IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v149y2014icp37-46.html
   My bibliography  Save this article

A multiple sourcing inventory model under disruption risk

Author

Listed:
  • Silbermayr, Lena
  • Minner, Stefan

Abstract

Interruptions in supply can have a severe impact on company performance. Their mitigation and management is therefore an important task. Reasons for interruptions can be machine breakdowns, material shortages, natural disasters, and labour strikes. Sourcing from multiple suppliers is a strategy to deal with and reduce supply disruption risk. We study a supply chain with one buyer facing Poisson demand who can procure from a set of potential suppliers who are not perfectly reliable. Each supplier is fully available for a certain amount of time (ON periods) and then breaks down for a certain amount of time during which it can supply nothing at all (OFF periods). The problem is modeled by a Semi-Markov decision process (SMDP) where demands, lead times and ON and OFF periods of the suppliers are stochastic. The objective is to minimize the buyer's long run average cost, including purchasing, holding and penalty costs. In a numerical study, we investigate the trade-off between single and multiple sourcing, as well as keeping inventory and having a back-up supplier. The results illustrate the benefit from dual souring compared to single sourcing and show the influence of the suppliers’ characteristics cost, speed and availability on the optimal policy. Further, the value of full information about the supplier status switching events is analyzed and the performance of the optimal policy is compared to an order-up-to-S policy. As the optimal policy is very complex, a simple heuristic providing good results compared to the optimal solution is developed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:proeco:v:149:y:2014:i:c:p:37-46
    DOI: 10.1016/j.ijpe.2013.03.025
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527313001734
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ijpe.2013.03.025?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Parlar, Mahmut, 1997. "Continuous-review inventory problem with random supply interruptions," European Journal of Operational Research, Elsevier, vol. 99(2), pages 366-385, June.
    2. Minner, Stefan, 2003. "Multiple-supplier inventory models in supply chain management: A review," International Journal of Production Economics, Elsevier, vol. 81(1), pages 265-279, January.
    3. Ravi Anupindi & Ram Akella, 1993. "Diversification Under Supply Uncertainty," Management Science, INFORMS, vol. 39(8), pages 944-963, August.
    4. 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.
    5. Maqbool Dada & Nicholas C. Petruzzi & Leroy B. Schwarz, 2007. "A Newsvendor's Procurement Problem when Suppliers Are Unreliable," Manufacturing & Service Operations Management, INFORMS, vol. 9(1), pages 9-32, August.
    6. Wedad J. Elmaghraby, 2000. "Supply Contract Competition and Sourcing Policies," Manufacturing & Service Operations Management, INFORMS, vol. 2(4), pages 350-371, April.
    7. Awi Federgruen & Nan Yang, 2008. "Selecting a Portfolio of Suppliers Under Demand and Supply Risks," Operations Research, INFORMS, vol. 56(4), pages 916-936, August.
    8. G P Kiesmüller & S Minner, 2003. "Simple expressions for finding recovery system inventory control parameter values," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(1), pages 83-88, January.
    9. Mohebbi, Esmail & Hao, Daipeng, 2006. "When supplier's availability affects the replenishment lead time--An extension of the supply-interruption problem," European Journal of Operational Research, Elsevier, vol. 175(2), pages 992-1008, December.
    10. 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.
    11. Tang, Christopher S., 2006. "Perspectives in supply chain risk management," International Journal of Production Economics, Elsevier, vol. 103(2), pages 451-488, October.
    12. Thomas, Douglas J. & Tyworth, John E., 2006. "Pooling lead-time risk by order splitting: A critical review," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 42(4), pages 245-257, July.
    13. 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.
