Joint pricing deteriorating inventory model considering product life cycle and advance payment with a discount facility

The product life cycle of a deteriorating is an important consideration in inventory management. This paper simultaneously investigates the optimum pricing and decisions considering cycles under price-dependent demand advance payment systems with discount facility. A time-dependent holding cost also introduced. objective to carefully balance critical decision variables order maximize total profit. Furthermore, theoretical analysis validates concavity profit function. numerical example sensitivity are provided show characteristics model. study shows that advanced period, installment numbers, product’s maximum cycle, purchasing function significantly influence model known lifetime payments can provide management insights manager his/her strategic planning.