Abstract
This paper analyses the consequences of the upcoming Panama Canal expansion using a liner fleet deployment model (LFDM) applied to the container shipment routing problem. As the canal capacity will be increased in 2016 from 5000 TEUs to 13,000 TEUs vessels, new options will be offered to container liner shippers. Some earlier work has suggested impact on shipping patterns, transshipment and cost structures. We derive optimal results for a MIP implementation of the LFDM adapted to the Panama Canal problem for demand scenarios on different international container traffic routes corresponding to a range of ±17 % of the actual Canal traffic in 2014. Our results show positive effects on total costs from fleet redeployment of larger vessels to the Canal-crossing routes, leading to lowered vessel costs and higher utilization rates. The expansion is also environmentally advantageous since the fleet composition will induce lower bunker fuel consumption and thereby lower \(\hbox {CO}_2\) emissions. However, the total Canal costs are still predicted to be a minor proportion of the cost basis without incentives for additional or alternative Canal capacity.




Similar content being viewed by others
Notes
The tonnage measurement system currently in use in the Panama Canal is the Panama Canal Universal Measurement System (PC/UMS). To determine the net Canal tonnage, is applied a mathematical formula for the measurement of the total ship volume. A net Panama Canal ton is equivalent to 100 cubic feet of volumetric capacity. One TEU is equivalent to approximately 13.2 net PC/UMS tons.
References
Agarwal, R., & Ergun, Ö. (2008). Ship scheduling and network design for cargo routing in liner shipping. Transportation Science, 42(2), 175–196.
Agarwal, R., & Ergun, Ö. (2010). Network design and allocation mechanisms for carrier alliances in liner shipping. Operations Research, 58(6), 1726–1742.
Alderton, P. M. (2004). Reeds sea transport: Operation and economics. London: A&C Black.
Alvarez, J. F. (2009). Joint routing and deployment of a fleet of container vessels. Maritime Economics and Logistics, 11(2), 186–208.
Baird, A. J. (2006). Optimising the container transshipment hub location in northern Europe. Journal of Transport Geography, 14(3), 195–214.
Bendall, H., & Stent, A. (2001). A scheduling model for a high speed containership service: A hub and spoke short-sea application. International Journal of Maritime Economics, 3(3), 262–277.
Boffey, T., Edmond, E., Hinxman, A. & Pursglove, C. (1979). Two approaches to scheduling container ships with an application to the North Atlantic route. Journal of the Operational Research Society, 30(5), 413–425.
Branch, A., & Stopford, M. (2013). Maritime economics. Abingdon: Routledge.
Brouer, B. D., Alvarez, J. F., Plum, C. E. M., Pisinger, D., & Sigurd, M. M. (2014). A Base Integer Programming Model and Benchmark Suite for Liner-Shipping Network Design. Transportation Science, 48(2), 281–312.
Cheaitou, A., & Cariou, P. (2012). Liner shipping service optimisation with reefer containers capacity: An application to northern Europe-South America trade. Maritime Policy and Management, 39(6), 589–602.
Cho, S., & Perakis, A. (1996). Optimal liner fleet routeing strategies. Maritime Policy and Management, 23(3), 249–259.
Christiansen, M., Fagerholt, K., & Ronen, D. (2004). Ship routing and scheduling: Status and perspectives. Transportation science, 38(1), 1–18.
Chuang, T., Lin, C., Kung, J., & Lin, M. (2010). Planning the route of container ships: A fuzzy genetic approach. Expert Systems with Applications, 37(4), 2948–2956.
Corbett, J. J., Wang, H., & Winebrake, J. J. (2009). The effectiveness and costs of speed reductions on emissions from international shipping. Transportation Research Part D: Transport and Environment, 14(8), 593–598.
Daduna, J.R. & Hanisch, M. (2015). Impacts of the locks enlargement on the access to the Panama Canal on maritime container transport in the Central American region. Logistics Management. Springer, pp. 213–226.
de Marucci, S. (2012). The expansion of the Panama Canal and its impact on global \(\text{ CO }_2\) emissions from ships. Maritime Policy and Management, 39(6), 603–620.
Du, Y., Chen, Q., Quan, X., Long, L., & Fung, R. Y. (2011). Berth allocation considering fuel consumption and vessel emissions. Transportation Research Part E: Logistics and Transportation Review, 47(6), 1021–1037.
Fagerholt, K. (1999). Optimal fleet design in a ship routing problem. International Transactions in Operational Research, 6(5), 453–464.
Fagerholt, K. (2004). Designing optimal routes in a liner shipping problem. Maritime Policy and Management, 31(4), 259–268.
