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Improving Port Container Terminal Efficiency with the use of Markov Theory

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Maritime Economics & Logistics Aims and scope

Abstract

The significance of using efficient ports in modern supply chains cannot be overstated. Gantry cranes are key elements of superstructure in port container terminals, as they are placed in the ship–berth interface. In this paper, Markov theory and reliability models are used for the estimation of the associated risks and costs that can result in delays due to machinery breakdowns in container terminals. The aim of this study is to estimate the risk of delays and the economic consequences for not only the container terminals, but for their users as well. Results show that Markov theory assists not only in the estimation of economic consequences of gantry crane breakdowns, but enables management to focus on problematic areas in terminal operations and to take the necessary decisions for their solution.

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References

  • Andrews, J and Moss, T . 2002: Reliability and risk assessment. Professional Engineering Publishing: U.K.

    Google Scholar 

  • Antao, P and Soares, G . 2006: Fault tree models of accident scenarios of RoPax Ships. International Journal of Automation and Computing 2: 107–116.

    Article  Google Scholar 

  • Bish, EK . 2003: A multiple-crane-constrained scheduling problem in a container terminal. European Journal of Operational Research 144: 83–107.

    Article  Google Scholar 

  • Briskorn, D, Drexl, A and Hartmann, S . 2006: Inventory-based dispatching of automated guided vehicles on container terminals. OR Spectrum 28: 611–630.

    Article  Google Scholar 

  • Cao, B and Uebe, G . 1995: Solving transportation problems with nonlinear side constrains with Tabu search. Computers and Operations Research 22: 593–603.

    Article  Google Scholar 

  • Chen, CS, Lee, SM and Shen, QS . 1995: An analytical model for the container loading problem. European Journal of Operational Research 80: 68–76.

    Article  Google Scholar 

  • Chen, T . 1999: Yard operations in the container terminal – a study in the ‘unproductive moves. Maritime Policy & Management 26: 27–38.

    Article  Google Scholar 

  • Chen, T, Lin, K and Juang, Y . 2000: Empirical studies on yard operations. Part 2: Quantifying unproductive moves undertaken in quay transfer operations. Maritime Policy & Management 27: 191–207.

    Article  Google Scholar 

  • Cullinane, K, Song, DW and Wang, T . 2005: The application of mathematical programming approaches to estimating container port production efficiency. Journal of Productivity Analysis 24: 73–92.

    Article  Google Scholar 

  • Daganzo, C . 1989: The crane scheduling problem. Transportation Research B 23: 159–175.

    Article  Google Scholar 

  • Dragovic, B, Park, N and Radmilovic, Z . 2006: Ship–Berth link performance evaluation: Simulation and analytical approaches. Maritime Policy and Management 33: 281–299.

    Article  Google Scholar 

  • Dragovic, B, Park, N, Radmilovic, Z and Maras, V . 2005: Simulation modelling of ship–berth link with priority service. Maritime Economics and Logistics 7: 316–335.

    Article  Google Scholar 

  • Evers, JJM and Koppers, SAJ . 1996: Automated guided vehicle traffic control at a container terminal. Transportation Research Part A 30: 21–34.

    Google Scholar 

  • Fleming, K . 2004: Markov models for evaluating risk-informed in-service inspection strategies for nuclear power plant piping systems. Reliability Engineering and System Safety 83: 27–45.

    Article  Google Scholar 

  • Garcia, A, Kassakian, J and Schindall, J . 2006: Reliability evaluation of the power supply of an electrical power net for safety-relevant applications. Reliability Engineering and System Safety 91: 505–514.

    Article  Google Scholar 

  • Goodshild, A and Daganzo, C . 2007: Crane double cycling in container ports: Planning methods and evaluation. Transportation Research B 41: 875–891.

    Article  Google Scholar 

  • Grunow, M, Gunther, H and Lehmann, M . 2004: Dispatching multi-load AGVs in highly automated seaport container terminals. OR Spectrum 26: 211–235.

    Article  Google Scholar 

  • Grunow, M, Gunther, H and Lehmann, M . 2006: Strategies for dispatching AGVs at automated seaport container terminals. OR Spectrum 28: 587–610.

    Article  Google Scholar 

  • Guan, Y and Cheung, RK . 2004: The berth allocation problem: Models and solution methods. OR Spectrum 26: 75–92.

    Article  Google Scholar 

  • Haralambides, H . 2002: Competition, excess capacity and the pricing of port infrastructure. Maritime Economics and Logistics 4: 323–347.

    Article  Google Scholar 

  • Haralambides, H, Cariou, P and Bennachio, M . 2002: Costs, benefits and pricing of dedicated container terminals. Maritime Economics and Logistics 4: 21–34.

    Article  Google Scholar 

  • Hartmann, S . 2004: A general framework for scheduling equipment and manpower at container terminals. OR Spectrum 26: 51–74.

    Article  Google Scholar 

  • Imai, A, Chen, HC, Nishimura, E and Papadimitriou, S . 2008a: The simultaneous berth and quay crane allocation problem. Transportation Research Part E: In press, available online 5 July 2007 44: 900–920.

    Article  Google Scholar 

  • Imai, A, Nishimura, E and Papadimitriou, S . 2008b: Berthing ships at a multi-user container terminal with a limited quay capacity. Transportation Research Part E 44: 136–151.

    Article  Google Scholar 

  • Imai, A, Nishimura, E, Papadimitriou, S and Sasaki, K . 2002: The containership loading problem. Maritime Economics and Logistics 4: 126–148.

