Abstract Depending on a field study for one of the largest iron and paints warehouses in Egypt, this paper Fine‐tuning ethanol oxidation pathway enzymes and cofactor PQQ coordinates the conflict between fitness and acetic acid production by Acetobacter pasteurianus presents a new multi-item periodic review inventory model considering the refunding quantity cost.Through this field study, we found that the inventory level is monitored periodically at equal time intervals.Returning a part of the goods that were previously ordered is permitted.Also, a shortage is permissible to occur despite having orders, and it is a STRATEGI AKTIF PASIF DALAM OPTIMALISASI PORTOFOLIO SAHAM INDEKS LQ-45 combination of the backorder and lost sales.This model has been applied in both crisp and fuzzy environments since the fuzzy case is more suitable for real-life than crisp.
The Lagrange multiplier technique is used for solving the restricted mathematical model.Here, the demand is a random variable that follows the normal distribution with zero lead-time.Finally, the model is followed by a real application to clarify the model and prove its efficiency.