Managers of today’s transnational firms, facing competitive global business environments, always intend to optimize their intra-supply chain systems to meet customers’ multiproduct demands with perfect quality goods, timely delivery, and minimum fabrication-shipping expenses. In the production units of intra-supply chain systems, random scraps are inevitable due to various unforeseen factors. Also, since the in-house capacity is limited, implementing a partial outsourcing plan can help release machine workloads, smooth production schedule, and reduce fabrication uptime. Inspired by these facts, this study explores an intra-supply chain system with random scraps and an external source. We build a mathematical model to portray the characteristics of the studied problem. Model analyses and the renewal reward theorem help us to obtain the expected system cost function. Optimization techniques and Hessian matrix equations are used to jointly decide the optimal cycle time and shipment policy that minimize the expected system cost. Through numerical illustration, we expose the individual and joint impact of diverse system features on the optimal operating policies and other crucial parameters of the studied problem, thus, facilitate managerial decision makings. KeywordsIndustrial engineering, Production management, Outsourcing, Scrap, Intra-supply chain system, Multiple shipments.

中文翻译：

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具有外部来源和报废的多产品内部供应链系统的制造周期时间和装运决策

当今跨国公司的经理们面对竞争激烈的全球商业环境，始终打算优化其供应链内部系统，以优质的商品，及时的交货时间和最低的制造运输费用来满足客户的多产品需求。在供应链内部系统的生产单元中，由于各种不可预见的因素，不可避免地会出现随机报废。此外，由于内部能力有限，因此实施部分外包计划可以帮助释放机器工作负荷，平滑生产进度并减少制造正常运行时间。受这些事实的启发，本研究探索了一个内部供应链系统，该系统具有随机报废和外部来源。我们建立一个数学模型来描述所研究问题的特征。模型分析和续订奖励定理有助于我们获得预期的系统成本函数。优化技术和Hessian矩阵方程式共同决定了最佳的周期时间和装运策略，从而将预期的系统成本降至最低。通过数值图示，我们揭示了系统功能多样化对最优运行策略和所研究问题的其他关键参数的个体和共同影响，从而有助于管理决策。关键字工业工程，生产管理，外包，废料，供应链内部系统，多次装运。我们揭示了不同系统功能对最优运行策略和所研究问题的其他关键参数的个体和共同影响，从而促进了管理决策。关键字工业工程，生产管理，外包，废料，供应链内部系统，多次装运。我们揭示了不同系统功能对最优运行策略和所研究问题的其他关键参数的个体和共同影响，从而促进了管理决策。关键字工业工程，生产管理，外包，废料，供应链内部系统，多次装运。