Abstract
The demand for the maritime transportation has significantly increased over the past 20 years due to the rapid pace of globalization. Terminal managers confront the challenge in establishing the appropriate berth and quay crane (QC) coordinated schedule to achieve the earliest departure time of ship and to provide efficient service. In this paper, we propose a multi-objective berth and QC coordinated scheduling model, namely M-B&QC, by taking the minimum additional trucking distance and the port time of ships as the optimization objectives, with the constraints based on demand of port operations and vessel berthing. To solve the M-B&QC model, the particle coding rule and the particle feasible-integer processing module (namely PF-IP) for improving PSO performance are employed to determine the computation strategies of individual historical optimal value \(p_{i}^{G}\) and global optimal value \(P_{g}^{G}\) of particle for the multi-objective optimization. In addition, the global disturbance with cat mapping function (namely GDCM) and local search with cloud model (namely LSCM) are also hybridized, namely PM&CCPSO algorithm, to solve the M-B&QC model. Numerical experiments including eight combined examples are conducted to test the performance of the proposed programming model and the modified solving algorithm.
Similar content being viewed by others
References
Han XL, Lu ZQ, Xi LF (2010) A proactive approach for simultaneous berth and quay crane scheduling problem with stochastic arrival and handling time. Eur J Oper Res 207:1327–1340
Vis IFA, Koster R (2003) Transshipment of containers at a container terminal: an overview. Eur J Oper Res 147:1–16
Yang CX, Wang XJ, Li ZF (2012) An optimization approach for coupling problem of berth allocation and quay crane assignment in container terminal. Comput Ind Eng 63:243–253
Li MW, Hong WC, Kang HG (2013) Urban traffic flow forecasting using Gauss-SVR with cat mapping, cloud model and PSO hybrid algorithm. Neurocomputing 99:230–240
Li MW, Kang HG, Zhou PH, Hong WC (2013) Hybrid optimization algorithm based on chaos, cloud and particle swarm optimization algorithm. J Syst Eng Electron 24:324–334
Li MW, Kang HG, Zhou PH (2013) Intersection traffic signal intelligent timing optimization based on chaos cloud particle swarm optimization algorithm. J Wuhan Unive Technol (Trans Sci Eng) 37:82–85
Lai KK, Shih K (1992) A study of container berth allocation. J Adv Trans 26:45–60
Brown GG, Lawphongpanich S, Thurman KP (1994) Optimizing ship berthing. Naval Res Logist 41:1–15
Brown GG, Cormican KJ, Lawphongpanich S, Widdis DB (1997) Optimizing submarine berthing with a persistence incentive. Naval Res Logist 44:301–318
Imai A, Nagaiwa K, Tat CW (1997) Efficient planning of berth allocation for container terminals in Asia. J Adv Trans 31:75–94
Imai A, Nishimura E, Papadimitriou S (2001) The dynamic berth allocation problem for a container port. Transp Res Part B 35:401–417
Hansen P, Oğuz C, Mladenovic N (2008) Variable neighborhood search for minimum cost berth allocation. Eur J Oper Res 191:636–649
Nishimura E, Imai A, Papadimitriou S (2001) Berth allocation planning in the public berth system by genetic algorithms. Eur J Oper Res 131:282–292
Monaco MF, Sammarra M (2007) The berth allocation problem: a strong formulation solved by a Lagrangean approach. Trans Sci 41:265–280
Cordeau JF, Laporte G, Legato P, Moccia L (2005) Models and tabu search heuristics for the berth-allocation problem. Trans Sci 39:526–538
Imai A, Nishimura E, Papadimitriou S (2003) Berth allocation with service priority. Transp Res Part B 37:437–457
Imai A, Nishimura E, Hattori M, Papadimitriou S (2007) Berth allocation at indented berths for mega-containerships. Eur J Oper Res 179:579–593
Imai A, Nishimura E, Papadimitriou S (2008) Berthing ships at a multi-user container terminal with a limited quay capacity. Transp Res Part E 44:136–151
Golias MM, Boile M, Theofains S (2010) A lambda-optimal based heuristic for the berth scheduling problem. Transp Res Part C 18:794–806
Golias MM, Boile M, Theofains S (2009) Berthing scheduling by customer service differentiation: a multi-objective approach. Transp Res Part E 45:878–892
Buhrkal K, Zuglian S, Ropke S, Larsen J, Lusby R (2011) Models for the discrete berth allocation problem: a computational comparison. Transp Res Part E 47:461–473
