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Enhancing Rolling Horizon Production Planning Through Stochastic Optimization Evaluated by Means of Simulation

Author

Listed:
  • Manuel Schlenkrich
  • Wolfgang Seiringer
  • Klaus Altendorfer
  • Sophie N. Parragh

Abstract

Production planning must account for uncertainty in a production system, arising from fluctuating demand forecasts and execution-level friction. This article integrates scenario-based stochastic programming into a rolling horizon framework for capacitated lot sizing, evaluated via discrete-event simulation. We compare this stochastic approach against deterministic optimization and standard Material Requirements Planning (MRP) across varying customer update behaviors, shop loads, and diverse multi-stage topologies (divergent, convergent, and mixed). To accurately capture shop-floor dynamics, the framework introduces a non-anticipativity parameter controlling schedule flexibility, alongside probabilistic setup-time feedback and soft overtime constraints. Results indicate that optimization consistently outperforms MRP. In unbuffered, highly congested settings, stochastic optimization natively smooths workloads and reduces costs by up to 68%. However, introducing explicit safety stocks fundamentally shifts system dynamics: physical buffers effectively absorb shop-floor noise, diminishing the stochastic model's anticipative advantage and enabling deterministic optimization to dominate. Ultimately, this study offers critical managerial insights for aligning planning algorithms, inventory buffering, and schedule flexibility.

Suggested Citation

  • Manuel Schlenkrich & Wolfgang Seiringer & Klaus Altendorfer & Sophie N. Parragh, 2024. "Enhancing Rolling Horizon Production Planning Through Stochastic Optimization Evaluated by Means of Simulation," Papers 2402.14506, arXiv.org, revised Aug 2026.
  • Handle: RePEc:arx:papers:2402.14506
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    References listed on IDEAS

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    1. Christian Almeder & Margaretha Preusser & Richard F. Hartl, 2009. "Simulation and optimization of supply chains: alternative or complementary approaches?," Springer Books, in: Herbert Meyr & Hans-Otto Günther (ed.), Supply Chain Planning, pages 29-53, Springer.
    2. Curcio, Eduardo & Amorim, Pedro & Zhang, Qi & Almada-Lobo, Bernardo, 2018. "Adaptation and approximate strategies for solving the lot-sizing and scheduling problem under multistage demand uncertainty," International Journal of Production Economics, Elsevier, vol. 202(C), pages 81-96.
    3. Francisco Campuzano-Bolarín & Josefa Mula & Manuel Díaz-Madroñero & Álvar-Ginés Legaz-Aparicio, 2020. "A rolling horizon simulation approach for managing demand with lead time variability," International Journal of Production Research, Taylor & Francis Journals, vol. 58(12), pages 3800-3820, June.
    4. Klaus Altendorfer & Thomas Felberbauer & Herbert Jodlbauer, 2016. "Effects of forecast errors on optimal utilisation in aggregate production planning with stochastic customer demand," International Journal of Production Research, Taylor & Francis Journals, vol. 54(12), pages 3718-3735, June.
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