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Planning capacity and safety stocks in a serial production–distribution system with multiple products

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  • Ghadimi, Foad
  • Aouam, Tarik

Abstract

This study jointly optimizes the production capacity and safety stocks in a serial production–distribution system supplying multiple products under a guaranteed service approach (GSA). The network comprises one manufacturer operating multiple workcenters, one warehouse with limited storage capacity, and one retailer. The manufacturer must efficiently allocate capacity to the workcenters under a limited budget, while the warehouse and retailer need to maintain safety stocks to achieve a target service level. For a single workcenter processing a single product, the interaction between the production lead time, storage capacity, inventory costs, and safety stock placement is characterized. When the manufacturer has multiple workcenters, the integrated problem is formulated as a non-convex program and is solved using a nested Lagrangian relaxation heuristic. The algorithm dualizes the storage constraint in the first phase and the budget constraint in the second phase. A simulation study is conducted to assess the value of the integration, and computational experiments demonstrate that the nested Lagrangian relaxation heuristic can identify optimal or near-optimal solutions in reasonable CPU times.

Suggested Citation

  • Ghadimi, Foad & Aouam, Tarik, 2021. "Planning capacity and safety stocks in a serial production–distribution system with multiple products," European Journal of Operational Research, Elsevier, vol. 289(2), pages 533-552.
    • Handle: RePEc:eee:ejores:v:289:y:2021:i:2:p:533-552
    DOI: 10.1016/j.ejor.2020.07.024
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    References listed on IDEAS

