Abstract
The main objective of the research was to compare the operation of the genetic algorithm with selected heuristics (savings heuristics, Dijkstra heuristic, Christofides heuristics) for the routing problem with capacity constraints, for which the following comparison criteria were defined: time to find a solution, filling the fleet and accuracy of the solution. The article analyzes five random data sets differing in the location of points (cities) and the size of orders. Such a variety of data made it possible to analyze the effectiveness of selected heuristics. Results from genetic algorithm was compared with other heuristic. The results are presented in appropriate graphs, which facilitates the analysis of the results and their comparison.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Gutin, G., Punnen, A.P.: The traveling salesman problem and its variations (2001). https://doi.org/10.1007/b101971
Suthikarnnarunai, N.: A Sweep Algorithm for the Mix Fleet Vehicle Routing Problem. IMECS (2008). ISBN: 978-988-17012-1-3
Ding, D., Zou, X.: The Optimization of Logistics Distribution Route Based on Dijkstra’s Algorithm and C-W Savings Algorithm, pp. 957–958 (2016). https://doi.org/10.2991/mmebc-16.2016.200
Letchford, A., Lysgaard, J., Eglese, R.: A branch-and-cut algorithm for the capacitated open vehicle routing problem. J. Oper. Res. Soc. 1642–1651 (2007)
Chepuri, K., Homem-de-Mello, T.: Solving the vehicle routing problem with stochastic demands using the cross-entropy method. Ann. Oper. Res. 153–181 (2005)
Dror, M., Trudeau, P.: Savings by Split Delivery Routing. Transportation Science 23(2), 141–145 (1989)
Dror, M., Trudeau, P.: Split delivery routing. Naval Research Logistics 37, 383–402 (1990). https://doi.org/10.1002/nav.3800370304
Dror, M., Laporte, G., Trudeau, P.: Vehicle routing with split deliveries (1994). https://doi.org/10.1016/0166-218X(92)00172-I
Golden, B.L., Raghavan, S., Wasil, E.: The Vehicle Routing Problem: Latest Advances and New Challenges, pp. 422–426 (2008). https://doi.org/10.1007/978-0-387-77778-8
Dror, M.: Arc Routing: Theory, Solutions and Applications. Springer (2000). https://doi.org/10.1007/978-1-4615-4495-1
Zanjirani Farahani, R., Miandoabchi, E.: Graph Theory for Operations Research and Management: Applications in Industrial Engineering. IGI Global (2012). ISBN: 978-1466626614
Toth, P., Vigo, D.: Models, relaxations and exact approaches for the capacitated vehicle routing problem. Discrete Applied Mathematics 123(1–3), 487–512 (2002). https://doi.org/10.1016/S0166-218X(01)00351-1
Clarke, G., Wright, J.V.: Scheduling of vehicles from a central depot to a number of delivery points. Oper. Res. 568–581 (1964)
Daglayan, H., Karakaya, M.: The Impact of Crossover and Mutation Operators on a GA Solution for the Capacitated Vehicle Routing Problem. Universal Journal of Engineering Science 4(3), 39–44 (2016). https://doi.org/10.13189/ujes.2016.040301
Dijkstra, E.W.: A note on two problems in connexion with graphs. Numerische Mathematik 1, 269–271 (1959)
Nazifa, H., Lee, L.S.: Optimised crossover genetic algorithm for capacitated vehicle routing problem. Applied Mathematical Modelling 36(5), 2110–2117 (2012)
Crevier, B., Cordeau, J.F., Laporte, G.: The multi-depot vehicle routing problem with inter-depot routes. Eur. J. Oper. Res. 756–773 (2007)
Malandraki, C., Daskin, M.: Time dependent vehicle routing problems: formulations, properties and heuristic algorithms. Transp. Sci. 185–200 (1992)
Zeimpekis, V., Giaglis, G.: Urban dynamic real-time distribution services: insights from SMEs. J. Enterp. Inf. Manag. 367–388 (2006)
Mourgaya, M., Vanderbeck, F.: Column generation based heuristic for tactical planning in multi-period vehicle routing. Eur. J. Oper. Res. 1028–1041 (2007)
Brandão, J.: A new tabu search algorithm for the vehicle routing problem with backhauls. Eur. J. Oper. Res. 540–555 (2006)
Ropke, S., Pisinger, D.: An adaptive large neighborhood search heuristic for the pickup and delivery problem with time windows. Transp. Sci. 455–472 (2006)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Ochelska-Mierzejewska, J., Zakrzewski, P. (2022). Comparison the Genetic Algorithm and Selected Heuristics for the Vehicle Routing Problem with Capacity Limitation. In: Kryvinska, N., Poniszewska-Marańda, A. (eds) Developments in Information & Knowledge Management for Business Applications . Studies in Systems, Decision and Control, vol 377. Springer, Cham. https://doi.org/10.1007/978-3-030-77916-0_10
Download citation
DOI: https://doi.org/10.1007/978-3-030-77916-0_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-77915-3
Online ISBN: 978-3-030-77916-0
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)