Optimal ECR in General Inland Transportation Systems with Uncertainty: Periodic Review

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Modelling Empty Container Repositioning Logistics

Abstract

This chapter consists of two parts. In the first part, we consider the optimal ECR problems for general inland transportation systems with multiple interconnected depots over multiple time periods. On the one hand, there are laden and empty container flows between depots. On the other hand, each depot is facing external supply and demand of empty containers, which means empty containers may enter or exit the system at each depot. Three stochastic dynamic programming models are formulated based on periodic review mechanisms including (i) a multi-depot transportation system without transfer seaports; (ii) a multi-depot transportation system with transfer seaports; (iii) an intermodal multi-depot transportation system with transfer seaports. In the second part, facing the challenge of dynamic decision making in stochastic systems, various optimization methods are introduced to solve the optimization problems. Specifically, we discuss the applications of approximate dynamic programming methods, simulation methods, metaheuristic optimization methods, stochastic approximation methods, perturbation analysis methods, and ordinal optimization methods. Their relative advantages and disadvantages are explained. Finally, a summary and a note are provided.

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References

  • Banks, J., Carson, J. S., Nelson, B. L., & Nicol, D. M. (2000). Discrete event systems simulation (3rd ed.). Prentice Hall.

    Google Scholar 

  • Bertsekas, D., & Tsitsiklis, J. (1996). Neuro-dynamic programming. Athena Scientific.

    Google Scholar 

  • Blum, C., & Roli, A. (2003). Metaheuristics in combinatorial optimization: Overview and conceptual comparison. ACM Computing Surveys, 35(3), 268–308.

    Article  Google Scholar 

  • Cassandras, C. G., & Lafortune, S. (2008). Introduction to discrete event systems (2nd ed.). Springer.

    Book  Google Scholar 

  • Dang, Q. V., Nielsen, I., & Yun, W. Y. (2013). Replenishment policies for empty containers in an inland multi-depot system. Maritime Economics & Logistics, 15, 120–149.

    Google Scholar 

  • Dong, J. X., & Song, D. P. (2009). Container fleet sizing and empty repositioning in liner ship** systems. Transportation Research Part E, 45(6), 860–877.

    Article  Google Scholar 

  • Dorigo, M., Maniezzo, V., & Colorni, A. (1996). The ant system: Optimization by a colony of cooperating agents. IEEE Transactions on Systems, Man and Cybernetics Part-B, 26, 29–41.

    Article  Google Scholar 

  • Eberhart, R., & Kennedy, J. (1995, October 4–6). A new optimizer using particle swarm theory. In Proceeding of the Sixth International Symposium on Micro Machine and Human Science (pp. 39–43), Nagoya.

    Google Scholar 

  • Fu, M. C. (1994). Optimization via simulation: A review. Annals of Operations Research, 53(1), 199–247.

    Article  Google Scholar 

  • Fu, M. C. (2002). Optimization for simulation: Theory vs. practice. INFORMS Journal on Computing, 14(3), 192–215.

    Google Scholar 

  • Fu, M. C. (2015). Handbook of simulation optimization. Springer.

    Book  Google Scholar 

  • Garrido, J. M. (1998). Practical process simulation: Using object-oriented techniques and C++. Artech House.

    Google Scholar 

  • Glasserman, P. (1991). Gradient estimation via perturbation analysis. Kluwer Academic Publication.

    Google Scholar 

  • Glover, F. (1977). Heuristics for integer programming using surrogate constraints. Decision Sciences, 8(1), 156–166.

    Article  Google Scholar 

  • Glover, F. (1989). Tabu search—Part I. ORSA Journal on Computing, 1(3), 190–206.

    Article  Google Scholar 

  • Goldberg, D. E. (1989). Genetic algorithms in search, optimization and machine learning. Addison-Wesley.

    Google Scholar 

  • Ho, Y. C. (1987). Performance evaluation and perturbation analysis of discrete systems: Perspective and open problems. IEEE Transactions on Automatic Control, 32, 563–572.

    Article  Google Scholar 

  • Ho, Y. C., & Cao, X. R. (1991). Perturbation analysis of discrete event dynamic systems. Kluwer Academic Publication.

    Book  Google Scholar 

  • Ho, Y. C., Sreenivas, R., & Vakili, P. (1992). Ordinal optimization of DEDS. Discrete Event Dynamic Systems: Theory and Applications, 2, 61–88.