Fagerholt, K., Johnsen, T. A., & Lindstad, H. (2009). Fleet deployment in liner shipping: A case study. Maritime Policy and Management, 36(5), 397–409.
Fan, L., Wilson, W. W., & Dahl, B. (2012a). Congestion, port expansion and spatial competition for US container imports. Transportation Research Part E: Logistics and Transportation Review, 48(6), 1121–1136.
Fan, L., Wilson, W. W., & Dahl, B. (2012b). Impacts of new routes and ports on spatial competition for containerized imports into the United States. Maritime Policy and Management, 39(5), 479–501.
Fan, L., Wilson, W. W., & Tolliver, D. (2009). Logistical rivalries and port competition for container flows to US markets: Impacts of changes in Canada’s logistics system and expansion of the Panama Canal. Maritime Economics and Logistics, 11(4), 327–357.
Fan, L., Wilson, W. W., & Tolliver, D. (2010). Optimal network flows for containerized imports to the United States. Transportation Research Part E: Logistics and Transportation Review, 46(5), 735–749.
Gelareh, S., & Meng, Q. (2010). A novel modeling approach for the fleet deployment problem within a short-term planning horizon. Transportation Research Part E: Logistics and Transportation Review, 46(1), 76–89.
Gelareh, S., & Pisinger, D. (2011). Fleet deployment, network design and hub location of liner shipping companies. Transportation Research Part E: Logistics and Transportation Review, 47(6), 947–964.
Golias, M., Boile, M., Theofanis, S., & Efstathiou, C. (2010). The berth-scheduling problem: Maximizing berth productivity and minimizing fuel consumption and emissions production. Transportation Research Record: Journal of the Transportation Research Board, 2166, 20–27.
Hoff, A., Andersson, H., Christiansen, M., Hasle, G., & LØKKETANGEN, A. (2010). Industrial aspects and literature survey: Fleet composition and routing. Computers and Operations Research, 37(12), 2041–2061.
Imai, A., Shintani, K., & Papadimitriou, S. (2009). Multi-port vs. Hub-and-Spoke port calls by containerships. Transportation Research Part E: Logistics and Transportation Review, 45(5), 740–757.
Jaramillo, D., & Perakis, A. N. (1991). Fleet deployment optimization for liner shipping Part 2. Implementation and results. Maritime Policy and Management, 18(4), 235–262.
Karlaftis, M. G., Kepaptsoglou, K., & Sambracos, E. (2009). Containership routing with time deadlines and simultaneous deliveries and pick-ups. Transportation Research Part E: Logistics and Transportation Review, 45(1), 210–221.
Kontovas, C. A., & Psaraftis, H. N. (2011). The link between economy and environment in the post-crisis era: lessons learned from slow steaming. International Journal of Decision Sciences, Risk and Management, 3(3–4), 311–326.
Lane, D., Heaver, T. D., & Uyeno, D. (1987). Planning and scheduling for efficiency in liner shipping. Maritime Policy and Management, 14(2), 109–125.
Lang, N., & Veenstra, A. (2010). A quantitative analysis of container vessel arrival planning strategies. OR Spectrum, 32(3), 477–499.
Liu, X., Ye, H., & Yuan, X. (2011). Tactical planning models for managing container flow and ship deployment. Maritime Policy and Management, 38(5), 487–508.
Meng, Q., & Wang, S. (2011a). Liner shipping service network design with empty container repositioning. Transportation Research Part E: Logistics and Transportation Review, 47(5), 695–708.
Meng, Q., & Wang, S. (2011b). Optimal operating strategy for a long-haul liner service route. European Journal Operational Research, 215(1), 105–114.
Meng, Q., & Wang, S. (2012). Liner ship fleet deployment with week-dependent container shipment demand. European Journal Operational Research, 222(2), 241–252.
Meng, Q., Wang, S., Andersson, H., & Thun, K. (2014). Containership routing and scheduling in liner shipping: overview and future research directions. Transportation Science, 48(2), 265–280.
Meng, Q., Wang, S., & Liu, Z. (2012). Network design for shipping service of large-scale intermodal liners. Transportation Research Record: Journal of the Transportation Research Board, 2269, 42–50.
Meng, Q., & Wang, T. (2011). A scenario-based dynamic programming model for multi-period liner ship fleet planning. Transportation Research Part E: Logistics and Transportation Review, 47(4), 401–413.
Meng, Q., Wang, T., & Wang, S. (2012). Short-term liner ship fleet planning with container transshipment and uncertain container shipment demand. European Journal Operational Research, 223(1), 96–105.
