利用拉格朗日乘数优化织带工艺的生产计划和销售预算

IF 2.4 Q2 ENGINEERING, INDUSTRIAL

International Journal of Industrial Engineering and Management Pub Date : 2023-04-20 DOI:10.33536/jiem.v8i1.1517

St Nova Meirizha, D. Anggraini, Agus Mulyadi, Rio Saputra

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引用次数: 0

摘要

UKM Tunas Harapan生产编织绑带产品，如购物篮，沿，垫子和锅，分布地区如廖内省，北苏门答腊，西苏门答腊，占碑和亚齐。UKM发现很难计划产量和控制销售，所以他们经常过度生产，这导致利润不能最大化。研究目标是计算最优的生产数量和分配到各个分销区域，制定最优的销售预算计划，并利用拉格朗日乘数法计算所获得的利润。每个周期每种产品的最佳生产结果数量:1878个购物篮，1983个沿，283个垫子和1425个锅。1年内每种产品的每个配送区域的分配为廖内:4662个购物篮，沿- 4807沿，837个垫子，3658个锅。西苏门答腊:4445个购物篮，5097个，841个垫子，3262个锅。北苏门答腊:5023个购物篮，5608个，714个垫子，4017个锅。占比:4198个购物篮，4197个，615个垫子，3743个罐子。亚齐:4211个购物篮，4092个，417个垫子，盆，多达2421个。最优销售预算为Rp. 3,496.856,390，总利润为Rp. 1,748,394,343，利润百分比为49.99%。

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PRODUCTION PLANNING OPTIMIZATION AND SALES BUDGETING USING LAGRANGE MULTIPLIER IN WOVEN STRAPPING CRAFTS

UKM Tunas Harapan produces woven strapping products such as shopping baskets, along-along, mats, and pots with distribution areas such as Riau, North Sumatra, West Sumatra, Jambi, and Aceh. UKM find it difficult to plan the amount of production and control sales so that they often overproduce, which causes profits to be not maximized. The research objectives are calculating the optimal production amount and allocation to each distribution area, making an optimal sales budget plan, and calculating the profit obtained using the Lagrange multiplier method. The optimal number of production results for each product per period: 1878 shopping baskets, 1983 along-along, 283 mats, and 1425 pots. The allocation for each distribution area of each product in 1 year is Riau: 4662 shopping baskets, along- 4807 along, 837 mats, and 3658 pots. West Sumatra: 4445 shopping baskets, 5097 along-along, 841 mats, 3262 pots. North Sumatra: 5023 shopping baskets, 5608 along-along, 714 mats, 4017 pots. Jambi: 4198 shopping baskets, 4197 along-along, 615 mats, 3743 pots. Aceh: 4211 shopping baskets, 4092 along-along, 417 mats, pots, as many as 2421. While the optimal sales budget is Rp. 3,496.856,390 with the total profit obtained Rp. 1,748,394,343 the percentage of profit is 49.99%.

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来源期刊

International Journal of Industrial Engineering and Management Business, Management and Accounting-Business, Management and Accounting (miscellaneous)

CiteScore

5.00

自引率

17.20%

发文量

审稿时长

21 weeks

期刊介绍： International Journal of Industrial Engineering and Management (IJIEM) is an interdisciplinary international academic journal published quarterly. IJIEM serves researchers in the industrial engineering, manufacturing engineering and management fields. The major aims are: To collect and disseminate information on new and advanced developments in the field of industrial engineering and management; To encourage further progress in engineering and management methodology and applications; To cover the range of engineering and management development and usage in their use of managerial policies and strategies. Thus, IJIEM invites the submission of original, high quality, theoretical and application-oriented research; general surveys and critical reviews; educational or training articles including case studies, in the field of industrial engineering and management. The journal covers all aspects of industrial engineering and management, particularly: -Smart Manufacturing & Industry 4.0, -Production Systems, -Service Engineering, -Automation, Robotics and Mechatronics, -Information and Communication Systems, -ICT for Collaborative Manufacturing, -Quality, Maintenance and Logistics, -Safety and Reliability, -Organization and Human Resources, -Engineering Management, -Entrepreneurship and Innovation, -Project Management, -Marketing and Commerce, -Investment, Finance and Accounting, -Insurance Engineering and Management, -Media Engineering and Management, -Education and Practices in Industrial Engineering and Management.