Mathematical Model for Ordering and Transporting Raw Materials for Production Companies

Liang Gao, L. Cheng, Yanxiang Wang, Zhenwei Ma
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Abstract

: This paper analyzes the problem of ordering and transporting raw materials for production in an enterprise, and uses a linear programming model to solve the following problems: (1) The problem that suppliers cannot supply goods according to demand is solved. We use the TOPSIS evaluation model to weight each supplier according to different indicators to derive the importance value of suppliers and select 50 suppliers that meet the requirements. We analyze the data and calculate the minimum number of suppliers to supply raw materials to meet the demand of production, and construct a linear programming model to calculate the number of suppliers with the lowest cost under the condition of guaranteed capacity. (2) To solve the problem of certain loss of raw materials during transportation, we first consider the ordering quantity, price, transportation loss in transit, and storage price of raw materials; then we analyze the data and construct a multi-objective planning model, and find the final ordering plan and transit plan through a large amount of data analysis; finally, we analyze the feasibility of the plan. (3) In order to maximize the production capacity of the enterprise, the maximum supply quantity of the supplier is obtained through analysis, and the ordering scheme is determined by combining the supplier's past performance; the transshipment scheme is determined according to the ordering scheme and the transshipment loss rate.
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生产企业原材料订购与运输的数学模型
本文分析了企业生产原材料的订购和运输问题,利用线性规划模型解决了以下问题:(1)解决了供应商不能按需求供货的问题。我们利用TOPSIS评价模型,根据不同的指标对各个供应商进行加权,得出供应商的重要性值,并选出50家满足要求的供应商。对数据进行分析,计算出满足生产需求的原材料供应商的最小数量,并构建线性规划模型,在产能保证的情况下计算出成本最低的供应商数量。(2)为了解决原材料在运输过程中有一定损耗的问题,我们首先考虑原材料的订货数量、价格、运输途中损耗、储存价格;然后对数据进行分析,构建多目标规划模型,通过大量的数据分析得出最终的订货方案和中转方案;最后,分析了方案的可行性。(3)为使企业的生产能力最大化,通过分析得出供应商的最大供给量,并结合供应商过去的业绩确定订货方案;转运方案根据订货方案和转运损失率确定。
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