Skip to main content

Route Optimisation for Winter Maintenance

  • Conference paper
  • First Online:
Geospatial Technologies for Local and Regional Development (AGILE 2019)

Part of the book series: Lecture Notes in Geoinformation and Cartography ((LNGC))

Included in the following conference series:

  • 1006 Accesses

Abstract

In many countries, winter maintenance is a requirement to keep public life going throughout the cold season. This paper investigates the optimization of salt spreading routes in Denmark in terms of service time and cost. It looks at salting as a capacitated arc routing problem and proposes a greedy randomized adaptive search procedure to this end. At the core of the proposed approach is a heuristic algorithm based on simulated annealing that improves the initial route by searching for alternatives within a predefined search space, taking into account a number of constraints and criteria at each iteration of the procedure. The performance of the optimization approach is tested on three different existing service routes, where it is shown to reduce route length by an average of 8.7% and service time by an average of 9.5%.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Based on the salting vehicles used in Denmark, we assume a salting width of 8 m.

  2. 2.

    See http://vejman.dk and https://trafikkort.vejdirektoratet.dk.

References

  • Arakaki RK, Usberti FL (2018) Hybrid genetic algorithm for the open capacitated arc routing problem. Comput Oper Res 90:221–231. https://doi.org/10.1016/j.cor.2017.09.020, http://www.sciencedirect.com/science/article/pii/S0305054817302502

    Article  Google Scholar 

  • Bodin LD, Golden BL, Assad AA, Ball MO (1981) The state of the art in the routing and scheduling of vehicles and crews. US Department of Transportation, Urban Mass Transportation Administration. https://babel.hathitrust.org/cgi/pt?id=ien.35556021333117;view=1up;seq=13

  • Chapleau L, Ferland JA, Lapalme G, Rousseau JM (1984) A parallel insert method for the capacitated arc routing problem. Oper Res Lett 3(2):95–99. Accessed 04 Dec 2017

    Article  Google Scholar 

  • Christofides N (1973) The optimum traversal of a graph. Omega 1(6):719–732. Accessed 03 Dec 2017

    Article  Google Scholar 

  • Cormen TH, Leiserson CE, Rivest RL (1990) Introduction to algorithms, 1st edn. MIT Press and McGraw-Hill

    Google Scholar 

  • Eglese R (1994) Routeing winter gritting vehicles. Discret Appl Math 48(3):231–244. Accessed: 08 Dec 2017

    Article  Google Scholar 

  • Eiselt HA, Gendreau M, Laporte G (1995) Arc routing problems, part ii: the rural postman problem. Oper Res 43(3):399–414. Accessed 15 Dec 2017

    Article  Google Scholar 

  • Evans J, Weant M (1990) Strategic planning for snow and ice control vehicles using computer-based routing software. Public Works 121(4):60–64. Accessed 09 Dec 2017

    Google Scholar 

  • Gendreau M, Hertz A, Laporte G (1992) New insertion and postoptimization procedures for the traveling salesman problem. Oper Res 40(6):1086–1094. Accessed 13 Nov 2017

    Article  Google Scholar 

  • Golden BL, Wong RT (1981) Capacitated arc routing problems. Networks 11(3):305–315. Accessed 15 Dec 2017

    Article  Google Scholar 

  • Goode L, Nantung T (1995) CASPER: the friendly, efficient snow routes planner. http://onlinepubs.trb.org/onlinepubs/trnews/rpo/rpo.trn181.pdf

  • Haghani A, Qiao H (2001) Decision support system for snow emergency vehicle routing: algorithms and application. Transp Res Rec: J Transp Res Board 1771:172–178. Accessed 02 Feb 2017

    Article  Google Scholar 

  • Haslam E, Wright JR (1991) Application of routing technologies to rural snow and ice control. Transp Res Board 1304:202–211. Accessed 10 Sept 2017

    Google Scholar 

  • Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simulated annealing. Science 220(4598):671–680. Accessed 29 Nov 2017

    Article  Google Scholar 

  • Knudsen F, Eram MM, Jansen KB (2014) Denmark, Technical Committee 2.4, pp 52–60

    Google Scholar 

  • Kurniawan R, Sulistiyo MD, Wulandari GS (2015) Genetic algorithm for capacitated vehicle routing problem with considering traffic density. In: 2015 international conference on information technology systems and innovation (ICITSI), pp 1–6

    Google Scholar 

  • Lemieux PF, Gampagna L (1984) The snow ploughing poblem solved by a graph theory algorithm. Civ Eng Syst 1(6):337–341. Accessed 29 Nov 2017

    Article  Google Scholar 

  • Male JW, Liebman JC, Orloff CS (1977) An improvement of Orloff’s general routing problem. Networks 7(1):89–92. Accessed 11 Dec 2017

    Article  Google Scholar 

  • Metropolis N, Rodenbluth AW, Rosenbluth MN, Teller AH (1953) Equation of state calculations by fast computing machines. J Chem Phys 21(6):1087–1092. Accessed 02 Feb 2018

    Google Scholar 

  • Nemhauser GL, Wolsey LA (1988) Integer programming and combinatorial optimization. Wiley, Chichester; Nemhauser GL, Savelsbergh MWP, Sigismondi GS (1992) Constraint classification for mixed integer programming formulations. COAL Bull 20:8–12

    Google Scholar 

  • Pearn WL (1989) Approximate solutions for the capacitated arc routing problem. Comput Oper Res 16(6):589–600. Accessed 03 Dec 2017

    Article  Google Scholar 

  • Rere LR, Fanany MI, Arymurthy AM (2015) Simulated annealing algorithm for deep learning. Procedia Comput Sci 72(1):137–144. Accessed 23 Nov 2017

    Article  Google Scholar 

  • Resende MGC, Ribeiro CC (1997) A grasp for graph planarization. Networks 29(3):173–189. Accessed 16 Oct 2017

    Article  Google Scholar 

  • Ruas A, Gold C (2008) Headway in spatial data handling: 13th international symposium on spatial data handling. Springer

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Carsten Keßler .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Raghestani, N., Keßler, C. (2020). Route Optimisation for Winter Maintenance. In: Kyriakidis, P., Hadjimitsis, D., Skarlatos, D., Mansourian, A. (eds) Geospatial Technologies for Local and Regional Development. AGILE 2019. Lecture Notes in Geoinformation and Cartography. Springer, Cham. https://doi.org/10.1007/978-3-030-14745-7_8

Download citation

Publish with us

Policies and ethics