    14. Giri, B.C., 2011. "Managing inventory with two suppliers under yield uncertainty and risk aversion," International Journal of Production Economics, Elsevier, vol. 133(1), pages 80-85, September.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. Silbermayr, Lena & Minner, Stefan, 2016. "Dual sourcing under disruption risk and cost improvement through learning," European Journal of Operational Research, Elsevier, vol. 250(1), pages 226-238.
    3. 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.
    4. Wagner, Stephan M. & Bode, Christoph & Koziol, Philipp, 2009. "Supplier default dependencies: Empirical evidence from the automotive industry," European Journal of Operational Research, Elsevier, vol. 199(1), pages 150-161, November.
    5. Gregory A. DeCroix, 2013. "Inventory Management for an Assembly System Subject to Supply Disruptions," Management Science, INFORMS, vol. 59(9), pages 2079-2092, September.
    6. Cheaitou, Ali & Cheaytou, Rima, 2019. "A two-stage capacity reservation supply contract with risky supplier and forecast updating," International Journal of Production Economics, Elsevier, vol. 209(C), pages 42-60.
    7. Pritee Ray & Mamata Jenamani, 2016. "Sourcing decision under disruption risk with supply and demand uncertainty: A newsvendor approach," Annals of Operations Research, Springer, vol. 237(1), pages 237-262, February.
    8. Erjie Ang & Dan A. Iancu & Robert Swinney, 2017. "Disruption Risk and Optimal Sourcing in Multitier Supply Networks," Management Science, INFORMS, vol. 63(8), pages 2397-2419, August.
    9. Xue, Weili & Choi, Tsan-Ming & Ma, Lijun, 2016. "Diversification strategy with random yield suppliers for a mean–variance risk-sensitive manufacturer," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 90(C), pages 90-107.
    10. Ahiska, S. Sebnem & Appaji, Samyuktha R. & King, Russell E. & Warsing, Donald P., 2013. "A Markov decision process-based policy characterization approach for a stochastic inventory control problem with unreliable sourcing," International Journal of Production Economics, Elsevier, vol. 144(2), pages 485-496.
    11. Luo, Sha & Ahiska, S. Sebnem & Fang, Shu-Cherng & King, Russell E. & Warsing, Donald P. & Wu, Shuohao, 2021. "An analysis of optimal ordering policies for a two-supplier system with disruption risk," Omega, Elsevier, vol. 105(C).
    12. Jain, Tarun & Hazra, Jishnu, 2017. "Dual sourcing under suppliers' capacity investments," International Journal of Production Economics, Elsevier, vol. 183(PA), pages 103-115.
    13. Pritee Ray & Mamata Jenamani, 2016. "Sourcing decision under disruption risk with supply and demand uncertainty: A newsvendor approach," Annals of Operations Research, Springer, vol. 237(1), pages 237-262, February.
    14. Xu, He & Zuo, Xiaolu & Liu, Zhixue, 2015. "Configuration of flexibility strategies under supply uncertainty," Omega, Elsevier, vol. 51(C), pages 71-82.
    15. Zhu, Stuart X., 2015. "Analysis of dual sourcing strategies under supply disruptions," International Journal of Production Economics, Elsevier, vol. 170(PA), pages 191-203.
    16. Meena, P.L. & Sarmah, S.P., 2013. "Multiple sourcing under supplier failure risk and quantity discount: A genetic algorithm approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 50(C), pages 84-97.
    17. Hagspiel, Simeon, 2016. "Supply Chain Reliability and the Role of Individual Suppliers," EWI Working Papers 2016-5, Energiewirtschaftliches Institut an der Universitaet zu Koeln (EWI).
    18. Huang, He & Xu, Hongyan, 2015. "Dual sourcing and backup production: Coexistence versus exclusivity," Omega, Elsevier, vol. 57(PA), pages 22-33.
    19. Jain, Tarun & Hazra, Jishnu, 2017. "Sourcing strategies under agglomeration economies, capacity risks and retail competition," International Journal of Production Economics, Elsevier, vol. 191(C), pages 311-322.
    20. Serel, Dogan A., 2008. "Inventory and pricing decisions in a single-period problem involving risky supply," International Journal of Production Economics, Elsevier, vol. 116(1), pages 115-128, November.

    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:eee:proeco:v:149:y:2014:i:c:p:37-46. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    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.