    Article  Google Scholar 

  • Ho, Y. C., Zhao, Q. C., & Jia, Q. S. (2007). Ordinal optimization: Soft optimization for hard problems. Springer.

    Book  Google Scholar 

  • Karaboga, D. (2010). Artificial bee colony algorithm. Scholarpedia, 5(3), 6915.

    Article  Google Scholar 

  • Kirkpatrick, S., Gelatt, C. D., & Vecchi, M. P. (1983). Optimization by simulated annealing. Science, 220(4598), 671–679.

    Article  Google Scholar 

  • Kleinman, N. L., Spall, J. C., & Naiman, D. Q. (1999). Simulation-based optimization with stochastic approximation using common random numbers. Management Science, 45(11), 1570–1578.

    Article  Google Scholar 

  • Lam, S. W., Lee, L. H., & Tang, L. C. (2007). An approximate dynamic programming approach for the empty container allocation problem. Transportation Research Part C, 15(4), 265–277.

    Article  Google Scholar 

  • Lee, L. H., Chew, E. P., & Luo, Y. (2012). Empty container management in multi-port system with inventory-based control. International Journal on Advances in Systems and Measurements, 5, 164–177.

    Google Scholar 

  • Marbach, P., & Tsitsiklis, J. N. (2001). Simulation-based optimization of Markov reward processes. IEEE Transactions on Automatic Control, 46(2), 191–209.

    Article  Google Scholar 

  • Powell, W. B. (2009). What you should know about approximate dynamic programming. Naval Research Logistics, 56(3), 239–249.

    Article  Google Scholar 

  • Powell, W. B. (2011). Approximate dynamic programming: Solving the curses of dimensionality (2nd ed.). Wiley.

    Book  Google Scholar 

  • Qi, X., & Song, D.-P. (2012). Minimizing fuel emissions by optimizing vessel schedules in liner ship** with uncertain port times. Transportation Research Part E, 48(4), 863–880.

    Article  Google Scholar 

  • Rubinstein, R. Y. (1986). Monte Carlo optimization. Wiley.

    Google Scholar 

  • Song, D. P., Hicks, C., & Earl, C. F. (2001). Setting planned job release times in stochastic assembly systems with resource constraints. International Journal of Production Research, 39(6), 1289–1301.

    Article  Google Scholar 

  • Song, D. P., Hicks, C., & Earl, C. F. (2006). An ordinal optimization based evolution strategy to schedule complex make-to-order products. International Journal of Production Research, 44(22), 4877–4895.

    Article  Google Scholar 

  • Song, D. P., & Sun, Y. X. (1998). Gradient estimate for parameter design of threshold controllers in a failure-prone production line. International Journal of Systems Science, 29(1), 21–32.

    Article  Google Scholar 

  • Sorensen, K., & Glover, F. (2013). Metaheuristics. In S. I. Gass & M. Fu (Eds.), Encyclopedia of operations research and management science (pp. 960–970). Springer.

    Chapter  Google Scholar 

  • Sutton, R., & Barto, A. (1998). Reinforcement learning. The MIT Press.

    Google Scholar 

  • Wardi, Y., Cassandras, C. G., & Cao, X. R. (2018). Perturbation analysis: A framework for data-driven control and optimization of discrete event and hybrid systems. Annual Reviews in Control, 45, 267–280.

    Article  Google Scholar 

  • Xu, W., & Song, D. P. (2021). Integrated optimization for production capacity, raw material ordering and production planning under time and quantity uncertainties based on two case studies. Operational Research (in press).

    Google Scholar 

  • Yun, W. Y., Lee, Y. M., & Choi, Y. S. (2011). Optimal inventory control of empty containers in inland transportation system. International Journal of Production Economics, 133(1), 451–457.

    Article  Google Scholar 

  • Zhao, Y., Xue, Q., & Zhang, X. (2018). Stochastic empty container repositioning problem with CO2 emission considerations for an intermodal transportation system. Sustainability, 10, 4211.

    Article  Google Scholar 

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Correspondence to Dong-** Song .

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Song, DP., Dong, J. (2022). Optimal ECR in General Inland Transportation Systems with Uncertainty: Periodic Review. In: Modelling Empty Container Repositioning Logistics. Springer, Cham. https://doi.org/10.1007/978-3-030-93383-8_6

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