Dynamic Replenishment Policies for Vendor-Managed Inventory under Stochastic Demand: A Simulation-Based Comparative Study
DOI:
https://doi.org/10.14513/actatechjaur.00960Keywords:
Vendor-Managed Inventory (VMI), Inventory Routing Problem (IRP), Dynamic Replenishment, Simulation-Optimization, Genetic Algorithm, Supply Chain ResilienceAbstract
Vendor-Managed Inventory (VMI) is a pivotal strategy for optimizing supply chain performance, yet it poses a significant challenge in balancing operational costs against service levels under stochastic demand. While dynamic policies are gaining traction, literature lacks a systematic comparison of the underlying trigger logic (reactive vs. proactive). This study addresses this gap by providing a rigorous comparative analysis of static versus dynamic inventory replenishment policies within a VMI framework for a pharmaceutical distribution network. We design and evaluate four distinct policies: a traditional static (s,S) policy and three novel dynamic policies—reactive, proactive, and inertial—that adapt replenishment triggers based on real-time, system-wide demand signals. The novelty of this work lies in the formal design and first systematic comparison of these distinct dynamic trigger mechanisms, particularly the "Inertial" policy, which utilizes a smoothed urgency signal to enhance resilience. A high-fidelity simulation-optimization framework is developed, where policy parameters are optimized via a Genetic Algorithm to ensure each strategy operates at its peak potential. The results, analysed using ANOVA and Tukey’s HSD tests, reveal that while all policies can be optimized to a statistically similar total cost (p = 0.782), they differ significantly in their ability to maintain service levels. The proposed inertial policy, which utilizes a smoothed urgency signal, demonstrates superior performance, significantly reducing stockouts by 21.5% and 29.7% compared to static and reactive policies, respectively, without incurring a statistically significant cost increase. This demonstrates that integrating anticipatory, smoothed demand signals offers a robust pathway to enhancing service resilience without sacrificing economic efficiency.
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References
K. Sari, ‘Exploring the Benefits of Vendor Managed Inventory’, Int. J. Phys. Distrib. Logist. Manag., vol. 37, no. 7, pp. 529–545, Aug. 2007. https://doi.org/10.1108/09600030710776464
J. Sim, ‘The Impact of a Vendor-Managed Inventory Policy on the Cash-Bullwhip Effect’, Int. J. Ind. Eng., vol. 31, no. 2, Apr. 2024. https://doi.org/10.23055/IJIETAP.2024.31.2.9825
C. Archetti, L. Peirano, and M. G. Speranza, ‘Optimization in Multimodal Freight Transportation Problems: A Survey’, Eur. J. Oper. Res., vol. 299, no. 1, pp. 1–20, May 2022 https://doi.org/10.1016/j.ejor.2021.07.031
F. Stranieri, F. Stella, and C. Kouki, ‘Performance of Deep Reinforcement Learning Algorithms in Two-Echelon Inventory Control Systems’, Int. J. Prod. Res., vol. 62, no. 17, pp. 6211–6226, Sep. 2024. https://doi.org/10.1080/00207543.2024.2311180
L. DeValve and J. Myles, ‘Approximation Algorithms for Dynamic Inventory Management on Networks’, Manag. Sci., vol. 71, no. 7, pp. 5893–5909, Jul. 2025. https://doi.org/10.1287/mnsc.2022.02965
M. Li and S. Mizuno, ‘Dynamic Pricing and Inventory Management of a Dual-Channel Supply Chain Under Different Power Structures’, Eur. J. Oper. Res., vol. 303, no. 1, pp. 273–285, Nov. 2022. https://doi.org/10.1016/j.ejor.2022.02.049
T. Yavuz and O. Kaya, ‘Deep Reinforcement Learning Algorithms for Dynamic Pricing and Inventory Management of Perishable Products’, Appl. Soft Comput., vol. 163, p. 111864, Sep. 2024. https://doi.org/10.1016/j.asoc.2024.111864
L. C. Coelho, J.-F. Cordeau, and G. Laporte, ‘Thirty Years of Inventory Routing’, Transp. Sci., vol. 48, no. 1, pp. 1–19, Feb. 2014. https://doi.org/10.1287/trsc.2013.0472.
