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Optimal and heuristic policies for assemble-to-order systems with different review periods

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  • Karaarslan, Gönül A.
  • Atan, Zümbül
  • de Kok, Ton
  • Kiesmüller, Gudrun P.

Abstract

We study an assemble-to-order (ATO) system with a single end product assembled from two components. The inventory levels of the components are reviewed periodically. One component is expensive and has a long lead time and short review period, whereas the other component is relatively cheap with a shorter lead time and longer review period. The lead times are deterministic and review periods are determined exogenously. Stochastic customer demand occurs for the end product only and unsatisfied customer demands are backordered. The system incurs holding costs for component inventories and penalty costs for backorders. Assuming an infinite planning horizon, our objective is to identify the optimal component ordering policy to minimize the long-run average cost. Under specific demand distributions we identify the properties of the optimal component ordering policy and observe that the optimal policy has a complex state-dependent structure. Motivated by the complexity of the optimal policy, we introduce a heuristic component ordering policy for more general demand distributions. Given that the heuristic performs well, we use it to measure the effects of various system parameters on the total cost.

Suggested Citation

  • Karaarslan, Gönül A. & Atan, Zümbül & de Kok, Ton & Kiesmüller, Gudrun P., 2018. "Optimal and heuristic policies for assemble-to-order systems with different review periods," European Journal of Operational Research, Elsevier, vol. 271(1), pages 80-96.
  • Handle: RePEc:eee:ejores:v:271:y:2018:i:1:p:80-96
    DOI: 10.1016/j.ejor.2018.05.013
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    1. Charles P. Schmidt & Steven Nahmias, 1985. "Optimal Policy for a Two-Stage Assembly System under Random Demand," Operations Research, INFORMS, vol. 33(5), pages 1130-1145, October.
    2. Karaarslan, A.G. & Kiesmüller, G.P. & de Kok, A.G., 2013. "Analysis of an assemble-to-order system with different review periods," International Journal of Production Economics, Elsevier, vol. 143(2), pages 335-341.
    3. 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.
    4. Antony Svoronos & Paul Zipkin, 1988. "Estimating the Performance of Multi-Level Inventory Systems," Operations Research, INFORMS, vol. 36(1), pages 57-72, February.
    5. Elhafsi, Mohsen & Hamouda, Essia, 2015. "Managing an assemble-to-order system with after sales market for components," European Journal of Operational Research, Elsevier, vol. 242(3), pages 828-841.
    6. de Kok, Ton G. & Visschers, Jeremy W. C. H., 1999. "Analysis of assembly systems with service level constraints," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 313-326, March.
    7. Fangruo Chen, 2000. "Optimal Policies for Multi-Echelon Inventory Problems with Batch Ordering," Operations Research, INFORMS, vol. 48(3), pages 376-389, June.
    8. Martin I. Reiman & Qiong Wang, 2015. "Asymptotically Optimal Inventory Control for Assemble-to-Order Systems with Identical Lead Times," Operations Research, INFORMS, vol. 63(3), pages 716-732, June.
    9. Atan, Zümbül & Ahmadi, Taher & Stegehuis, Clara & Kok, Ton de & Adan, Ivo, 2017. "Assemble-to-order systems: A review," European Journal of Operational Research, Elsevier, vol. 261(3), pages 866-879.
    10. Lijian Lu & Jing‐Sheng Song & Hanqin Zhang, 2015. "Optimal and asymptotically optimal policies for assemble‐to‐order n‐ and W‐systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(8), pages 617-645, December.
    11. Mustafa K. Doğru & Martin I. Reiman & Qiong Wang, 2010. "A Stochastic Programming Based Inventory Policy for Assemble-to-Order Systems with Application to the W Model," Operations Research, INFORMS, vol. 58(4-part-1), pages 849-864, August.
    12. Emre Nadar & Mustafa Akan & Alan Scheller-Wolf, 2016. "Experimental Results Indicating Lattice-Dependent Policies May Be Optimal for General Assemble-To-Order Systems," Production and Operations Management, Production and Operations Management Society, vol. 25(4), pages 647-661, April.
    13. Emre Nadar & Mustafa Akan & Alan Scheller-Wolf, 2014. "Technical Note---Optimal Structural Results for Assemble-to-Order Generalized M -Systems," Operations Research, INFORMS, vol. 62(3), pages 571-579, June.
    14. Mustafa K. Doğru & Martin I. Reiman & Qiong Wang, 2017. "Assemble-to-Order Inventory Management via Stochastic Programming: Chained BOMs and the M-System," Production and Operations Management, Production and Operations Management Society, vol. 26(3), pages 446-468, March.
    15. Yingdong Lu & Jing-Sheng Song & Yao Zhao, 2010. "No-Holdback Allocation Rules for Continuous-Time Assemble-to-Order Systems," Operations Research, INFORMS, vol. 58(3), pages 691-705, June.
    16. Saif Benjaafar & Mohsen ElHafsi, 2006. "Production and Inventory Control of a Single Product Assemble-to-Order System with Multiple Customer Classes," Management Science, INFORMS, vol. 52(12), pages 1896-1912, December.
    17. Geert-Jan van Houtum & Alan Scheller-Wolf & Jinxin Yi, 2007. "Optimal Control of Serial Inventory Systems with Fixed Replenishment Intervals," Operations Research, INFORMS, vol. 55(4), pages 674-687, August.
    18. Kaj Rosling, 1989. "Optimal Inventory Policies for Assembly Systems Under Random Demands," Operations Research, INFORMS, vol. 37(4), pages 565-579, August.
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