Abstract
In the paper, we consider a Chinese postman problem and show how integration of an advanced mathematical model with GIS technology can be beneficial providing a powerful tool for developing, testing and applying sophisticated heuristics for arc routing problems. We give details of an implementation of several recently developed heuristics for the Chinese postman problem with priority nodes that are integrated with GIS software. In the end, we show how a GIS visualization can be helpful in finding and presenting the results.
Similar content being viewed by others
References
Choi Y, Parka HD, Sunwoob C, Clarke K (2009) Multi-criteria evaluation and least-cost path analysis for optimal haulage routing of dump trucks in large scale open-pit mines. Int J Geogr Inform Sci 23: 1541–1567
Goodchild M (1992) Geographic information science. Int J Geogr Inform Syst 6:31–45
Guan M (1962) Graphic programming using odd and even points. Chin Math 1:273–277
Hartl R, Hasle G, Janssens G (2006) Special issue on rich vehicle routing problems. Central Eur J Oper Res 14(2):103–104
Held M, Karp R (1962) A dynamic programming approach to sequencing problems. J Soc Ind Appl Math 1(10):196–210
Karp R (1972) Complexity of computer computations. In: Reducibility among combinatorial problems, Plenum Press, pp 85–103
Korte B, Vygen J (2002) Combinatorial optimization: theory and algorithms, 2nd edn. Springer, Berlin
Kramberger T, Žerovnik J (2005) Chinese postman problem with priorities. In: Proceedings SOR’05, Nova Gorica, Slovenia, pp 357–362
Kramberger T, Žerovnik J (2008) A contribution to environmentally friendly winter road maintenance: optimizing road de-icing. Trans Res D 13:340–346
Kramberger T, Žerovnik J, Štrubelj G (2009) Chinese postman problem with priority nodes. Found Comput Decis Sci 34(4):233–264
Matis P, Koháni M (2011) Very large street routing problem with mixed transportation mode. Central Eur J Oper Res 19(3):359–369
Mehlhorn K, Näher S (1999) LEDA: a platform for combinatorial and geometric computing. Cambridge University Press, Cambridge
NAVTEQ (2008) Navteq’s navstreets street data reference manual
Rodrigue J, Comtois C, Slac B (2009) The geography of transport systems. Routledge, New York
Shao J, Lister P (1995) Data filtering of thermal mapping of road surface temperatures. Meteorol Appl 2
Thill J (2000) Geographic information systems for transportation in perspective. Trans Res C 8:3–12
Thornes J (1991) Thermal mapping and road- weather information systems for highway engineers
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kramberger, T., Žerovnik, J., Štrubelj, G. et al. GIS technology as an environment for testing an advanced mathematical model for optimization of road maintenance. Cent Eur J Oper Res 21 (Suppl 1), 59–73 (2013). https://doi.org/10.1007/s10100-012-0265-4
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10100-012-0265-4