An integrated inventory model of deteriorating items with volume agility and time dependent demand under an imperfect production process

This research paper presents an integrated inventory model that addresses the challenges arising from deteriorating items in the presence of volume agility and time-dependent demand for vendor and supplier under imperfect production process. By incorporating rework processes into manufacturing, businesses not only contribute positively to the green environment but also create a more sustainable and responsible approach to resource management. This model offers various critical aspects of inventory control, aiming to optimise the overall system performance and enhance decision-making in complex supply chain environments. The objective is to determine the optimal production volume to minimise the total cost over a specified planning horizon. To validate the results of the proposed model a numerical illustration has been done and the concavity of the objective function is shown using MATHEMATICA 12 software. Finally, to find some useful observations and managerial insights, a sensitivity analysis has also been done for various parameters.