Q. Li, G. Gaalman, and S. M. Disney, ‘On the Equivalence of the Proportional and Damped Trend Order-up-to Policies: An Eigenvalue Analysis’, Int. J. Prod. Econ., vol. 265, p. 109005, Nov. 2023. https://doi.org/10.1016/j.ijpe.2023.109005
N. M. Dinh, C. Archetti, and L. Bertazzi, ‘The Inventory Routing Problem with Split Deliveries’, Networks, vol. 82, no. 4, pp. 400–413, Dec. 2023. https://doi.org/10.1002/net.22175
A. Diabat, N. Bianchessi, and C. Archetti, ‘On the Zero-Inventory-Ordering Policy in the Inventory Routing Problem’, Eur. J. Oper. Res., vol. 312, no. 3, pp. 1024–1038, Feb. 2024. https://doi.org/10.1016/j.ejor.2023.07.013
V. Tomić, D. Marinković, and D. Marković, ‘The Selection of Logistic Centers Location Using Multi-Criteria Comparison: Case Study of the Balkan Peninsula’, Acta Polytech. Hung., vol. 11, no. 10, pp. 97–113, 2014. https://doi.org/10.12700/APH.11.10.2014.10.6
I. Badi, G. Demir, M. B. Bouraima, and A. K. Maraka, ‘Vendor Managed Inventory in Practice: Efficient Scheduling and Delivery Optimization’, Spectr. Decis. Mak. Appl., vol. 2, no. 1, pp. 157–165, Jan. 2025. https://doi.org/10.31181/sdmap21202515
M. Tariq Afridi, S. Nieto-Isaza, H. Ehm, T. Ponsignon, and A. Hamed, ‘A Deep Reinforcement Learning Approach for Optimal Replenishment Policy in A Vendor Managed Inventory Setting For Semiconductors’, in 2020 Winter Simulation Conference (WSC), Orlando, FL, USA: IEEE, Dec. 2020, pp. 1753–1764. https://doi.org/10.1109/WSC48552.2020.9384048
H. Fazlollahtabar, ‘Optimizing Robotic Manufacturing in Industry 4.0: A Hybrid Fuzzy Neural Bayesian Belief Networks’, Spectr. Mech. Eng. Oper. Res., vol. 2, no. 1, pp. 191–203, May 2025. https://doi.org/10.31181/smeor21202543
A. Y. Gül, E. Cakmak, and A. E. Karakas, ‘Drone Selection for Forest Surveillance and Fire Detection Using Interval Valued Neutrosophic Edas Method’, Facta Univ. Ser. Mech. Eng., vol. 23, no. 3, pp. 433–458, Oct. 2025. https://doi.org/10.22190/FUME231028008G
M. F. N. Maghfiroh and A. A. N. P. Redi, ‘Tabu Search Heuristic for Inventory Routing Problem with Stochastic Demand and Time Windows’, J. Sist. Dan Manaj. Ind., vol. 6, no. 2, pp. 111–120, Nov. 2022. https://doi.org/10.30656/jsmi.v6i2.4813
Z. Li and P. Jiao, ‘Two-stage stochastic programming for the inventory routing problem with stochastic demands in fuel delivery’, Int. J. Ind. Eng. Comput., vol. 13, no. 4, pp. 507–522, 2022. https://doi.org/10.5267/j.ijiec.2022.7.004
K. H. Gazi, A. Biswas, T. Basuri, A. Ghosh, and S. P. Mondal, ‘Finding Humanitarian Supply Chain Management Challenges using Uncertain MCDM Methodology’, Spectr. Mech. Eng. Oper. Res., vol. 2, no. 1, pp. 248–279, Jul. 2025. https://doi.org/10.31181/smeor21202548
Meenakshi, D. Panchal, and D. Garg, ‘Application of Reliability-Centered Maintenance with a Computerized Maintenance Management System for the Wheelset in Rolling Stock’, Spectr. Decis. Mak. Appl., vol. 3, no. 1, pp. 70–84, Jan. 2026. https://doi.org/10.31181/sdmap31202636
Z. Chang, H. Chen, F. Yalaoui, and B. Dai, ‘Adaptive Large Neighborhood Search Algorithm for Route Planning of Freight Buses with Pickup and Delivery’, J. Ind. Manag. Optim., vol. 17, no. 4, p. 1771, 2021. https://doi.org/10.3934/jimo.2020045
