IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v59y2013i9p2079-2092.html
   My bibliography  Save this article

Inventory Management for an Assembly System Subject to Supply Disruptions

Author

Listed:
  • Gregory A. DeCroix

    (Wisconsin School of Business, University of Wisconsin–Madison, Madison, Wisconsin 53706)

Abstract

We consider an assembly system with a single end product and a general assembly structure, where one or more of the component suppliers or (sub)assembly production processes is subject to random supply disruptions. We present a method for reducing the system to an equivalent system with some subsystems replaced by a series structure. This reduction simplifies the computation of optimal ordering policies and can also allow for comparison of disruption impacts across systems with different supply chain structures. We identify conditions under which a state-dependent echelon base-stock policy is optimal. Based on this result, we propose a heuristic policy for solving the assembly system with disruptions and test its performance in numerical trials. Using additional numerical trials, we explore a variety of strategic questions. For example, contrary to what is typically observed in systems without disruptions, we find that choosing a supplier with a longer lead time can sometimes yield lower system costs. We also find that backup supply is more valuable for a supplier with a shorter lead time than one with a longer lead time. In addition, because of component complementarities, we find that choosing suppliers whose disruptions are perfectly correlated yields lower system costs than choosing suppliers whose disruptions are independent, in contrast to the strategy that is typically preferred when choosing backup suppliers for a single product. This paper was accepted by Gérard P. Cachon, operations management.

Suggested Citation

  • Gregory A. DeCroix, 2013. "Inventory Management for an Assembly System Subject to Supply Disruptions," Management Science, INFORMS, vol. 59(9), pages 2079-2092, September.
  • Handle: RePEc:inm:ormnsc:v:59:y:2013:i:9:p:2079-2092
    DOI: 10.1287/mnsc.1120.1660
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.1120.1660
    Download Restriction: no

