Mandalika Journal of Business and Management Studies
Vol 4 No 1 (2026): Mandalika Journal of Business and Management Studies

Robustness of Static and Rolling (s, S) Inventory Policies under Negative Binomial Demand

Muhammad Ardhya Bisma (Faculty School of Logistics and Transport, Universitas Logistik dan Bisnis Internasional, Indonesia)
Amri Yanuar (Faculty School of Logistics and Transport, Universitas Logistik dan Bisnis Internasional, Indonesia)
Tamadara Hilman (Faculty School of Logistics and Transport, Universitas Logistik dan Bisnis Internasional, Indonesia)



Article Info

Publish Date
18 Jul 2026

Abstract

Effective inventory management for Indonesian e-commerce MSMEs is challenged by extreme demand shocks driven by platform-specific promotional events (tanggal kembar). While operations research often suggests adaptive rolling horizon frameworks to handle non-stationarity, these dynamic models frequently rely on standard formulas assuming normally distributed demand. This study evaluates the robustness of the continuous-review  inventory control policy under deliberate model misspecification. Using a 6-month daily transactional dataset from a fashion footwear MSME, empirical daily sales were fitted to a Negative Binomial distribution, while lead times followed a stochastic Triangular distribution. A 180-day discrete-event Monte Carlo simulation framework replicated across 2,500 iterations evaluated a global Parametric Static policy against an Adaptive Rolling Horizon policy ( to 60 days). Counter-intuitively, the simpler Parametric Static policy dominated, maintaining a superior Cycle Service Level (CSL) of 96.7% and a Fill Rate of 95.0%. Conversely, the adaptive framework failed to reliably satisfy the 95% target, yielding lower CSL ranges (94.2%–95.5%) and Fill Rates (90.9%–93.1%) due to sampling errors and localized variance instability caused by forcing a symmetric Normal assumption onto highly skewed data. For resource-constrained MSMEs, these findings reveal that dynamic parameter updates can lead to operational self-disruption, indicating that a stable, long-term static policy serves as a highly robust and administratively efficient buffer against promotional volatility.

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Journal Info

Abbrev

mjbms

Publisher

Subject

Decision Sciences, Operations Research & Management

Description

Jurnal ini merupakan sarana publikasi ilmiah untuk menyebarluaskan informasi berupa ilmu pengetahuan dan terlebih khususnya hasil penelitian hasil penelitian, jurnal ini juga menerima manuskrip hasil kajian pustaka dan laporan lainnya untuk ...