The proposed model focuses on an imperfect production process (IPP) in which, during long-term production, the system may change to an “out-of-control” state from an “in-control” state and produce some imperfect products because of a long production run length. Brand image and industry reputation are affected by product defectiveness. To increase the profit of any industry and improve reputation and brand image, inspection of the production system is required. However, this inspection is subjected to human error, which negatively affects the assessment of production systems. Herein, an error-free inspection is performed with the help of an autonomation policy, in which each product is inspected via a machine instead of a human, facilitating an error-free inspection and converting the production system to a smart production system. Moreover, in reality, product demand cannot always be constant. Therefore, in this model, a selling-price-dependent demand is considered along with a variable production rate to enhance model applicability. Moreover, total system profit is optimized and optimal values for production run time, inspection scheduling, selling price, buffer inventory, and production rate are determined. Finally, for model validation, some numerical examples along with special cases are provided. The concavity of the optimal function is also proven through graphical illustration. The sensitivity of the key parameters of the presented model is explored and the significance is explained.

中文翻译：

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智能工厂的自动检查策略—改进方法

所提出的模型着重于不完善的生产过程（IPP），其中在长期生产期间，系统可能会从“处于控制中”状态变为“失控”状态，并由于以下原因而生产出一些不完善的产品：生产运行时间长。品牌形象和行业声誉受产品缺陷的影响。为了增加任何行业的利润并提高声誉和品牌形象，需要对生产系统进行检查。但是，这种检查会遭受人为错误，这会对生产系统的评估产生负面影响。在此，借助于自主策略执行无差错检查，其中通过机器而不是人工来检查每个产品，从而促进无差错检查并将生产系统转换为智能生产系统。此外，实际上，产品需求不可能总是恒定的。因此，在该模型中，考虑了与售价有关的需求以及可变的生产率，以增强模型的适用性。此外，优化了系统总利润，并确定了生产运行时间，检查计划，售价，缓冲库存和生产率的最佳值。最后，为进行模型验证，提供了一些数值示例以及特殊情况。最佳功能的凹性也通过图形说明得到证明。探索了所提出模型的关键参数的敏感性，并说明了意义。此外，优化了系统总利润，并确定了生产运行时间，检查计划，售价，缓冲库存和生产率的最佳值。最后，为进行模型验证，提供了一些数值示例以及特殊情况。最佳功能的凹性也通过图形说明得到证明。探索了所提出模型的关键参数的敏感性，并说明了意义。此外，优化了系统总利润，并确定了生产运行时间，检查计划，售价，缓冲库存和生产率的最佳值。最后，为进行模型验证，提供了一些数值示例以及特殊情况。最佳功能的凹性也通过图形说明得到证明。探索了所提出模型的关键参数的敏感性，并说明了意义。