    File URL: https://libkey.io/10.1287/mnsc.1120.1660?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    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. Fangruo Chen & Yu-Sheng Zheng, 1994. "Lower Bounds for Multi-Echelon Stochastic Inventory Systems," Management Science, INFORMS, vol. 40(11), pages 1426-1443, November.
    3. Kim, Hyoungtae & Lu, Jye-Chyi & Kvam, Paul H. & Tsao, Yu-Chung, 2011. "Ordering quantity decisions considering uncertainty in supply-chain logistics operations," International Journal of Production Economics, Elsevier, vol. 134(1), pages 16-27, November.
    4. Jing-Sheng Song & Paul H. Zipkin, 1996. "Inventory Control with Information About Supply Conditions," Management Science, INFORMS, vol. 42(10), pages 1409-1419, October.
    5. Awi Federgruen & Paul Zipkin, 1984. "Computational Issues in an Infinite-Horizon, Multiechelon Inventory Model," Operations Research, INFORMS, vol. 32(4), pages 818-836, August.
    6. Parlar, Mahmut & Perry, David, 1995. "Analysis of a (Q, r, T) inventory policy with deterministic and random yields when future supply is uncertain," European Journal of Operational Research, Elsevier, vol. 84(2), pages 431-443, July.
    7. Kaj Rosling, 1989. "Optimal Inventory Policies for Assembly Systems Under Random Demands," Operations Research, INFORMS, vol. 37(4), pages 565-579, August.
    8. Parlar, Mahmut, 1997. "Continuous-review inventory problem with random supply interruptions," European Journal of Operational Research, Elsevier, vol. 99(2), pages 366-385, June.
    9. Ülkü Gürler & Mahmut Parlar, 1997. "An Inventory Problem with Two Randomly Available Suppliers," Operations Research, INFORMS, vol. 45(6), pages 904-918, December.
    10. Ramesh Bollapragada & Uday S. Rao & Jun Zhang, 2004. "Managing Inventory and Supply Performance in Assembly Systems with Random Supply Capacity and Demand," Management Science, INFORMS, vol. 50(12), pages 1729-1743, December.
    11. Robert R. Meyer & Michael H. Rothkopf & Stephen A. Smith, 1979. "Reliability and Inventory in a Production-Storage System," Management Science, INFORMS, vol. 25(8), pages 799-807, August.
    12. Jing-Sheng Song & David D. Yao, 2002. "Performance Analysis and Optimization of Assemble-to-Order Systems with Random Lead Times," Operations Research, INFORMS, vol. 50(5), pages 889-903, October.
    13. Tang, Christopher S., 2006. "Perspectives in supply chain risk management," International Journal of Production Economics, Elsevier, vol. 103(2), pages 451-488, October.
    14. Saif Benjaafar & Mohsen ElHafsi & Chung-Yee Lee & Weihua Zhou, 2011. "TECHNICAL NOTE---Optimal Control of an Assembly System with Multiple Stages and Multiple Demand Classes," Operations Research, INFORMS, vol. 59(2), pages 522-529, April.
    15. Mahmut Parlar & Defne Berkin, 1991. "Future supply uncertainty in EOQ models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(1), pages 107-121, February.
    16. Brian Tomlin, 2006. "On the Value of Mitigation and Contingency Strategies for Managing Supply Chain Disruption Risks," Management Science, INFORMS, vol. 52(5), pages 639-657, May.
    17. Kamran Moinzadeh & Prabhu Aggarwal, 1997. "Analysis of a Production/Inventory System Subject to Random Disruptions," Management Science, INFORMS, vol. 43(11), pages 1577-1588, November.
    18. Antonio Arreola‐Risa & Gregory A. DeCroix, 1998. "Inventory management under random supply disruptions and partial backorders," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(7), pages 687-703, October.
    19. Oben Ceryan & Izak Duenyas & Yoram Koren, 2012. "Optimal control of an assembly system with demand for the end-product and intermediate components," IISE Transactions, Taylor & Francis Journals, vol. 44(5), pages 386-403.
    20. Masih-Tehrani, Behdad & Xu, Susan H. & Kumara, Soundar & Li, Haijun, 2011. "A single-period analysis of a two-echelon inventory system with dependent supply uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 45(8), pages 1128-1151, September.
    21. Gurnani, Haresh, 1996. "Optimal ordering policies in inventory systems with random demand and random deal offerings," European Journal of Operational Research, Elsevier, vol. 95(2), pages 299-312, December.
    22. Mahmut Parlar & David Perry, 1996. "Inventory models of future supply uncertainty with single and multiple suppliers," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(2), pages 191-210, March.
    23. 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.
    24. Rodney P. Parker & Roman Kapuscinski, 2004. "Optimal Policies for a Capacitated Two-Echelon Inventory System," Operations Research, INFORMS, vol. 52(5), pages 739-755, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Weiwei Li & Lisheng Weng & Kaixu Zhao & Sidong Zhao & Ping Zhang, 2021. "Research on the Evaluation of Real Estate Inventory Management in China," Land, MDPI, vol. 10(12), pages 1-29, November.
    2. Li, Tingting & Chen, Junlin, 2020. "Alliance formation in assembly systems with quality-improvement incentives," European Journal of Operational Research, Elsevier, vol. 285(3), pages 931-940.
    3. Sarah Yini Gao & David Simchi-Levi & Chung-Piaw Teo & Zhenzhen Yan, 2019. "Disruption Risk Mitigation in Supply Chains: The Risk Exposure Index Revisited," Operations Research, INFORMS, vol. 67(3), pages 831-852, May.
