Title: Dynamic terminology for supplier-retailer collaboration metrics in inventory model

Authors: Atma Nand; Waqar Younus

Addresses: Department of Mathematics, School of Applied and Life Sciences, Uttaranchal University, Dehradun, Uttarakhand-248007, India ' Department of Mathematics, School of Applied and Life Sciences, Uttaranchal University, Dehradun, Uttarakhand-248007, India

Abstract: The proposed models consider factors like product deterioration, shortage, backordering, and various costs associated with inventory management. The research compares the outcomes of the decentralised system, where the retailer determines replenishment cycles, with the centralised system, where the supplier dictates the cycles. Different algorithms are employed to find the optimal schedule for both retailer and supplier. The study also formulates optimality conditions for minimising the total cost functions for both retailer and supplier. The retailer uses the Hessian matrix as a tool to make sure that the function describing the total costs is positive definite. The research concludes with an analysis of the suggested optimal total costs for the retailer under different replenishment cycle scenarios.

Keywords: dynamic inventory; fuzzy inventory; supplier-retailer collaboration; defuzzification; optimality conditions; inventory management.

DOI: 10.1504/IJMMNO.2024.143841

International Journal of Mathematical Modelling and Numerical Optimisation, 2024 Vol.14 No.3/4, pp.214 - 235

Received: 10 Jan 2024
Accepted: 02 Feb 2024
Published online: 10 Jan 2025 *

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