基于交通运输问题的模糊多目标规划模型

Fuzzy Multi-objective Programming for Transportation Planning

从销售商的角度出发,建立了生产-销售的模糊多目标交通运输模型。该模型以寻求最少交通时间,最低运输成本为目标。同时要求销售地的进货量尽可能的满足市场需求量且不超过仓库存储能力,销售地的总进货量尽可能不大于生产地的预计供货能力且不超过生产地的最大供货能力,商品购买成本与运输费用之和尽可能不大于预算成本。并引进不确定分布函数与隶属度函数将该模型转换为确定型多目标规划模型。其次,借助maxmin法将该确定型模糊多目标规划模型转换为单目标线性规划模型进行求解。最后,借助于台湾某公司的实例来验证了所提出模型与求解方法的有效性和可行性。

From the perspective of sellers, this paper proposed a fuzzy multi-objective model for transportation planning. The aims of the proposed model are to minimize the transportation time and cost,which is under the condition that the retail purchases of sellers should meet the market demand and must not exceed the maximum inventory; the sum of the retail purchases of sellers should not exceed the estimated output of producers and must not exceed the maximum output; the sum of purchase cost and transportation cost of goods should not be higher than the budget cost. Then,the fuzzy data are described by introducing the uncertain distribution function and membership function,and the model is solved by maxmin method. At last,an example of a company in Taiwan is given to illustrate the effectiveness and feasibility of the proposed model and solving method.