    Article  Google Scholar 

  • Kim, KH, Kang, JS and Ryu, KR . 2004: A beam search algorithm for the load sequencing of outbound containers in port container terminals. OR Spectrum 26: 93–116.

    Article  Google Scholar 

  • Kim, KH and Kim, KY . 2007: Optimal price schedules for storage of inbound containers. Transportation Research Part B 41: 892–905.

    Article  Google Scholar 

  • Kim, KH and Moon, KC . 2003: Berth scheduling by simulated annealing. Transportation Research Part B 37: 541–560.

    Article  Google Scholar 

  • Kim, KY and Kim, KH . 1997: A routing algorithm for a single transfer crane to load export containers onto a containership. Computers and Industrial Engineering 33: 673–676.

    Article  Google Scholar 

  • Kim, KY and Kim, KH . 1999: Routing straddle carriers for the loading operation of containers using a beam search algorithm. Computers and Industrial Engineering 36: 109–136.

    Article  Google Scholar 

  • Koh, Y . 2001: Optimal investment priority in container port development. Maritime Policy & Management 28: 109–123.

    Article  Google Scholar 

  • Koo, P, Lee, W and Jang, D . 2004: Fleet sizing and vehicle routing for container transportation in a static environment. OR Spectrum 26: 193–209.

    Article  Google Scholar 

  • Kozan, E and Preston, P . 1999: Genetic algorithms to schedule container transfers at multimodal terminals. International Transactions in Operational Research 6: 311–329.

    Article  Google Scholar 

  • Kozan, E and Preston, P . 2006: Mathematical modeling of container transfers and storage locations at seaport terminals. OR Spectrum 28: 519–537.

    Article  Google Scholar 

  • Lagoudis, I, Lalwani, C and Naim, M . 2004: A generic systems model for Ocean shipping companies in the bulk sector. Transportation Journal 43: 56–76.

    Google Scholar 

  • Li, CL and Vairaktarakis, GL . 2004: Loading and unloading operations in container terminals. IIE Transactions 36: 287–297.

    Article  Google Scholar 

  • Linn, R, Liu, J, Wan, Y, Zhang, C and Murty, K . 2003: Rubber tired gantry crane deployment for container yard operation. Computers & Industrial Engineering 45: 429–442.

    Article  Google Scholar 

  • Maloni, M and Jackson, E . 2005: North American container port capacity: A literature review. Transportation Journal 44: 1–22.

    Google Scholar 

  • Moorthy, R and Teo, CP . 2006: Berth management in container terminal: The template design problem. OR Spectrum 28: 495–518.

    Article  Google Scholar 

  • Nishimura, E, Imai, A and Papadimitriou, S . 2005: Yard trailer routing at a maritime container terminal. Transportation Research E 41: 53–76.

    Article  Google Scholar 

  • Notteboom, T, Coeck, C and van den Broeck, J . 2000: Measuring and explaining the relative efficiency of container terminals by means of Bayesian stochastic frontier models. Maritime Economics and Logistics 2: 83–106.

    Article  Google Scholar 

  • Pages, A . 1986: System reliability: Evaluation and prediction in engineering. Springer: NY.

    Google Scholar 

  • Park, KT and Kim, KH . 2002: Berth scheduling for container terminals by using a sub-gradient optimization technique. Journal of the Operational Research Society 53: 1054–1062.

    Article  Google Scholar 

  • Park, YM and Kim, KH . 2003: A scheduling method for berth and quay cranes. OR Spectrum 25: 1–23.

    Article  Google Scholar 

  • Peterkofsky, R and Daganzo, C . 1990: A branch and bound solution method for the crane scheduling problem. Transportation Research B 24: 159–172.

    Article  Google Scholar 

  • Platis, A . 2002: An extension of the Performability measure and application in system reliability. International Journal of Computational and Numerical Analysis and Applications 1: 87–101.

    Google Scholar 

  • Song, D and Yeo, K . 2004: A competitive analysis of Chinese container ports using the analytic hierarchy process. Maritime Economics & Logistics 6: 34–52.

    Article  Google Scholar 

  • Steenken, D, Voí, S and Stahlbock, R . 2004: Container terminal operation and operations research – a classification and literature review. OR Spectrum 26: 3–49.

    Article  Google Scholar 

  • Trivedi, K, Giardo, G, Malhorta, M and Sahner, R . 1993: Dependability and performability analysis. In: Dontatiella, L and Nelson, R (eds). Performance Evaluation of Computer and Communication Systems: Joint Tutorial Papers of Performance '93 and Sigmetrics '93 (Lecture Notes in Computer Science), Springer: Germany, pp. 587–612.

  • UNCTAD. 2006: Review of maritime report. UNITED NATIONS: Geneva.

  • UNCTAD. 2007: Review of maritime report. UNITED NATIONS: Geneva.

  • Villemeur, A . 1992: Reliability, availability, maintainability and safety assessment. John Willey and Sons: NY.

    Google Scholar 

  • Wang, T and Cullinane, K . 2006: The efficiency of European container terminals and implications for supply Chain management. Maritime Economics and Logistics 8: 82–99.

    Article  Google Scholar 

  • Yi, D, Kim, S and Choi, H . 2000: Developing a conceptual model for sharing container terminal resources: A case study of the Gamman container terminal. Maritime Policy & Management 27: 155–167.

    Article  Google Scholar 

Download references

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Correspondence to Ioannis Lagoudis.

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Mennis, E., Platis, A., Lagoudis, I. et al. Improving Port Container Terminal Efficiency with the use of Markov Theory. Marit Econ Logist 10, 243–257 (2008). https://doi.org/10.1057/mel.2008.3

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