Skip to main content

Using a Bin Packing Approach for Stowing Hazardous Containers into Containerships

  • Chapter
Optimized Packings with Applications

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 105))

Abstract

This chapter addresses the problem of determining stowage plans for containers into a ship, which is the so-called master bay plan problem (MBPP). As a novel issue and variant of MBPP, in the present work we consider the stowage of hazardous containers that follows the principles included in the segregation table of the International Maritime Dangerous Goods (IMDG) Code. Formally, the MBPP consists in determining how to stow a set of n containers, split into different groups, according to their size, type, class of weight and destinations, into a set of m available slots, that are locations either on the deck or in the stow, of predetermined bays of a containership. Some structural and operational constraints, related to both the containers and the ship, have to be satisfied. The need of stowing dangerous goods implies to take into account additional constraints to be verified in each slot concerning the safety of the whole cargo, for which dangerous goods are categorized into different types and forced to be stowed away from incompatible ones. We face such variant of MBPP on the basis of its relationship with the bin packing problem, where items are containers and the bins are sections of the ship available for the stowage of hazardous containers. In particular, following a step by step procedure for properly loading all containers on board, we show how the segregation rules derived from the IMDG Code impact on the available slots of the bins. A real life case study is reported.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
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

References

  1. Stahlbock, R., Voss, S.: Operations research at container terminal: a literature update. OR Spectr. 30, 1–52 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  2. Bortfeldt, A., Wäscher, G.: Constraints in container loading – a state-of-the-art review. Eur. J. Oper. Res. 229, 1–20 (2013)

    Article  Google Scholar 

  3. Lehnfeld, J., Knust, S.: Loading, unloading and premarshalling of stacks in storage areas: survey and classification. Eur. J. Oper. Res. 239, 297–312 (2014)

    Article  MathSciNet  Google Scholar 

  4. Ambrosino, D., Sciomachen, A., Tanfani, E.: Stowing a containership: the Master Bay Plan problem. Transport. Res. A 38, 81–99 (2004)

    Article  Google Scholar 

  5. Avriel, M., Penn, M., Shpirer, N.: Container ship stowage problem: complexity and connection to the colouring of circle graphs. Discret. Appl. Math. 103, 271–279 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  6. Ambrosino, D., Anghinolfi, D., Paolucci, M., Sciomachen, A.: An experimental comparison of different metaheuristics for the Master Bay Plan Problem. In: Festa, P. (ed.) Experimental Algorithms. Lecture Notes in Computer Science, pp. 314–325. Springer, Berlin (2010)

    Google Scholar 

  7. Imai, A., Sasaki, K., Nishimura, E., Papadimitriou, S.: Multi-objective simultaneous stowage and load planning for a container ship with container rehandle in yard stacks. Eur. J. Oper. Res. 171, 373–389 (2006)

    Article  MATH  Google Scholar 

  8. Ambrosino, D., Anghinolfi, D., Paolucci, M., Sciomachen, A.: Experimental evaluation of mixed integer programming models for the multi-port master bay plan problem. Flex. Serv. Manuf. J. (2013). doi:10.1007/s10696-013-9185-4

    MATH  Google Scholar 

  9. Delgado, A., Jensen, R.M., Janstrup, K., Rose, T.H., Andersen, K.H.: A constraint programming model for fast optimal stowage of container vessel bays. Eur. J. Oper. Res. 220(1), 251–261 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  10. Sciomachen, A., Tanfani, E.: The master bay plan problem: a resolution method based on its connection to the three-dimensional bin packing problem. IMA, J. Manage. Math. 14(3), 251–269 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  11. Zhang, W.-Y., Lin, Y., Jj, Z.-S.: Model and algorithm for container ship stowage planning based on bin packing problem. J. Mar. Sci. Appl. 4(3), 30–36 (2005)

    Article  Google Scholar 

  12. Sciomachen, A., Tanfani, E.: A 3DD packing approach for optimising stowage plans and terminal productivity. Eur. J. Oper. Res. 183(3), 1433–1446 (2007)

    Article  MATH  Google Scholar 

  13. De Queiroz, T.A., Miyazawa, F.: Two-dimensional strip packing problem with load balancing, load bearing and multi-drop constraints. Int. J. Prod. Econ. 145, 511–530 (2013)

    Article  Google Scholar 

  14. Wäscher, G., Haussne, H., Schumann, H.: An improved typology of cutting and packing problems. Eur. J. Oper. Res. 183(3), 1109–1130 (2007)

    Article  MATH  Google Scholar 

  15. Martello, S., Pisinger, D., Vigo, D.: The three-dimensional bin packing problem. Oper. Res. 48(2), 256–267 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  16. Oliveira, J.F., Wäscher, G.: Cutting and packing (editorial). Eur. J. Oper. Res. 183(3), 1106–1108 (2007)

    Article  Google Scholar 

  17. Ambrosino, D., Sciomachen, A., Tanfani, E.: A decomposition heuristics for the container ship stowage problem. J. Heuristics 12, 211–233 (2006)

    Article  MATH  Google Scholar 

Download references

Acknowledgements

The present work has been partially supported by the project “Analysis and development of mathematical models for stowage plans with hazardous containers, in accordance with international maritime regulations” within the 2012 research funds of the University of Genoa. The authors wish to thank their friends and colleagues Giorgia Boi and Monica Brignardello for their valuable guide in understanding and applying the main principles of the international maritime law.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Daniela Ambrosino .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Ambrosino, D., Sciomachen, A. (2015). Using a Bin Packing Approach for Stowing Hazardous Containers into Containerships. In: Fasano, G., Pintér, J. (eds) Optimized Packings with Applications. Springer Optimization and Its Applications, vol 105. Springer, Cham. https://doi.org/10.1007/978-3-319-18899-7_1

Download citation

Publish with us

Policies and ethics