Drummond, L. M. A., Ochi, L. S., & Vianna, D. S. (2001). An asynchronous parallel metaheuristic for the period vehicle routing problem. Future Generation Computer Systems, 17, 379–386.CrossRef Drummond, L. M. A., Ochi, L. S., & Vianna, D. S. (2001). An asynchronous parallel metaheuristic for the period vehicle routing problem. Future Generation Computer Systems, 17, 379–386.CrossRef
go back to reference Eilon, S., Watson-Dandy, C. D. T., & Christofides, N. (1971). Distribution management: Mathematical modelling and practical analysis. London: Griffin. Eilon, S., Watson-Dandy, C. D. T., & Christofides, N. (1971). Distribution management: Mathematical modelling and practical analysis. London: Griffin.
go back to reference Francis, P., Smilowitz, K., & Tzur, M. (2007). Flexibility and complexity in periodic distribution problems. Naval Research Logistics, 54, 136–150.CrossRef Francis, P., Smilowitz, K., & Tzur, M. (2007). Flexibility and complexity in periodic distribution problems. Naval Research Logistics, 54, 136–150.CrossRef
go back to reference Gaudioso, M., & Paletta, G. (1992). A heuristic for the periodic vehicle routing problem. Transportation Science, 26, 86–92.CrossRef Gaudioso, M., & Paletta, G. (1992). A heuristic for the periodic vehicle routing problem. Transportation Science, 26, 86–92.CrossRef
go back to reference Golden, B. L., & Wasil, E. A. (1987). Computerized vehicle routing in the soft drink industry. Operations Research, 35, 6–17.CrossRef Golden, B. L., & Wasil, E. A. (1987). Computerized vehicle routing in the soft drink industry. Operations Research, 35, 6–17.CrossRef
go back to reference Michallet, J., Prins, C., Amodeo, L., Yalaoui, F., & Vitry, G. (2014). Multi-start iterated local search for the periodic vehicle routing problem with time windows and time spread constraints on services. Computers & Operations Research, 41, 196–207.CrossRef Michallet, J., Prins, C., Amodeo, L., Yalaoui, F., & Vitry, G. (2014). Multi-start iterated local search for the periodic vehicle routing problem with time windows and time spread constraints on services. Computers & Operations Research, 41, 196–207.CrossRef
go back to reference Nguyen, P. K., Crainic, T. G., & Toulouse, M. (2014). A hybrid generational genetic algorithm for the periodic vehicle routing problem with time windows. Journal of Heuristics, 20, 383–416.CrossRef Nguyen, P. K., Crainic, T. G., & Toulouse, M. (2014). A hybrid generational genetic algorithm for the periodic vehicle routing problem with time windows. Journal of Heuristics, 20, 383–416.CrossRef
go back to reference Rahimi-Vahed, A., Crainic, T. G., Gendreau, M., & Rei, W. (2013). A path relinking algorithm for a multi-depot periodic vehicle routing problem. Journal of Heuristics, 19, 497–524.CrossRef Rahimi-Vahed, A., Crainic, T. G., Gendreau, M., & Rei, W. (2013). A path relinking algorithm for a multi-depot periodic vehicle routing problem. Journal of Heuristics, 19, 497–524.CrossRef
go back to reference Rahimi-Vahed, A., Crainic, T. G., Gendreau, M., & Rei, W. (2015). Fleet-sizing for multi-depot and periodic vehicle routing problems using a modular heuristic algorithm. Computers & Operations Research, 53, 9–23.CrossRef Rahimi-Vahed, A., Crainic, T. G., Gendreau, M., & Rei, W. (2015). Fleet-sizing for multi-depot and periodic vehicle routing problems using a modular heuristic algorithm. Computers & Operations Research, 53, 9–23.CrossRef
go back to reference Russell, R. A., & Gribbin, D. (1991). A multiphase approach to the period routing problem. Networks, 21, 747–765.CrossRef Russell, R. A., & Gribbin, D. (1991). A multiphase approach to the period routing problem. Networks, 21, 747–765.CrossRef
go back to reference Shih, L. H., & Chang, H. C. (2001). A routing and scheduling system for infectious waste collection. Environmental Modeling & Assessment, 6, 261–269.CrossRef Shih, L. H., & Chang, H. C. (2001). A routing and scheduling system for infectious waste collection. Environmental Modeling & Assessment, 6, 261–269.CrossRef
go back to reference Shih, L. H., & Lin, Y. T. (1999). Optimal routing for infectious waste collection. Journal of Environmental Engineering-ASCE, 125, 479–484.CrossRef Shih, L. H., & Lin, Y. T. (1999). Optimal routing for infectious waste collection. Journal of Environmental Engineering-ASCE, 125, 479–484.CrossRef
go back to reference Tan, C. C. R., & Beasley, J. E. (1984). A heuristic algorithm for the period vehicle routing problem. OMEGA, 12, 497–504.CrossRef Tan, C. C. R., & Beasley, J. E. (1984). A heuristic algorithm for the period vehicle routing problem. OMEGA, 12, 497–504.CrossRef
go back to reference Vanderbeck, F. (1999). Computational study of a column generation algorithm for bin packing and cutting stock problems. Mathematical Programming, 86, 565–594.CrossRef Vanderbeck, F. (1999). Computational study of a column generation algorithm for bin packing and cutting stock problems. Mathematical Programming, 86, 565–594.CrossRef
Metadata
Title
Scheduling Periodical Deliveries from a Distribution Centre to Minimize the Fleet Size
Authors
Jiyin Liu
Aiying Rong
Copyright Year
2021
DOI
https://doi.org/10.1007/978-3-030-50958-3_9