Enhancing Agile Manufacturing Efficiency: A Markov-Based Approach to Flexibility Optimization

Year 2026, Volume: 10 Issue: 2 , 450 - 465 , 01.05.2026

Ezekiel B Omoniyi , Christopher Osita Anyaeche , Ayodele Periola , Anthony Onokwai

https://doi.org/10.31127/tuje.1813047

https://izlik.org/JA27NM47XR

Abstract

In today’s increasingly dynamic and competitive manufacturing environment, agility has become a defining factor for operational success, particularly in enhancing efficiency and responsiveness. Attaining the needed agility necessitates a high degree of operational flexibility. This study applies a Quasi-Birth Death (QBD) Markov model to analyze volume, delivery, and routing flexibility in a 3-dimensional-Computer Numerical Control (3D-CNC) machining system. With system transition modeling among various operational states, the work quantifies the impact of flexibility on aggregate machine output in an agile production environment. An eight-state Markov chain model is formulated to characterize manufacturing profiles of multi-standard 3D printer networks, considering the probabilistic behaviour for evaluating system flexibility. Results show that flexibility parameter optimization enhances manufacturing responsiveness, cost-effectiveness, and system flexibility, ensuring flexible production methods in turbulent Manufacturing settings. MATLAB simulations reveal that strategic state changes primarily shifting from high to medium or low flexibility tend to produce significant gains in performance, increasing machine efficiency up to 91.2%. This research contributes to agile manufacturing theory by developing a computational model for real-time flexibility control, offering data-driven insights for maximizing operational efficiency and decision-making in flexible manufacturing systems.

Keywords

Agile Manufacturing , Operational Flexibility , Quasi-Birth Death Markov Model , 3D-CNC Machining System , Manufacturing Optimization

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