针对海上液货补给方案的决策问题，采用加权法建立多目标决策数学模型，利用层次分析法确定约束条件的权重矩阵。引入排列组合等数值计算方法计算出可行的补给方案。分别通过TOPSIS逼近理想解排序法与PSO粒子群优化算法带入所建立的数学模型进行迭代计算直到获得最优的补给方案。通过实际被补给需求给定的液货量，利用上述方法进行数值模拟计算，可以快速准确地提供补给方案的决策依据。
For solving decision problem about liquid cargo replenishment scheme, the mathematic model of scheme-decision problem is built based on weighting method. In order to simplify the model, the multi-objective problem (MOP) can be change into a single objective problem (SOP). The weight matrix of three sub-object is determined through analysis hierarchy process (AHP). Permutation and combination method is used to find all possible replenishment schemes and technique for order preference by similarity to an ideal solution (TOPSIS) theory and particle swarm optimization (PSO) algorithm are taken into the mathematic model to calculate best solutions from possible replenishment schemes respectively. The simulated numerical results indicate that the effectiveness of mathematic model and reliability of algorithm proposed in this paper, also can improve efficiency and security of liquid cargo replenishment.
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