基于混合整数线性规划(MILP)的尿素肥料生产计划数学模型

I. M. Hakim, Givanny Permata Sari, Aloysia Elva Ardina
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摘要

食物是任何时候都必须满足的必需品。众所周知,肥料是印尼粮食安全成功的主要因素之一。目前,印尼政府的目标是在2017年实现粮食自给自足,这需要印尼稻田每年至少收获两次。为了满足印尼的化肥需求,整个化肥行业必须继续提高产量。在所研究的化肥行业中,生产环节存在一个问题,即行业无法满足对尿素肥料的需求,而尿素肥料实际上是该行业的旗舰产品。由于无法满足这一需求,导致收入不足。本研究采用物料需求计划法(MRP)、混合整数线性规划法(MILP)和预测法对尿素肥料生产计划进行规划。研究结果表明,适合化肥行业生产计划的MRP方法是Lot-For-Lot (LFL),根据尿素需求趋势最准确的需求预测方法是人工神经网络(ANN)。此外,化肥工业的总成本下降到55.334.120卢比,比前一个下降了5.15%。
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Development mathematics model production planning of urea fertilizer to minimize production cost with mixed integer linear programming (MILP)
Food is a necessity that must be met at all times. As it is known that fertilizer is one of the main factors in the success of food security in Indonesia. Currently, the government is targeting food self-sufficiency in 2017 that requires harvesting capability at least twice a year in the area of paddy fields in Indonesia. To meet the fertilizer needs in Indonesia, the whole fertilizer industry must continue to improve its production. In the fertilizer industry studied, there is a problem in the production section, where the industry is not able to meet the demand for urea fertilizer which in fact is the industry’s flagship product. The inability to meet this demand resulted in insufficient revenue to be achieved. In this research, urea fertilizer production planning with Material Requirement Planning (MRP) method, Mixed Integer Linear Programming (MILP), and forecasting is planned. The results of this study indicate that the appropriate MRP method to be used as production planning in the fertilizer industry is Lot-For-Lot (LFL) and the most accurate demand forecasting method and according to the demand trend of urea is Artificial Neural Network (ANN). Furthermore, the total cost that is spent by the fertilizer industry is decreasing into Rp. 55.334.120,- or decreased by 5,15% from the previous one.
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