Abstract
We study a multicommodity routing problem faced by an intermodal service operator that uses ground and maritime transportation. Given a planning horizon, a set of commodities to be picked up at their release times and to be delivered not later than their duedates, the problem is to decide on routes for these commodities using trucks and scheduled and capacitated maritime services at minimum cost of transportation and stocking at the seaports. Two mixed integer programming formulations and valid inequalities are proposed for this problem. The results of a computational study to evaluate the strength of the linear programming relaxations and the solution times are reported.
Similar content being viewed by others
References
Ahuja, R.K., Magnanti, T.L., Orlin, J.B.: Network Flows. Prentice Hall, New York (1993)
Barnhart, C., Ratliff, H.D.: Modeling intermodal routing. J. Bus. Logist. 14, 205–223 (1993)
Barnhart, C., Hane, C.A., Vance, P.H.: Using branch-and-price-and-cut to solve origin-destination integer multicommodity flow problems. Oper. Res. 48, 318–326 (2000)
Bektas, T., Crainic, T.G.: A brief overview of intermodal transportation. Technical Report, CIRRELT-2007-03, Interuniversity Research Centre on Enterprise Networks, Logistics and Transportation (2007)
Boardman, B.S., Malstrom, E.M., Butler, D.P., Cole, M.H.: Computer assisted routing of intermodal shipments. Comput. Ind. Eng. 33, 311–314 (1997)
Bontekoning, Y.M., Macharis, C., Trip, J.J.: Is a new applied transportation research field emerging?—A review of intermodal rail-truck freight transport literature. Transp. Res. A 38, 1–34 (2004)
Bookbinder, J.H., Fox, N.S.: Intermodal routing of Canada-Mexico shipments under NAFTA. Transp. Res. E 34, 289–303 (1998)
Boussedjra, M., Bloch, C., El Moudni, A.: An exact method to find the intermodal shortest path. In: Proceedings of the IEEE International Conference on Networking, Sensing & Control, pp. 1075–1080 (2004)
Chang, T.S.: Best routes selection in international intermodal networks. Comput. Oper. Res. 35, 2877–2891 (2008)
Christiansen, M., Fagerholt, K., Nygreen, B., Ronen, D.: Maritime transportation. In: Barnhart, C., Laporte, G. (eds.) Handbook in OR & MS, vol. 14, pp. 189–284. Elsevier, Amsterdam (2007)
Crainic, T.G., Kim, K.H.: Intermodal transportation. In: Barnhart, C., Laporte, G. (eds.) Handbook in OR & MS, vol. 14, pp. 467–537. Elsevier, Amsterdam (2007)
Garey, M.R., Johnson, D.S.: Computers and Intractability, A Guide to the Theory of NP-Completeness. Freeman, New York (1979)
Grasman, S.E.: Dynamic approach to strategic and operational multimodal routing decisions. Int. J. Logist. Syst. Manag. 2, 96–106 (2006)
Kim, H.J., Chang, Y.T., Lee, P.T.T., Shin, S.H., Kim, M.J.: Optimizing the transportation of intermodal container cargoes in Korea. Marit. Policy Manag. 35, 103–122 (2008)
Macharis, B., Bontekoning, Y.M.: Opportunities for OR in intermodal freight transportation research: a review. Eur. J. Oper. Res. 153, 400–416 (2004)
Min, H.: International intermodal choices via change-constrained goal programming. Transp. Res. A 25, 351–362 (1991)
Moccia, L., Cordeau, J.F., Laporte, G., Ropke, S., Valentini, M.P.: Modeling and solving a multimodal routing problem with timetables and time windows. Networks (to appear)
Pedersen, M.B.: Optimization models and solution methods for intermodal transportation. PhD Thesis, Technical University of Denmark, Centre for Traffic and Transport (2005)
Slack, B.: Intermodal Transportation. In: Brewer, A.M., Button, K.J., Hensher, D.A. (eds.) Handbook of Logistics and Supply-Chain Management, pp. 141–154. Pergamon, Elmsford (2001)
Song, H., Chen, G.: Minimum cost delivery problem in intermodal transportation networks. In: Proceedings of the 2007 IEEE IEEM, pp. 1502–1506 (2007)
Wolsey, L.A.: Integer Programming. Wiley, New York (1998)
Ziliaskopoulos, A., Wardell, W.: An intermodal optimum path algorithm for multimodal networks with dynamic arc travel times and switching delays. Eur. J. Oper. Res. 125, 486–502 (2000)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ayar, B., Yaman, H. An intermodal multicommodity routing problem with scheduled services. Comput Optim Appl 53, 131–153 (2012). https://doi.org/10.1007/s10589-011-9409-z
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10589-011-9409-z