    4. Liu, Zhongyi & Li, Mengyu & Zhai, Xin, 2022. "Managing supply chain disruption threat via a strategy combining pricing and self-protection," International Journal of Production Economics, Elsevier, vol. 247(C).
    5. Ji, Xiang & Sun, Jiasen & Wang, Zebin, 2017. "Turn bad into good: Using transshipment-before-buyback for disruptions of stochastic demand," International Journal of Production Economics, Elsevier, vol. 185(C), pages 150-161.
    6. Choi, Tsan-Ming & Shi, Xiutian, 2022. "Reducing supply risks by supply guarantee deposit payments in the fashion industry in the “new normal after COVID-19”," Omega, Elsevier, vol. 109(C).
    7. Alexandar Angelus & Özalp Özer, 2016. "Knowledge You Can Act on: Optimal Policies for Assembly Systems with Expediting and Advance Demand Information," Operations Research, INFORMS, vol. 64(6), pages 1338-1371, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. de Kok, Ton & Grob, Christopher & Laumanns, Marco & Minner, Stefan & Rambau, Jörg & Schade, Konrad, 2018. "A typology and literature review on stochastic multi-echelon inventory models," European Journal of Operational Research, Elsevier, vol. 269(3), pages 955-983.
    2. Süleyman Demirel & Roman Kapuscinski & Man Yu, 2018. "Strategic Behavior of Suppliers in the Face of Production Disruptions," Management Science, INFORMS, vol. 64(2), pages 533-551, February.
    3. Taleizadeh, Ata Allah & Tafakkori, Keivan & Thaichon, Park, 2021. "Resilience toward supply disruptions: A stochastic inventory control model with partial backordering under the base stock policy," Journal of Retailing and Consumer Services, Elsevier, vol. 58(C).
    4. Saeed Poormoaied & Ece Zeliha Demirci, 2021. "Analysis of an inventory system with emergency ordering option at the time of supply disruption," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(4), pages 1007-1045, December.
    5. Snyder, Lawrence V., 2014. "A tight approximation for an EOQ model with supply disruptions," International Journal of Production Economics, Elsevier, vol. 155(C), pages 91-108.
    6. Antonio Arreola‐Risa & Gregory A. DeCroix, 1998. "Inventory management under random supply disruptions and partial backorders," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(7), pages 687-703, October.
    7. Sevgen, Arya & Sargut, F. Zeynep, 2019. "May reorder point help under disruptions?," International Journal of Production Economics, Elsevier, vol. 209(C), pages 61-69.
    8. Brian Tomlin, 2006. "On the Value of Mitigation and Contingency Strategies for Managing Supply Chain Disruption Risks," Management Science, INFORMS, vol. 52(5), pages 639-657, May.
    9. Soroush Saghafian & Mark P. Van Oyen, 2016. "Compensating for Dynamic Supply Disruptions: Backup Flexibility Design," Operations Research, INFORMS, vol. 64(2), pages 390-405, April.
    10. Yimin Wang & Brian Tomlin, 2009. "To wait or not to wait: Optimal ordering under lead time uncertainty and forecast updating," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(8), pages 766-779, December.
    11. Brian M. Lewis & Alan L. Erera & Maciek A. Nowak & White Chelsea C., 2013. "Managing Inventory in Global Supply Chains Facing Port-of-Entry Disruption Risks," Transportation Science, INFORMS, vol. 47(2), pages 162-180, May.
    12. Silbermayr, Lena & Minner, Stefan, 2014. "A multiple sourcing inventory model under disruption risk," International Journal of Production Economics, Elsevier, vol. 149(C), pages 37-46.
    13. Çağrı Latifoğlu & Pietro Belotti & Lawrence V. Snyder, 2013. "Models for production planning under power interruptions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(5), pages 413-431, August.
    14. Alp Muharremoglu & John N. Tsitsiklis, 2008. "A Single-Unit Decomposition Approach to Multiechelon Inventory Systems," Operations Research, INFORMS, vol. 56(5), pages 1089-1103, October.
    15. Wagner, Laura & Gürbüz, Mustafa Ҫagri & Parlar, Mahmut, 2019. "Is it fake? Using potentially low quality suppliers as back-up when genuine suppliers are unavailable," International Journal of Production Economics, Elsevier, vol. 213(C), pages 185-200.
    16. Jingfu Huang & Gaoke Wu & Yiju Wang, 2021. "Retailer’s Emergency Ordering Policy When Facing an Impending Supply Disruption," Sustainability, MDPI, vol. 13(13), pages 1-21, June.
    17. Svoboda, Josef & Minner, Stefan & Yao, Man, 2021. "Typology and literature review on multiple supplier inventory control models," European Journal of Operational Research, Elsevier, vol. 293(1), pages 1-23.
    18. Gregory A. DeCroix, 2006. "Optimal Policy for a Multiechelon Inventory System with Remanufacturing," Operations Research, INFORMS, vol. 54(3), pages 532-543, June.
    19. Hishamuddin, Hawa & Sarker, Ruhul A. & Essam, Daryl, 2014. "A recovery mechanism for a two echelon supply chain system under supply disruption," Economic Modelling, Elsevier, vol. 38(C), pages 555-563.
    20. Gregory A. DeCroix & Paul H. Zipkin, 2005. "Inventory Management for an Assembly System with Product or Component Returns," Management Science, INFORMS, vol. 51(8), pages 1250-1265, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:59:y:2013:i:9:p:2079-2092. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.