    as
    1. Pyke, David F. & Cohen, Morris A., 1993. "Performance characteristics of stochastic integrated production-distribution systems," European Journal of Operational Research, Elsevier, vol. 68(1), pages 23-48, July.
    2. Kumar, Kunal & Aouam, Tarik, 2018. "Integrated lot sizing and safety stock placement in a network of production facilities," International Journal of Production Economics, Elsevier, vol. 195(C), pages 74-95.
    3. Corey Billington & Gianpaolo Callioni & Barrett Crane & John D. Ruark & Julie Unruh Rapp & Trace White & Sean P. Willems, 2004. "Accelerating the Profitability of Hewlett-Packard's Supply Chains," Interfaces, INFORMS, vol. 34(1), pages 59-72, February.
    4. Stephen C. Graves & Sean P. Willems, 2000. "Optimizing Strategic Safety Stock Placement in Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 2(1), pages 68-83, June.
    5. Kenneth F. Simpson, 1958. "In-Process Inventories," Operations Research, INFORMS, vol. 6(6), pages 863-873, December.
    6. Stefan Woerner & Marco Laumanns & Stephan M. Wagner, 2018. "Joint optimisation of capacity and safety stock allocation," International Journal of Production Research, Taylor & Francis Journals, vol. 56(13), pages 4612-4628, July.
    7. Bex George Thomas & Srinivas Bollapragada, 2010. "General Electric Uses an Integrated Framework for Product Costing, Demand Forecasting, and Capacity Planning of New Photovoltaic Technology Products," Interfaces, INFORMS, vol. 40(5), pages 353-367, October.
    8. Erica L. Plambeck & Amy R. Ward, 2007. "Note: A Separation Principle for a Class of Assemble-to-Order Systems with Expediting," Operations Research, INFORMS, vol. 55(3), pages 603-609, June.
    9. Aouam, Tarik & Kumar, Kunal, 2019. "On the effect of overtime and subcontracting on supply chain safety stocks," Omega, Elsevier, vol. 89(C), pages 1-20.
    10. Marshall L. Fisher, 1981. "The Lagrangian Relaxation Method for Solving Integer Programming Problems," Management Science, INFORMS, vol. 27(1), pages 1-18, January.
    11. Sabri Çelik & Costis Maglaras, 2008. "Dynamic Pricing and Lead-Time Quotation for a Multiclass Make-to-Order Queue," Management Science, INFORMS, vol. 54(6), pages 1132-1146, June.
    12. Andrew J. Clark & Herbert Scarf, 2004. "Optimal Policies for a Multi-Echelon Inventory Problem," Management Science, INFORMS, vol. 50(12_supple), pages 1782-1790, December.
    13. Brian Wieland & Pat Mastrantonio & Sean P. Willems & Karl G. Kempf, 2012. "Optimizing Inventory Levels Within Intel's Channel Supply Demand Operations," Interfaces, INFORMS, vol. 42(6), pages 517-527, December.
    14. Klosterhalfen, Steffen T. & Dittmar, Daniel & Minner, Stefan, 2013. "An integrated guaranteed- and stochastic-service approach to inventory optimization in supply chains," European Journal of Operational Research, Elsevier, vol. 231(1), pages 109-119.
    15. Feng Yang & Bruce E. Ankenman & Barry L. Nelson, 2008. "Estimating Cycle Time Percentile Curves for Manufacturing Systems via Simulation," INFORMS Journal on Computing, INFORMS, vol. 20(4), pages 628-643, November.
    16. Leyla Ozsen & Collette R. Coullard & Mark S. Daskin, 2008. "Capacitated warehouse location model with risk pooling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(4), pages 295-312, June.
    17. Stephen C. Graves & Tor Schoenmeyr, 2016. "Strategic Safety-Stock Placement in Supply Chains with Capacity Constraints," Manufacturing & Service Operations Management, INFORMS, vol. 18(3), pages 445-460, July.
    18. Wang, K.-J. & Wang, S.-M. & Yang, S.-J., 2007. "A resource portfolio model for equipment investment and allocation of semiconductor testing industry," European Journal of Operational Research, Elsevier, vol. 179(2), pages 390-403, June.
    19. Rajagopalan, S. & Yu, Hung-Liang, 2001. "Capacity planning with congestion effects," European Journal of Operational Research, Elsevier, vol. 134(2), pages 365-377, October.
    20. Martínez-Costa, Carme & Mas-Machuca, Marta & Benedito, Ernest & Corominas, Albert, 2014. "A review of mathematical programming models for strategic capacity planning in manufacturing," International Journal of Production Economics, Elsevier, vol. 153(C), pages 66-85.
    21. Grace Hua, N. & Willems, Sean P., 2016. "Analytical insights into two-stage serial line supply chain safety stock," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 107-112.
    22. Hariga, Moncer A., 2010. "A single-item continuous review inventory problem with space restriction," International Journal of Production Economics, Elsevier, vol. 128(1), pages 153-158, November.
    23. Marshall L. Fisher, 1985. "An Applications Oriented Guide to Lagrangian Relaxation," Interfaces, INFORMS, vol. 15(2), pages 10-21, April.
    24. Bretthauer, Kurt M. & Cote, Murray J., 1997. "Nonlinear programming for multiperiod capacity planning in a manufacturing system," European Journal of Operational Research, Elsevier, vol. 96(1), pages 167-179, January.
    25. Gabriel R. Bitran & Devanath Tirupati, 1989. "Tradeoff Curves, Targeting and Balancing in Manufacturing Queueing Networks," Operations Research, INFORMS, vol. 37(4), pages 547-564, August.
    26. Kumar, Kunal & Aouam, Tarik, 2019. "Extending the strategic safety stock placement model to consider tactical production smoothing," European Journal of Operational Research, Elsevier, vol. 279(2), pages 429-448.
    27. Liu, Kaijun & Zhou, Yonghong & Zhang, Zigang, 2010. "Capacitated location model with online demand pooling in a multi-channel supply chain," European Journal of Operational Research, Elsevier, vol. 207(1), pages 218-231, November.
    28. Umit Akinc & Basheer M. Khumawala, 1977. "An Efficient Branch and Bound Algorithm for the Capacitated Warehouse Location Problem," Management Science, INFORMS, vol. 23(6), pages 585-594, February.
    29. Feng Yang & Bruce Ankenman & Barry L. Nelson, 2007. "Efficient generation of cycle time‐throughput curves through simulation and metamodeling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(1), pages 78-93, February.
    30. Stephen C. Graves & Sean P. Willems, 2003. "Erratum: Optimizing Strategic Safety Stock Placement in Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 5(2), pages 176-177.
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