A sustainable production inventory model that addresses some of the pragmatic scenarios of the production process is developed. The production process is considered imperfect which results in the production of some imperfect quality items with known distribution. The imperfect products are managed through an efficient rework process that makes the items suitable to be vended at their original markup price only. The agile nature of the manufacturing process is considered. And, the energy usage and carbon emission in the production process is also considered. Undoubtedly, the fundamental nature of demand is sensitive to price. Thus, the model incorporates the demand to be price-contingent. The objective is to maximize the overall inventory turnover by conjointly optimizing the selling price, production rate, and production time. A numerical example is included to validate the model. Further, the sensitivity analysis unfolds valuable managerial insights for decision-makers. Findings suggest that the model with the insertion of volume agility effect performs better when compared with the one without the volume agility.

建立了一个可持续的生产库存模型，该模型可解决生产过程中的一些实际情况。生产过程被认为是不完美的，这会导致生产某些具有已知分布的不完美质量的物品。不完善的产品通过有效的返工流程进行管理，使这些产品仅适合按其原始加价出售。考虑了制造过程的敏捷性。并且，还考虑了生产过程中的能源使用和碳排放。毫无疑问，需求的基本性质对价格敏感。因此，该模型将需求合并为价格可能的。目的是通过共同优化售价，生产率和生产时间来最大化总体库存周转率。包含一个数值示例来验证模型。此外，敏感性分析为决策者提供了宝贵的管理见解。结果表明，与没有体积敏捷性的模型相比，具有体积敏捷性效果的模型的性能更好。