Skip to main content

The Stowage Stack Minimization Problem with Zero Rehandle Constraint

  • Conference paper
Modern Advances in Applied Intelligence (IEA/AIE 2014)

Abstract

The stowage stack minimization problem with zero rehandle constraint (SSMP-ZR) aims to find a minimum number of stacks to accommodate all the containers in a multi-port voyage without occurring container rehandles. In this paper, we first give the integer models of the SSMP-ZR (with uncapacitated and capacitated stack height). Next, heuristic algorithms are proposed to construct solutions to the SSMP-ZR. The theoretical performance guarantee of the algorithms is then discussed. To evaluate the actual performance of the algorithms, we conduct experiments on a set of instances with practical size. The results demonstrate that our heuristic approaches can generate very promising solutions compared with the random loading solutions and integer programming solutions by CPLEX.

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 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

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Ambrosino, D., Anghinolfi, D., Paolucci, M., Sciomachen, A.: A new three-step heuristic for the Master Bay Plan Problem. Maritime Economics & Logistics 11(1), 98–120 (2009)

    Article  Google Scholar 

  2. Avriel, M., Penn, M., Shpirer, N.: Container ship stowage problem: Complexity and connection to the coloring of circle graphs. Discrete Applied Mathematics 103(1), 271–279 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  3. Avriel, M., Penn, M., Shpirer, N., Witteboon, S.: Stowage planning for container ships to reduce the number of shifts. Annals of Operations Research 76, 55–71 (1998)

    Article  MATH  Google Scholar 

  4. Dubrovsky, O., Levitin, G., Penn, M.: A genetic algorithm with a compact solution encoding for the container ship stowage problem. Journal of Heuristics 8(6), 585–599 (2002)

    Article  Google Scholar 

  5. Garey, M.R., Johnson, D.S., Miller, G.L., Papadimitriou, C.H.: The Complexity of Coloring Circular Arcs and Chords. SIAM Journal Algebraic and Discrete Methods 1(2), 216–227 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  6. Gavril, F.: Algorithms for a maximum clique and a maximum independent set of a circle graph. Networks 3(3), 261–273 (1973)

    Article  MATH  MathSciNet  Google Scholar 

  7. Gümüş, M., Kaminsky, P., Tiemroth, E., Ayik, M.: A multi-stage decomposition heuristic for the container stowage problem. In: Proceedings of the MSOM Conference (2008)

    Google Scholar 

  8. 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. European Journal of Operational Research 171(2), 373–389 (2006)

    Article  MATH  Google Scholar 

  9. Jensen, R.M.: On the complexity of container stowage planning. Tech. rep. (2010)

    Google Scholar 

  10. Salido, M.A., Sapena, O., Rodriguez, M., Barber, F.: A planning tool for minimizing reshuffles in container terminals. In: IEEE International Conference on Tools with Artificial Intelligence (2009)

    Google Scholar 

  11. Unger, W.: On the k-colouring of circle-graphs. In: Cori, R., Wirsing, M. (eds.) STACS 1988. LNCS, vol. 294, pp. 61–72. Springer, Heidelberg (1988)

    Google Scholar 

  12. Webster, W.C., Van Dyke, P.: Container loading: a container allocation model I and II: introduction, background, stragegy, conclusion. In: Computer-Aided Ship Design Engineering Summer Conference (1970)

    Google Scholar 

  13. Wilson, I.D., Roach, P.A.: Principles of combinatorial optimization applied to container-ship stowage planning. Journal of Heuristics 5(4), 403–418 (1999)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Wang, N., Zhang, Z., Lim, A. (2014). The Stowage Stack Minimization Problem with Zero Rehandle Constraint. In: Ali, M., Pan, JS., Chen, SM., Horng, MF. (eds) Modern Advances in Applied Intelligence. IEA/AIE 2014. Lecture Notes in Computer Science(), vol 8482. Springer, Cham. https://doi.org/10.1007/978-3-319-07467-2_48

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-07467-2_48

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07466-5

  • Online ISBN: 978-3-319-07467-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics