A Sustainable Two Warehouse Capacities based Inventory Model with Exponential Demand Pattern for Deteriorating Items Under Learning Effect

Abstract

Present paper deals a sustainable two warehouse based inventory mathematical model with exponential type of demand pattern for deteriorating items under effect of the learning where the deterioration rate follows the linear pattern and some carbon units emit from the electricity for the preserving of the deteriorating items.

Two warehouse inventory models for degrading products are covered in this study. Physical products deterioration is a crucial component of every manufacturing and inventory system. Its influence can be disregarded if the pace of deterioration is relatively modest. On the other hand, degradation is a significant factor in many real-world scenarios. For the contemporary organisation, it is critical to manage and preserve the inventories of deteriorating assets. When degradation is time-dependent, the product's value decreases proportionately with time. Modellers were inspired to take the degradation factor into account as one of the modelling features upon understanding this factor. Deterioration rate is considered time dependent in this work. We take exponential demand rate into consideration in order to examine actual business scenarios and the learning effect involves in the holding cost, deterioration cost and ordering cost. The carbon emission cost also included in this study. We presented the numerical example for the justification of the model in this study, the cost reduction approach is applied.