Özet:

There have been many production inventory control problems addressing the effect of permissible delay in payment on total cost. These models concluded that permissible delay in payment affects buyers' purchasing decisions, leading to a significant reduction in inventory costs. Another way to reduce inventory costs is to repair sub-standard items produced during production. This study develops a mathematical model for the economic production quantity, assuming outsourcing of repairs to sub-standard items and permissible delay in payment. An algorithm is proposed to obtain the optimum production quantity, designed to minimise the total cost per unit time. The results are illustrated through two numerical examples, accompanied by severity analyses. These numerical analysis show that outsourcing of repairs to sub-standard items is partially more cost-effective than repairing them in the original production system.

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