C. Mu, K. Wang, and Z. Ni, ‘Adaptive Learning and Sampled-Control for Nonlinear Game Systems Using Dynamic Event-Triggering Strategy’, IEEE Trans. Neural Netw. Learn. Syst., vol. 33, no. 9, pp. 4437–4450, Sep. 2022. https://doi.org/10.1109/TNNLS.2021.3057438
W. He, B. Xu, Q.-L. Han, and F. Qian, ‘Adaptive Consensus Control of Linear Multiagent Systems with Dynamic Event-Triggered Strategies’, IEEE Trans. Cybern., vol. 50, no. 7, pp. 2996–3008, Jul. 2020. https://doi.org/10.1109/TCYB.2019.2920093
S. Dabić-Miletić, ‘Digital Transformation of Postal Logistics Supply Chains toward Sustainability and Efficient Management from a Web 4.0 Perspective’, Manag. Sci. Adv., vol. 3, no. 1, pp. 96–105, Jan. 2026. https://doi.org/10.31181/msa31202637
A. Mehdiabadi, A. Sadeghi, A. K. Yazdi, and Y. Tan, ‘Sustainability Service Chain Capabilities in the Oil and Gas Industry: A Fuzzy Hybrid Approach SWARA-MABAC’, Spectr. Oper. Res., vol. 2, no. 1, pp. 114–134, Jan. 2025. https://doi.org/10.31181/sor21202512
S. J. H. Dehshiri, ‘Sustainable Supplier Selection Based on a Comparative Decision-Making Approach Under Uncertainty’, Spectr. Oper. Res., vol. 3, no. 1, pp. 238–251, Jan. 2026. https://doi.org/10.31181/sor31202644
A. Kazikova, M. Pluhacek, and R. Senkerik, ‘Why Tuning the Control Parameters of Metaheuristic Algorithms Is So Important for Fair Comparison?’, MENDEL, vol. 26, no. 2, pp. 9–16, Dec. 2020. https://doi.org/10.13164/mendel.2020.2.009
M. K. Oksuz, K. Buyukozkan, A. Bal, and S. I. Satoglu, ‘A Genetic Algorithm Integrated with the Initial Solution Procedure and Parameter Tuning for Capacitated P-Median Problem’, Neural Comput. Appl., vol. 35, no. 8, pp. 6313–6330, Mar. 2023. https://doi.org/10.1007/s00521-022-08010-w
J. Musbah, I. Badi, J. Musbah, I. Badi, and M. B. Bouraima, ‘Optimizing Time-Based Heuristics for Resilient VMI Replenishment: A Simulation-Optimization Approach’, Jun. 2025. https://doi.org/10.56578/jii030204
T. Vidal, T. G. Crainic, M. Gendreau, and C. Prins, ‘A Unified Solution Framework for Multi-Attribute Vehicle Routing Problems’, Eur. J. Oper. Res., vol. 234, no. 3, pp. 658–673, May 2014. https://doi.org/10.1016/j.ejor.2013.09.045
R. Lotfi, P. MohajerAnsari, M. M. Sharifi Nevisi, M. Afshar, S. M. Reza Davoodi, and S. S. Ali, ‘A Viable Supply Chain by Considering Vendor-Managed-Inventory with a Consignment Stock Policy and Learning Approach’, Results Eng., vol. 21, p. 101609, Mar. 2024. https://doi.org/10.1016/j.rineng.2023.101609
H. A. Taboada, Y. A. Davizón, J. F. Espiritu, and J. Sánchez-Leal, ‘Mathematical Modeling and Optimal Control for a Class of Dynamic Supply Chain: A Systems Theory Approach’, Appl. Sci., 2022. https://doi.org/10.3390/app12115347
J. Shen et al., ‘Management of Drug Supply Chain Information Based on “Artificial Intelligence + Vendor Managed Inventory” in China: Perspective Based on a Case Study’, Front. Pharmacol., vol. 15, p. 1373642, Jul. 2024. https://doi.org/10.3389/fphar.2024.1373642
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