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.

replenishment scheme decision  /  optimal method  /  multi-objective decision  /  TOPSIS theory  /  PSO algorithm