Journal of Jilin University(Engineering and Technology Edition) ›› 2024, Vol. 54 ›› Issue (5): 1347-1354.doi: 10.13229/j.cnki.jdxbgxb.20230005

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Integrated optimization of storage space allocation and yard crane scheduling in import container yards

Jin ZHU(),Yang LIU   

  1. Institute of Logistics Science and Engineering,Shanghai Maritime University,Shanghai 201306,China
  • Received:2023-01-04 Online:2024-05-01 Published:2024-06-11

Abstract:

Aiming at the problem of balance and efficiency of yard crane operation, a time phased balance strategy (TPBS) is designed. Considering the constraints of safe distance between yard cranes and yard capacity, a mixed integer programming model is established to minimize the variance of workload and total operation time of double yard cranes. In order to solve the established model and analyze the calculation example, Simulated annealing genetic algorithm (SAGA) is developed. Through the comparative experiments of different algorithms and the comparative experiments and analysis of three balancing strategies when the number of containers is 80~500, the experimental results show that the target values of SAGA are reduced by 7.32% and 20.66% respectively compared with GA and SA. The time division balancing strategy can promote the balance of yard crane operation, shorten the completion time of container loading and unloading tasks, effectively improve the utilization of yard space, and help improve the overall operation efficiency of yard crane.

Key words: time-phased balancing strategy, storage space allocation, yard crane scheduling, mixed integer programming model, simulated annealing genetic algorithm

CLC Number: 

  • U169.6

Fig.1

Diagram of matching vessels and the block segments"

Fig.2

Schematic diagram of chromosomes"

Fig.3

Crossover and mutation operations"

Fig.4

Flow chart of algorithm"

Table 1

Initial stacking state of each bay in the block"

贝位号箱量贝位号箱量贝位号箱量
162194114
2822114211
31023124314
4624144410
5132510458
6162612469
714278477
810286486
9122984910
10133075010
1116317517
126325528
136339539
147347544
15935105512
16113613567
17737115710
18143814588
1983911599
2054096012

Table2

Comparison of different strategies"

规模文献[11]策略TPBS
方差总时间/min目标值作业效率/(箱·h-1方差总时间/min目标值作业效率/(箱·h-1
808300.75154.3815.960275.98137.9917.39
12018439.83228.9216.370410.96205.4817.52
15018556.24287.1216.180515.76257.8817.45
200128717.27422.6416.730681.43340.7217.61
3002001089.59644.8016.5201036.87518.4417.36
5002421817.081029.5416.5101743.17871.5917.21

Fig.5

Objective value varies with different time period sizes"

Fig.6

Evolution diagram of algorithms"

Table 3

Experiments comparing the algorithm with CPLEX"

规模CPLEXSAGAGASA
OBJT/sOBJGAP/%T/sOBJGAP/%T/sOBJGAP/%T/s
80128.542786.3137.997.35974.5161.9225.971836.6203.8258.571305.6
120193.463266.5205.486.211137.6228.6318.182217.5286.1747.921746.6
150239.454733.5257.887.701859.7286.1819.523834.9350.8846.543446.8
200322.626352.7340.725.612463.6371.2815.085014.8437.1935.514682.5
300491.639236.2518.445.453915.4554.3712.768275.5653.8432.997615.3
500829.3519582.3871.595.097859.8913.9710.2015952.71 007.4621.4813672.5

Fig.7

Gantt diagram of bay allocation and double yard cranes scheduling"

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