Abstract
In this paper we present an arc routing problem with precedence constraints, with a focus on its application to snow plowing operations in Norway. The problem studied considers the clearing of snow from a network of roads, where there exists precedence relations between the driving lanes and the sidewalks. The goal is to minimize the total time it takes for a heterogeneous fleet of vehicles to clear all the snow from the road network. We describe a mathematical model of the problem and present symmetry breaking constraints to improve the computational performance. We present a computational study where the performance of the model is tested. Further, we study the effect of forbidding or penalizing U-turns along the route, something the snow plowing vehicles struggle to do. The computational experiments show that it is possible to generate solutions without U-turns with only a marginal increase in the objective value.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Corberán, Á., Laporte, G.: Arc routing: problems, methods, and applications. SIAM (2013)
Dussault, B., Golden, B., Groër, C., Wasil, E.: Plowing with precedence: A variant of the windy postman problem. Computers & Operations Research 40(4), 1047–1059 (2013)
Golden, B.L., Wong, R.T.: Capacitated arc routing problems. Networks 11(3), 305–315 (1981)
Kinable, J., van Hoeve, W.-J., Smith, S.F.: Optimization models for a real-world snow plow routing problem. In: Quimper, C.-G. (ed.) CPAIOR 2016. LNCS, vol. 9676, pp. 229–245. Springer, Cham (2016). doi:10.1007/978-3-319-33954-2_17
Margot, F.: Symmetry in integer linear programming. In: Jünger, M., Liebling, T.M., Naddef, D., Nemhauser, G.L., Pulleyblank, W.R., Reinelt, G., Rinaldi, G., Wolsey, L.A. (eds.) 50 Years of Integer Programming 1958–2008: From the Early Years to the State-of-the-Art, pp. 647–686. Springer, Heidelberg (2010)
Perrier, N., Langevin, A., Amaya, C.-A.: Vehicle routing for urban snow plowing operations. Transportation Science 42(1), 44–56 (2008)
Perrier, N., Langevin, A., Campbell, J.F.: A survey of models and algorithms for winter road maintenance. part I: system design for spreading and plowing. Computers & Operations Research 33(1), 209–238 (2006a)
Perrier, N., Langevin, A., Campbell, J.F.: A survey of models and algorithms for winter road maintenance. part II: system design for snow disposal. Computers & Operations Research 33(1), 239–262 (2006b)
Perrier, N., Langevin, A., Campbell, J.F.: A survey of models and algorithms for winter road maintenance. part III: Vehicle routing and depot location for spreading. Computers & Operations Research 34(1), 211–257 (2007a)
Perrier, N., Langevin, A., Campbell, J.F.: A survey of models and algorithms for winter road maintenance. part IV: Vehicle routing and fleet sizing for plowing and snow disposal. Computers & Operations Research 34(1), 258–294 (2007b)
Salazar-Aguilar, M.A., Langevin, A., Laporte, G.: Synchronized arc routing for snow plowing operations. Computers & Operations Research 39(7), 1432–1440 (2012)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Gundersen, A.H., Johansen, M., Kjær, B.S., Andersson, H., Stålhane, M. (2017). Arc Routing with Precedence Constraints: An Application to Snow Plowing Operations. In: Bektaş, T., Coniglio, S., Martinez-Sykora, A., Voß, S. (eds) Computational Logistics. ICCL 2017. Lecture Notes in Computer Science(), vol 10572. Springer, Cham. https://doi.org/10.1007/978-3-319-68496-3_12
Download citation
DOI: https://doi.org/10.1007/978-3-319-68496-3_12
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-68495-6
Online ISBN: 978-3-319-68496-3
eBook Packages: Computer ScienceComputer Science (R0)