Networks and Spatial Economics

, Volume 11, Issue 2, pp 295–314 | Cite as

The p-hub Model with Hub-catchment Areas, Existing Hubs, and Simulation: A Case Study of Serbian Intermodal Terminals

  • Milorad VidovićEmail author
  • Slobodan Zečević
  • Milorad Kilibarda
  • Jelena Vlajić
  • Nenad Bjelić
  • Snežana Tadić


This paper addresses the problem of optimally locating intermodal freight terminals in Serbia. To solve this problem and determine the effects of the resulting scenarios, two modeling approaches were combined. The first approach is based on multiple-assignment hub-network design, and the second is based on simulation. The multiple-assignment p-hub network location model was used to determine the optimal location of intermodal terminals. Simulation was used as a tool to estimate intermodal transport flow volumes, due to the unreliability and unavailability of specific statistical data, and as a method for quantitatively analyzing the economic, time, and environmental effects of different scenarios of intermodal terminal development. The results presented here represent a summary, with some extension, of the research realized in the IMOD-X project (Intermodal Solutions for Competitive Transport in Serbia).


Intermodal freight terminals location p-hub location model Simulation Case study 



The authors gratefully acknowledge the insightful comments of NETS Location Area Editor, and two anonymous reviewers which significantly improved the paper. This research was conducted as part of a one and a half year project (2005–2006): Intermodal Solutions for Competitive Transport in Serbia (IMOD-X), created to evaluate the possibilities of organizing a competitive intermodal transport services in Serbia. The project was a part of the bilateral assistance program between Norway and Serbia and was fully financed by the Norwegian Government.


  1. Alumur S, Kara BY (2008) Network hub location problems: the state of the art. Eur J Oper Res 190:1–21CrossRefGoogle Scholar
  2. Arnold P, Peeters D, Thomas I (2004) Modelling a rail/road intermodal transportation system. Transp Res Part E 40:255–270CrossRefGoogle Scholar
  3. Crainic TG, Kim KH (2007) Intermodal transportation. In: Barnhart C, Laporte G (eds) Handbook in OR & MS, Vol. 14 Elsevier B.V., pp 467–537Google Scholar
  4. Energy and transport in figures, Part 3: Transport (2009) European Commission, Directorate-General for Energy and Transport accesed 14. November 2009
  5. Ernst AT, Krishnamoorthy M (1998) Exact and heuristic algorithms for the uncapacitated multiple allocation p-hub median problem. Eur J Oper Res 104:100–112CrossRefGoogle Scholar
  6. EU funded urban transport research project results (2003) Environment, Energy, and Transport PORTAL, PORTAL transport teaching material, ( accesed in 2006
  7. European Conference of Ministers of Transport (2001) Terminology for combined transport. accesed 28. January 2009
  8. Groothedde B, Ruijgrok C, Tavasszy L (2005) Towards collaborative, intermodal hub networks A case study in the fast moving consumer goods market. Transp Res Part E 41:567–583CrossRefGoogle Scholar
  9. Hamacher HW, Labbe M, Nickel S, Sonneborn T (2000) Polyhedral Properties of the Uncapacitated Multiple Allocation Hub Location Problem Working paper. Department of Mathematics, University of Kaiserslautern, Gottlieb-Daimler-Strasse, 67663 Kaiserslautern, GermanyGoogle Scholar
  10. Janic M (2007) Modelling the full costs of an intermodal and road freight transport network. Transp Res Part D 12:33–44CrossRefGoogle Scholar
  11. Klincewicz JG (1991) Heuristics for the p-hub location problem. Eur J Oper Res 53:25–37CrossRefGoogle Scholar
  12. Klincewicz JG (1996) A dual algorithm for the uncapacitated hub location problem. Location Sci 4:173–184CrossRefGoogle Scholar
  13. Network Rail accesed 14. November 2009
  14. Nijkamp P (1994) Roads towards environmentally sustainable transport. Transp Res Part A 28:261–271Google Scholar
  15. O’Kelly M, Skorin-Kapov D, Skorin-Kapov J (1995) Lower bounds for the hub location problem. Manage Sci 41:713–721CrossRefGoogle Scholar
  16. O’Kelly DB, Skorin-kapov D, Skorin-kapov J (1996) Hub network design with single and multiple allocation: a computational study. Location Sci 4:125–138CrossRefGoogle Scholar
  17. O’Kelly ME (1987) A quadratic integer program for the location of interacting hub facilities. Eur J Oper Res 32:393–404CrossRefGoogle Scholar
  18. Racunica I, Wynter L (2005) Optimal location of intermodal freight hubs. Transp Res Part B 39:453–477CrossRefGoogle Scholar
  19. Regional Intermodal Terminals—Indicators for Sustainability (2004), released by the Sea Freight Council of New South Wales Inc accesed 14. November 2009
  20. Serbian Ministry of Capital Investment-Department of Railway and Intermodal Transport, Faculty of Transport and Traffic Engineering University of Belgrade, SINTEF Technology and Society, Norway, 2006. Intermodal Solutions for Competitive Transport in Serbia - IMOD-XGoogle Scholar
  21. Sirikijpanichkul A, Van Dam K, Ferreira L, Lukszo Z (2007) Optimizing the location of intermodal freight hubs: an overview of the agent based modelling approach. J Transpn Sys Eng & IT 7:71–81Google Scholar
  22. Skorin-Kapov D, Skorin-Kapov J, O_Kelly M (1996) Tight linear programming relaxations of uncapacitated p-hub median problems. Eur J Oper Res 94:582–593CrossRefGoogle Scholar
  23. Sohn J, Park S (2000) The single allocation problem in the interacting three-hub network. Networks 35:17–25CrossRefGoogle Scholar
  24. Strategy of Economic Development until 2010 (2002) Ministry of science and technology of Republic of Serbia, Belgrade (books I and II) (In Serbian)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Milorad Vidović
    • 1
    Email author
  • Slobodan Zečević
    • 1
  • Milorad Kilibarda
    • 1
  • Jelena Vlajić
    • 1
  • Nenad Bjelić
    • 1
  • Snežana Tadić
    • 1
  1. 1.Logistics DepartmentUniversity of Belgrade, Faculty of transport and traffic engineeringBelgradeSerbia

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