Skip to main content
Log in

Component Allocation in Make-to-stock Assembly Systems

  • Original Research
  • Published:
Operations Research Forum Aims and scope Submit manuscript

Abstract

This paper compares the performance of different component allocation rules in MTS (make-to-stock) assembly systems. The component allocation problem has to be solved if actual component stocks do not cover the deviations between the secondary demand forecast and the actual component demand. This problem has high relevance for practice and is routinely solved in ERP (enterprise resource planning) systems. The available algorithms for solving this problem often apply the FCFS (first-come-first-served) rule. However, it is not known how FCFS performs compared to other rules. This paper provides new insights into this. We consider an alternative assumption on inventory reservation (FRFS: this with different prioritization rules, which are applied if orders for multiple finished products are in a backlog or occur in the same period. We show that the dominance of FRFS over FCFS in a well-researched ATO (assemble-to-order) setting does not extend to MTS systems. Our numerical results suggest that choosing a proper allocation rule can offer significant benefits. The most effective rule is FRFS with the minimization of expected finished item backorder costs. This rule can realize average savings in inventory holding and backorder costs of 8.2% compared to standard FCFS, where the earliest created orders have the highest priority. The savings increase markedly with tight capacities; the effects of lot sizes are minor.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1

Similar content being viewed by others

Data Availability Statement

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

References

  1. Hadley HG, Within TM (1963) Analysis of Inventory Systems. Prentice Hall, Englewood Cliffs NJ

  2. Lu Y, Song JS, Zhao Y (2010) No-holdback allocation rules for continuous-time assemble-to-order systems. Oper Res 58(3):691–705

    Article  Google Scholar 

  3. Kapuscinski R, Zhang R, Carbonneau P, Moore R, Reeves B (2004) Inventory decisions in Dell’s supply chain. Interfaces 34(3):191–205

    Article  Google Scholar 

  4. Xu P, Allgor R, Graves S (2009) Benefits of reevaluating real-time order fulfillment decisions. Manu Serv Oper Manag 11(2):340–355

    Article  Google Scholar 

  5. Graves SC, Willems SP (2003) Supply chain design: Safety stock placement and supply chain configuration. In: Supply Chain Management: Design, Coordination and Operation, vol. 11 of Handbooks in Operations Research and Management Science. Elsevier, Netherland, pp 95–132

  6. de Kok TG, Fransoo JC (2003) Planning supply chain operations: Definition and comparison of planning concepts. In: Supply Chain Management: Design, Coordination and Operation, vol. 11 of Handbooks in Operations Research and Management Science. Elsevier, Netherlands, pp 597–675

  7. Ettl M, Feigin GE, Lin GY, Yao DD (2000) A supply network model with base-stock control and service requirements. Oper Res 48(2):216–237

    Article  Google Scholar 

  8. Albrecht M (2014) Determining near optimal base-stock levels in two-stage general inventory systems. Euro J Oper Res 232(2):342–349

    Article  Google Scholar 

  9. Benbitour M, Sahin E, Dallery Y (2018) The use of rush deliveries in periodic review assemble-to-order systems. Int J Prod Res 57(11):1–20

  10. de Kok TG, Visschers JW (1999) Analysis of assembly systems with service level constraints. Int J Prod Eco 59(1–3):313–326

    Article  Google Scholar 

  11. Song JS, Zhao Y (2009) The value of component commonality in a dynamic inventory system with lead times. Manu Serv Oper Manag 11(3):493–508

    Article  Google Scholar 

  12. Enders P, Adan I, Scheller-Wolf A, van Houtum G-J (2014) Inventory rationing for a system with heterogeneous customer classes. Flex Serv Manu J 26(3):344–386

    Google Scholar 

  13. Kilger C, Meyr H (2015) Demand Fulfilment and ATP. In: Stadtler H, Kilger C, Meyr H (eds) Supply Chain Management and Advanced Planning. Springer, Berlin et al

  14. Quante R, Meyr H, Fleischmann M (2009) Revenue management and demand fulfillment: Matching applications, models, and software. OR Spectrum 31(1):229–256

    Article  Google Scholar 

  15. Vogel S, Meyr H (2015) Decentral allocation planning in multi-stage customer hierarchies. Euro J Oper Res 246(2):462–470

    Article  Google Scholar 

  16. Kloos K, Pibernik R (2020) Allocation planning under service-level contracts. Euro J Oper Res 280(1):203–218

    Article  Google Scholar 

  17. Benjaafar S, ElHafsi M, Lee C-Y, Zhou W (2011) Technical note – optimal control of an assembly system with multiple stages and multiple demand classes. Oper Res 59(2):522–529

    Article  Google Scholar 

  18. Nadar E, Akan M, Scheller-Wolf A (2014) Technical note – optimal structural results for assemble-to-order generalized M-systems. Oper Res 62(3):571–579

    Article  Google Scholar 

  19. ElHafsi M, Fang J, Hamouda E (2020) A novel decomposition-based method for solving general-product structure assemble-to-order systems. Euro J Oper Res 286(1):233–249

    Article  Google Scholar 

  20. Dogru MK, Reiman MI, Wang Q (2010) A stochastic programming based inventory policy for assemble-to-order systems with application to the W model. Oper Res 58(4):849–864

    Article  Google Scholar 

  21. van Jaarsveld W, Scheller-Wolf A (2015) Optimization of industrial-scale assemble-to-order systems. Info J Comp 27(3):544–560

    Article  Google Scholar 

  22. Reiman MI, Wang Q (2015) Asymptotically optimal inventory control for assemble-to-order systems with identical lead times. Oper Res 63(3):716–732

    Article  Google Scholar 

  23. Albrecht M (2017) Optimization of safety stocks in models with an order service level objective or constraint. Euro J Oper Res 263(3):900–909

    Article  Google Scholar 

  24. Karaarslan G, Atan Z, de Kok T, Kiesmller G (2018) Optimal and heuristic policies for assemble-to-order systems with different review periods. Euro J Oper Res 271(1):80–96

    Article  Google Scholar 

  25. Deza A, Huang K, Liang H, Wang X (2020) On inventory allocation for periodic review assemble-to-order systems. Disc Appl Math 275:29–41

    Article  Google Scholar 

  26. DeValve L, Pekeč S, Wei Y (2020) A primal-dual approach to analyzing ATO systems. Manag Sci. Forthcoming

  27. Atan Z, Ahmadi T, Stegehuis C, de Kok T, Adan I (2017) Assemble-to-order systems: A review. Euro J Oper Res 261(3):866–879

    Article  Google Scholar 

  28. Silver EA, Pyke DF, Thomas DJ (2016) Inventory and Production Management in Supply Chains. CRC Press, Boca Raton

    Book  Google Scholar 

  29. Zipkin PH (2000) Foundations of inventory management. McGraw-Hill, Boston

    Google Scholar 

  30. Karmarkar US (1981) Equalization of runout times. Oper Res 29(4):757–762

    Article  Google Scholar 

  31. de Kok TG, Visschers JWCH (1999) Analysis of assembly systems with service level constraints. Int J Prod Econ 59(1–3):313–326

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Martin Albrecht .

Ethics declarations

Financial and Ethical Disclosures

This study was not funded. The author declares that there is no conflict of interest.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Albrecht , M. Component Allocation in Make-to-stock Assembly Systems. SN Oper. Res. Forum 2, 27 (2021). https://doi.org/10.1007/s43069-021-00067-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s43069-021-00067-y

Keywords

Navigation