Christensen CG, Holst CT (2008) Berth allocation in container terminals. Master’s thesis, Department of informatics and mathematical modelling, Technical University of Denmark, April (in Danish)
Lim A (1998) The berth planning problem. Oper Res Lett 22:105–110
Li CL, Cai X, Lee CY (1998) Scheduling with multiple-job-on-one-processor pattern. IIE Trans 30:433–445
Guan Y, Cheung RK (2004) The berth allocation problem: models and solution methods. OR Spectrum 26:75–92
Wang F, Lim A (2007) A stochastic beam search for the berth allocation problem. Decis Support Syst 42:2186–2196
Guan Y, Xiao WQ, Cheung RK, Li CL (2002) A multiprocessor task scheduling model for berth allocation: heuristic and worst-case analysis. Oper Res Lett 30:343–350
Moon K (2000) A mathematical model and a heuristic algorithm for berth planning. Ph.D. Thesis, Pusan National University, Pusan
Park KT, Kim KH (2002) Berth scheduling for container terminals by using a sub-gradient optimization technique. J Oper Res Soc 53:1054–1062
Imai A, Sun X, Nishimura E, Papadimitriou S (2005) Berth allocation in a container port: using a continuous location space approach. Transp Res Part B 39:199–221
Chang D, Yan W, Chen CH, Jiang Z (2008) A berth allocation strategy using heuristics algorithm and simulation optimization. Int J Comput Appl Technol 32:272–281
Lee DH, Chen JH, Cao JX (2010) The continuous berth allocation problem: a greedy randomized adaptive search solution. Transp Res Part E 46:1017–1029
Zhen L, Lee LH, Chew EP (2011) A decision model for berth allocation under uncertainty. Eur J Oper Res 212:54–68
Imai A, Chen HC, Nishimura E, Papadimitriou S (2008) The simultaneous berth and quay crane allocation problem. Transp Res Part E 44:900–920
Zhou PF, Kang HG (2008) Study on berth and quay-crane allocation under stochastic environment in container terminal. Syst Eng Theory Pract 28:161–169
Liang C, Huang Y, Yang Y (2009) A quay crane dynamic scheduling problem by hybrid evolutionary algorithm for berth allocation planning. Comput Ind Eng 56:1021–1028
Park YM, Kim KH (2003) A scheduling method for berth and quay cranes. OR Spectrum 25:1–23
Oğuz C, Błazewicz J, Cheng TCE, Machowiak M (2004) Berth allocation as a moldable task scheduling problem. In: Proceedings of the ninth international workshop on project management and scheduling, Nancy, pp. 201–205
Zhang C, Zheng L, Zhang Z, Shi L, Armstrong AJ (2010) The allocation of berths and quay cranes by using a sub-gradient optimization technique. Comput Ind Eng 58:40–50
Chang D, Jiang Z, Yan W, He J (2010) Integrating berth allocation and quay crane assignments. Transp Res Part E 46:975–990
Meisel F, Bierwirth C (2009) Heuristics for the integration of crane productivity in the berth allocation problem. Transp Res Part E 45:196–209
Zhang LB, Zhou CG, Ma M, Liu XH (2004) Solutions of multi objective optimization problems based on particle swarm optimization. J Comput Res Dev 41:1286–1291
Yang CX, Wang N (2010) Berth-quay crane allocation in container terminal based on multi-objective genetic algorithm. Appl Res Comput 27:1720–1722
Xue F, Chen G, Gao S (2011) Solving 0–1 integer programming problem by hybrid particle swarm optimization algorithm. Comput Technol Autom 30:86–89
Zhang HJ, Le ML (2012) Research on container berth-quay crane allocation based on multi-objective PSO. J Wuhan Univ Technol 34:59–64
Peng JL, Li RJ, Li XL, Ju CH (2014) A Study of archipelago berth allocation based on hybrid particle swarm optimization algorithm. Ind Eng J 17:17–22
Acknowledgments
The work is supported by the National Natural Science Foundation of China(51509056), the Postdoctoral Science Foundation of China (2015M571394), the Heilongjiang Postdoctoral Fund (LBH-Z14059), the Fundamental Research Funds for the Central Universities (HEUCF150108), Science and Technology Project of Western Transportation Construction of Ministry of Communications (2014364554050), and Ministry of Science and Technology, Taiwan (MOST 104-2410-H-161-002).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Li, MW., Hong, WC., Geng, J. et al. Berth and quay crane coordinated scheduling using multi-objective chaos cloud particle swarm optimization algorithm. Neural Comput & Applic 28, 3163–3182 (2017). https://doi.org/10.1007/s00521-016-2226-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00521-016-2226-7