Optimization model and ACO of ship assignment for international liner transportation
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摘要: 针对国际班轮运输的航线配船问题, 分析了传统的动态航线配船模型。基于固定航线、船舶船型和数量, 分析了货运量、港口使用费、燃油成本与过河费的影响。以最小经营成本作为目标函数, 以船舶数量与运量作为约束条件, 建立了一种新的航线配船优化模型。基于邻域搜索技术, 利用蚁群算法求解模型, 并选取3条具有代表性的航线进行实例验证。计算结果表明: 在满足货运需求的前提下, 3条航线优化后的成本分别为13 372.3、9 333.9、13 946.4万元, 总成本为36 652.6万元, 减少了110.6万元; 采用遗传算法, 3条航线的成本分别为13 405.1、9 341.6、14 012.7万元, 总成本为36 759.4万元; 采用模拟退火算法, 3条航线的成本分别为13 398.5、9 339.7、13 985.9万元, 总成本为36 724.1万元。国际班轮运输航线配船优化模型可行, 蚁群算法针对航线配船模型具有较好的优势。Abstract: Aiming at the ship assignment problem of international liner transportation, the traditional dynamic ship assignment models were analyzed. Based on the fixed routes, ship types and ship amount, the influences of freight volume, port charge, fuel cost and river-crossing cost were analyzed. The minium operating cost was taken as objective function, ship amount and ship transportation volume were taken as constraint conditions, and a new optimization model of ship assignment was set up. Based on the neighborhood search technology, ant colony optimization (ACO) was used to solve the model, and example verification was carried out by using three typical routes. Calculation result shows that when the freight transportation demand can be satisfied, the optimization costs of the three typical routes are 133 723 000, 93 339 000, 139 464 000 yuan respectively, the total cost is 366 526 000 yuan and reduces by 1 106 000 yuan. By using genetic algorithm, the costs of the three typical routes are 134 051 000, 93 416 000, 140 127 000 yuan respectively, the total cost is 367 594 000 yuan. By using simulated annealing algorithm, the costs of the three typical routes are 133 985 000, 93 397 000, 139 859 000 yuan respectively, the total cost is 367 241 000 yuan. The optimization model of ship assignment for international liner transportation is feasible, and ACO has good advantage on the optimization model of ship assignment.
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Key words:
- ocean transportation /
- ship assignment /
- optimization model /
- ant colony optimization /
- cost control
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表 1 船舶数据
Table 1. Ship data
表 2 航线数据
Table 2. Route data
表 3 船舶成本
Table 3. Ship costs
表 4 燃油成本与货运量
Table 4. Fuel costs and freight volumes
表 5 优化前的航线成本
Table 5. Route costs before optimization
表 6 航线分配
Table 6. Route distribution
表 7 优化后的航线成本
Table 7. Route costs after optimization
表 8 计算结果对比
Table 8. Comparison of calculation results
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