Skip to main content

Abstract

This paper discusses a method for scheduling Berth and Quay cranes, which are critical resources in port container terminals. An integer programming model is formulated by considering various practical constraints. A two-phase solution procedure is suggested for solving the mathematical model. The first phase determines the Berthing position and time of each vessel as well as the number of cranes assigned to each vessel at each time segment. The subgradient optimization technique is applied to obtain a near-optimal solution of the first phase. In the second phase, a detailed schedule for each Quay crane is constructed based on the solution found from the first phase. The dynamic programming technique is applied to solve the problem of the second phase. A numerical experiment was conducted to test the performance of the suggested algorithms.

This research has been supported in part by Brain Korea 21 Program (1999–2002).

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Brown GG, Lawphongpanich S, Thurman KP (1995) Optimizing ship Berthing. Naval Research Logistics 41: 1–15

    Google Scholar 

  2. Daganzo CF (1989) The crane scheduling problem. Transportation Research 23B(3): 159–175

    MathSciNet  Google Scholar 

  3. Geoffrion M (1974) Lagrangean relaxation for integer programming. Mathematical Programming Study 2: 82–114

    MATH  MathSciNet  Google Scholar 

  4. Held M, Wolfe P, Crowder HP (1974) Validation of sub-gradient optimization. Mathematical Programming 6: 62–88

    Article  MathSciNet  Google Scholar 

  5. Imai A, Nishimura E, Papadimitriou S (2001) The dynamic Berth allocation problem for a container port. Transportation Research (Part B) 35: 401–417

    Google Scholar 

  6. Lai KK, Shih K (1992) A study of container Berth allocation. Journal of Advanced Transportation 26(1): 45–60

    Article  Google Scholar 

  7. Li C-L, Cai X, Lee C-Y (1998) Scheduling with multiple-job-on-one-processor pattern. IIE Transactions 30: 433–445

    Article  Google Scholar 

  8. Lim (1998) The Berth planning problem. Operation Research Letters 22: 105–110

    Google Scholar 

  9. Murty KG (1992) Network programming. Prentice Hall, Englewood Cliffs, NJ

    Google Scholar 

  10. Nishimura E, Imai A, Papadimitriou S (2001) Berth allocation planning in the public Berth system by genetic algorithms. European Journal of Operational Research 131: 282–292

    Article  Google Scholar 

  11. Peterkofsky RI, Daganzo CF (1990) A branch and bound solution method for the crane scheduling problem. Transportation Research 24B(3): 159–172

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Park, YM., Kim, K.H. (2005). A scheduling method for Berth and Quay cranes. In: Günther, HO., Kim, K.H. (eds) Container Terminals and Automated Transport Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26686-0_7

Download citation

Publish with us

Policies and ethics