Abstract
In the Periodic Vehicle Routing Problem (PVRP), in which scheduling of the fleet of vehicles is based on constituting the timetable for the passage of individual vehicles along the planned routes, the imprecise nature of transport/service operation times implies the need to take into account the fact that the accumulating uncertainty of previously performed operations results in increased uncertainty of timely execution of subsequent operations. In the article, the authors pose the question as to the method of avoiding additional uncertainty introduced during aggregating uncertain operation execution deadlines. Due to the above fact, an algebraic model for calculating fuzzy schedules for individual vehicles, and for planning time buffers enabling the adjustment of the currently calculated fuzzy schedules is developed. The model uses Ordered Fuzzy Numbers (OFNs) to conduct the uncertainty of times. The advantage of using the OFNs formalism for algebraic operations is non-expanding of fuzzy number support. However, the possibility of carrying out algebraic operations is limited to selected domains of computability of these supports. Due to this fact a constraint satisfaction problem framework has been adapted. The conducted research demonstrated that the proposed approach allows to develop conditions following the calculability of arithmetic operations of OFNs and guarantee interpretability of results obtained.
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Bansal, S., Goel, R., Katiyar, V.: A novel method to handle route failure in fuzzy vehicle routing problem with hard time windows and uncertain demand. Int. J. Adv. Oper. Manag. 9(3), 169–187 (2017). https://doi.org/10.1504/IJAOM.2017.088243
Bocewicz, G., Banaszak, Z., Rudnik, K., Witczak, M., Smutnicki, C., Wikarek, J.: Milk-run routing and scheduling subject to fuzzy pickup and delivery time constraints: an ordered fuzzy numbers approach (2020). https://doi.org/10.1109/FUZZ48607.2020.9177733
Bocewicz, G., Nielsen, I., Banaszak, Z.: Production flows scheduling subject to fuzzy processing time constraints. Int. J. Comput. Integr. Manuf. 29(10), 1105–1127 (2016). https://doi.org/10.1080/0951192X.2016.1145739
Braekers, K., Ramaekers, K., Van Nieuwenhuyse, I.: The vehicle routing problem: state of the art classification and review. Comput. Ind. Eng. 99, 300–313 (2016). https://doi.org/10.1016/j.cie.2015.12.007
Ghannadpour, S., Simak, N., Reza, T., Keivan, G.: A multi-objective dynamic vehicle routing problem with fuzzy time windows: model, solution and application. Appl. Soft Comput. 14, 504–527 (2014). https://doi.org/10.1016/j.asoc.2013.08.015
Hanshar, F., Ombuki-Berman, B.: Dynamic vehicle routing using genetic algorithms. Appl. Intell. 27(1), 89–99 (2009). https://doi.org/10.1007/s10489-006-0033-z
Holborn, P.: Heuristics for dynamic vehicle routing problems with pickups and deliveries and time windows. Cardiff University, School of Mathematics, School of Mathematics (2013)
Khairuddin, S., Hasan, M., Hashmani, A., Azam, M.: Generating clustering-based interval fuzzy type-2 triangular and trapezoidal membership functions: a structured literature review. Symmetry 13(2) (2021). https://doi.org/10.3390/sym13020239
Khosiawan, Y., Scherer, S., Nielsen, I.: Toward delay-tolerant multiple-unmanned aerial vehicle scheduling system using multi-strategy coevolution algorithm. Adv. Mech. Eng. 10(12) (2018). https://doi.org/10.1177/1687814018815235
Kilic, H., Durmusoglu, M., Baskak, M.: Classification and modeling for in-plant milk-run distribution systems. Int. J. Adv. Manuf. Technol. 62(9), 1135–1146 (2012). https://doi.org/10.1007/s00170-011-3875-4
Kosinski, W., Prokopowicz, P., Slezak, D.: On algebraic operations on fuzzy numbers. In: Kłopotek, M.A., Wierzchoń, S.T., Trojanowski, K. (eds.) Intelligent Information Processing and Web Mining. Advances in Soft Computing, vol. 22. Springer, Heidelberg (2003). https://doi.org/10.1007/978-3-540-36562-4_37
Liu, C., Huang, F.: Hybrid heuristics for vehicle routing problem with fuzzy demands. In: Third International Joint Conference on Computational Sciences and Optimization (CSO 2010), Huangshan (2010)
Meyer, A.: Milk run design (definitions, concepts and solution approaches). Ph.D. thesis, Institute of Technology. Fakultät für Mas-chinenbau, KIT Scientific Publishing (2015)
Mor, A., Speranza, M.G.: Vehicle routing problems over time: a survey. 4OR 18(1), 44–61 (2020). https://doi.org/10.1007/s10288-020-00433-2
Nucci, F.: Multi-shift single-vehicle routing problem under fuzzy uncertainty. In: Kahraman, C., Cevik Onar, S., Oztaysi, B., Sari, I.U., Cebi, S., Tolga, A.C. (eds.) INFUS 2020. AISC, vol. 1197, pp. 1620–1627. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-51156-2_189
Okulewicz, M., Mańdziuk, J.: A metaheuristic approach to solve dynamic vehicle routing problem in continuous search space. Swarm Evol. Comput. 48, 44–61 (2019). https://doi.org/10.1016/j.swevo.2019.03.008
Pavone, M., Bisnik, N., Frazzoli, E., Isler, V.: A stochastic and dynamic vehicle routing problem with time windows and customer impatience. Mobile Netw. Appl. 14(3) (2008). https://doi.org/10.1007/s11036-008-0101-1
Pillac, V., Gendreau, M., Guéret, C., Medaglia, A.: A review of dynamic vehicle routing problems. Eur. J. Oper. Res. 225(1), 1–11 (2013). https://doi.org/10.1016/j.ejor.2012.08.015
Polak-Sopinska, A.: Incorporating human factors in in-plant milk run system planning models. In: Ahram, T., Karwowski, W., Taiar, R. (eds.) IHSED 2018. AISC, vol. 876, pp. 160–166. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-02053-8_26
Prokopowicz, P., Ślȩzak, D.: Ordered fuzzy numbers: definitions and operations. In: Prokopowicz, P., Czerniak, J., Mikołajewski, D., Apiecionek, Ł, Ślȩzak, D. (eds.) Theory and Applications of Ordered Fuzzy Numbers. SFSC, vol. 356, pp. 57–79. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-59614-3_4
Sung, I., Nielsen, P.: Zoning a service area of unmanned aerial vehicles for package delivery services. J. Intell. Robot. Syst. 97(3) (2020). https://doi.org/10.1007/s10846-019-01045-7
Sáez, D., Cortés, C., Núñez, A.: Hybrid adaptive predictive control for the multi-vehicle dynamic pick-up and delivery problem based on genetic algorithms and fuzzy clustering. Comput. Oper. Res. 35(11), 3412–3438 (2008). https://doi.org/10.1016/j.cor.2007.01.025
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Rudnik, K., Bocewicz, G., Smutnicki, C., Pempera, J., Banaszczak, Z. (2021). Periodic Distributed Delivery Routes Planning Subject to Uncertainty of Travel Parameters. In: Nguyen, N.T., Iliadis, L., Maglogiannis, I., Trawiński, B. (eds) Computational Collective Intelligence. ICCCI 2021. Lecture Notes in Computer Science(), vol 12876. Springer, Cham. https://doi.org/10.1007/978-3-030-88081-1_21
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