A two-stage stochastic programming approach for production planning system with seasonal demand

IF 0.9 Q4 ENGINEERING, INDUSTRIAL Management and Production Engineering Review Pub Date : 2023-07-20 DOI:10.24425/MPER.2020.132941
A. Mahmoud, M. Aly, A. Mohib, I. Afefy
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Abstract

Received: 6 October 2019 Abstract Accepted: 29 December 2019 Seasonality is a function of a time series in which the data experiences regular and predictable changes that repeat each calendar year. Two-stage stochastic programming model for real industrial systems at the case of a seasonal demand is presented. Sampling average approximation (SAA) method was applied to solve a stochastic model which gave a productive structure for distinguishing and statistically testing a different production plan. Lingo tool is developed to obtain the optimal solution for the proposed model which is validated by Math works Matlab. The actual data of the industrial system; from the General Manufacturing Company, was applied to examine the proposed model. Seasonal future demand is then estimated using the multiplicative seasonal method, the effect of seasonality was presented and discussed. One might say that the proposed model is viewed as a moderately accurate tool for industrial systems in case of seasonal demand. The current research may be considered a significant tool in case of seasonal demand. To illustrate the applicability of the proposed model a numerical example is solved using the proposed technique. ANOVA analysis is applied using MINITAB 17 statistical software to validate the obtained results.
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具有季节性需求的生产计划系统的两阶段随机规划方法
季节性是一个时间序列的函数,其中数据经历了每个日历年重复的有规律和可预测的变化。给出了具有季节性需求的实际工业系统的两阶段随机规划模型。采用抽样平均逼近法求解了一个随机模型,该模型给出了一个生产结构,用以区分和统计检验不同的生产计划。利用Lingo工具对所提出的模型进行求解,并用Matlab软件进行了验证。工业系统的实际数据;从通用制造公司,被用于检验所提出的模型。在此基础上,利用乘季法估计了季节性未来需求,并对季节性的影响进行了讨论。有人可能会说,在季节性需求的情况下,所提出的模型被视为工业系统的一个适度准确的工具。目前的研究可能被认为是一个重要的工具,在季节性需求的情况下。为了说明所提模型的适用性,用该方法对一个数值算例进行了求解。采用MINITAB 17统计软件进行方差分析,对所得结果进行验证。
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来源期刊
CiteScore
2.80
自引率
21.40%
发文量
0
期刊介绍: Management and Production Engineering Review (MPER) is a peer-refereed, international, multidisciplinary journal covering a broad spectrum of topics in production engineering and management. Production engineering is a currently developing stream of science encompassing planning, design, implementation and management of production and logistic systems. Orientation towards human resources factor differentiates production engineering from other technical disciplines. The journal aims to advance the theoretical and applied knowledge of this rapidly evolving field, with a special focus on production management, organisation of production processes, management of production knowledge, computer integrated management of production flow, enterprise effectiveness, maintainability and sustainable manufacturing, productivity and organisation, forecasting, modelling and simulation, decision making systems, project management, innovation management and technology transfer, quality engineering and safety at work, supply chain optimization and logistics. Management and Production Engineering Review is published under the auspices of the Polish Academy of Sciences Committee on Production Engineering and Polish Association for Production Management.
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