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

Authors: Surendra Vikram Singh Padiyar; Deepa Makholia; S.R. Singh; Vipin Chandra Kuraie; Ummeferva Zaidi; Vaishali Singh

Addresses: Department of Mathematics, Sardar Bhagat Singh Government Post Graduate College Rudrapur, Uttrakhand, India ' Department of Mathematics, M.B.G.P.G. College Haldwani, Nainital, India ' Department of Mathematics, CCS University, Meerut-250004, India ' Department of Allied Sciences, Graphic Era Hill University, Haldwani, Nainital, Uttarakhand, India ' Department of Mathematics, CCS University, Meerut-250004, India ' Department of Mathematics, CCS University, Meerut-250004, India

Abstract: 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.

Keywords: volume agility; imperfect production; vendor; supplier; deterioration; time dependent demand.

DOI: 10.1504/IJADS.2025.148232

International Journal of Applied Decision Sciences, 2025 Vol.18 No.5, pp.547 - 574

Received: 18 Aug 2023
Accepted: 10 Jan 2024
Published online: 01 Sep 2025 *

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