An optimal replenishment cycle and order quantity inventory model for deteriorating items with fluctuating demand

Yang, Hui‐Ling

doi:10.1016/j.sca.2023.100021

Cited by 4 publications

(1 citation statement)

References 38 publications

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“…SC [22] Explores sales and increased income in a SC, in which suppliers frequently choose to grant their retailers a payment delay time.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Dynamic Supply Chains Subject to Demand Fluctuations

Davizon,

Amillano-Cisneros,

Leyva-Morales

et al. 2023

Eng. Technol. Appl. Sci. Res.

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This research work aims to develop the mathematical modeling for a class of dynamic supply chains. Demand fluctuation corresponds to product demand volatility, which increases or decreases over a given time frame. Industrial engineering practitioners should consider the function that applied mathematical modeling plays in providing approximations of solutions that may be used in simulations and technical implementations at the strategic, tactical, and operational levels of an organization. In order to achieve proper results, two mathematical models are presented in this paper: In addition to a finite-dimensional system of Ordinary Differential Equations (ODEs) for coupled dynamic pricing, production rate, and inventory level, which properly integrates Lyapunov stability analysis of the dynamical system and simulations, there is an infinite-dimensional Partial Differential Equation (PDE) production level modeling system available. Infinite and finite-dimensional systems incorporate a dynamic pricing approach in the mathematical modeling. The main research goal of this work is to explore the dynamic nature of supply chains applying PDE and ODE methods, with proper analytical analysis and simulations for both systems.

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“…SC [22] Explores sales and increased income in a SC, in which suppliers frequently choose to grant their retailers a payment delay time.…”

Section: Introductionmentioning

confidence: 99%