Moura O, M. C., Pato, M. V., & Paixa O, A. C. (2002). Ship assignment with hub and spoke constraints. Maritime Policy and Management, 29(2), 135–150.
Notteboom, T. E., & Vernimmen, B. (2009). The effect of high fuel costs on liner service configuration in container shipping. Journal of Transport Geography, 17(5), 325–337.
Panama Canal Authority, Maritime Services-PanCanal.com, 2015. (http://micanaldepanama.com).
Perakis, A., & Jaramillo, D. (1991). Fleet deployment optimization for liner shipping Part 1. Background, problem formulation and solution approaches. Maritime Policy and Management, 18(3), 183–200.
Powell, B., & Perkins, A. (1997). Fleet deployment optimization for liner shipping: An integer programming model. Maritime Policy and Management, 24(2), 183–192.
Rana, K., & Vickson, R. (1988). A model and solution algorithm for optimal routing of a time-chartered containership. Transportation Science, 22(2), 83–95.
Rana, K., & Vickson, R. (1991). Routing container ships using Lagrangean relaxation and decomposition. Transportation Science, 25(3), 201–214.
Reinhardt, L. B., & Pisinger, D. (2012). A branch and cut algorithm for the container shipping network design problem. Flexible Services and Manufacturing Journal, 24(3), 349–374.
Rodrigue, J. P., Comtois, C., & Slack, B. (2013). The geography of transport systems (2nd edn.). New York: Routledge.
Ronen, D. (1993). Ship scheduling: The last decade. European Journal Operational Research, 71(3), 325–333.
Ronen, D. (2011). The effect of oil price on containership speed and fleet size. Journal of the Operational Research Society, 62(1), 211–216.
Sambracos, E., Paravantis, J. A., Tarantilis, C. D., & Kiranoudis, C. T. (2004). Dispatching of small containers via coastal freight liners: The case of the Aegean Sea. European Journal of Operational Research, 152(2), 365–381.
Shintani, K., Imai, A., Nishimura, E., & Papadimitriou, S. (2007). The container shipping network design problem with empty container repositioning. Transportation Research Part E: Logistics and Transportation Review, 43(1), 39–59.
Song, D., & Panayides, P. M. (2002). A conceptual application of cooperative game theory to liner shipping strategic alliances. Maritime Policy and Management, 29(3), 285–301.
Tran, N. K., & Haasis, H. (2015). Literature survey of network optimization in container liner shipping. Flexible Services and Manufacturing Journal, 27(2–3), 139–179.
UNCTAD, (2015). Review of maritime transport. Geneva, (UNCTAD/RMT/2015).
Wang, S., & Meng, Q. (2011). Schedule design and container routing in liner shipping. Transportation Research Record: Journal of the Transportation Research Board, 2222, 25–33.
Wang, S., & Meng, Q. (2012a). Liner ship route schedule design with sea contingency time and port time uncertainty. Transportation Research Part B: Methodological, 46(5), 615–633.
Wang, S., & Meng, Q. (2012b). Liner ship fleet deployment with container transshipment operations. Transportation Research Part E: Logistics and Transportation Review, 48(2), 470–484.
Wang, S., & Meng, Q. (2012c). Sailing speed optimization for container ships in a liner shipping network. Transportation Research Part E: Logistics and Transportation Review, 48(3), 701–714.
Wang, S., & Meng, Q. (2012d). Robust schedule design for liner shipping services. Transportation Research Part E: Logistics and Transportation Review, 48(6), 1093–1106.
Wang, S., Meng, Q., & Bell, M. G. (2013). Liner ship route capacity utilization estimation with a bounded polyhedral container shipment demand pattern. Transportation Research Part B: Methodological, 47, 57–76.
Wang, S., Meng, Q., & Liu, Z. (2013). A note on “Berth allocation considering fuel consumption and vessel emissions”. Transportation Research Part E: Logistics and Transportation Review, 49(1), 48–54.
Wang, S., Wang, T., & Meng, Q. (2011). A note on liner ship fleet deployment. Flexible Services and Manufacturing Journal, 23(4), 422–430.
Author information
Authors and Affiliations
Corresponding author
Appendix
Appendix
See Tables 11, 12, 13, 14, 15, 16, 17, 18.


Rights and permissions
About this article
Cite this article
Herrera, M., Agrell, P.J., Manrique-de-Lara-Peñate, C. et al. Vessel capacity restrictions in the fleet deployment problem: an application to the Panama Canal. Ann Oper Res 253, 845–869 (2017). https://doi.org/10.1007/s10479-016-2262-9
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10479-016-2262-9