用单纯形法求解Naruna公司最优利润的线性规划应用

IF 1.4 Q4 ENGINEERING, INDUSTRIAL Management Systems in Production Engineering Pub Date : 2023-05-03 DOI:10.2478/mspe-2023-0016
Eka Auliya Syifa, Tita Nuril Istiqomah, N. P. Puspita, L. Ratnasari, S. Khabibah, P. Anggoro, B. Bawono
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引用次数: 0

摘要

摘要PT。Naruna是一家位于印度尼西亚萨拉蒂加的陶瓷厂。在PT。Naruna陶瓷中,所有产品都采用现代设计手工制作,在形状和颜色上具有很高的艺术价值。盈利是公司的首要目标,但许多公司仍然需要学习通过优化资源可以获得的最大利润,其中之一就是PT。Naruna。纳鲁纳公司凭直觉生产产品。结果,许多货物堆积在仓库里。同时,随着时代的发展,新的潮流和新的形象将变得更有吸引力,消费者的品味和陶瓷图案也将发生变化。此外,经过燃烧过程的陶瓷产品不能回收,必须进行燃烧。本研究的重点是根据价格生产三种不同类型的眼镜。本文的目的是通过确定生产数量的组成来优化利润。我们使用线性规划和单纯形法来解决我们在PT中的问题。线性规划是解决PT。Naruna中存在的问题的最合适的方法,即通过关注目标函数和约束函数。目标函数是使利润最大化,因此它采用线性方程的形式,变量X1是第一类玻璃,X2是第二类玻璃,X3是第三类玻璃。使用的约束函数包括产品数量、工人数量、粘土量和生产时间。结果表明,当生产1型小于3型小于2型玻璃时,PT.Naruna可以实现最大利润。
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The Application of Linear Programming for the Optimal Profit of Pt. Naruna Using the Simplex Method
Abstract PT. Naruna is a ceramics factory located in Salatiga, Indonesia. In PT. Naruna ceramics, all products are handmade with contemporary designs and have a high artistic value in shape and color. Getting profit is the company’s primary goal, but many companies still need to learn the maximum profit that can be obtained by optimizing their resources, one of which is PT. Naruna. PT. Naruna produces goods based on intuition. As a result, a lot of goods are piled up in warehouses. Meanwhile, with the development of the times, new trends and images will appear more attractive so that consumer tastes and motifs from ceramics will change. In addition, ceramic products that have gone through the combustion process cannot be recycled and must be burned. This research focuses on the production of glasses with three different types according to price. The aim of this paper is to optimize profits by determining the composition of the number of products produced. We used linear programming with a simplex method to solve our problem in PT. Naruna. Linear programming is the most appropriate method for solving problems that exist in PT. Naruna, namely by paying attention to the objective and constraint functions. The objective function is to maximize profit, so it takes the form of a linear equation with the variable X1 being the first type of glass, X2 being the second type of glass, and X3 being the third type of glass. The constraint functions used include the number of products, the number of workers, the amount of clay, and the time for production. The results show that PT. Naruna can achieve maximum profit when producing glass type 1 less than type 3 less than type 2.
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来源期刊
CiteScore
4.30
自引率
13.30%
发文量
48
审稿时长
10 weeks
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