IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v105y2021ics0305048321001262.html
   My bibliography  Save this article

An analysis of optimal ordering policies for a two-supplier system with disruption risk

Author

Listed:
  • Luo, Sha
  • Ahiska, S. Sebnem
  • Fang, Shu-Cherng
  • King, Russell E.
  • Warsing, Donald P.
  • Wu, Shuohao

Abstract

We study a single-product, periodic-review inventory system with the presence of fixed ordering cost. There are two suppliers: One is perfectly reliable while the other offers a cost advantage but is subject to possible supply interruptions. We present a theoretical framework with mathematical proofs for the optimal ordering policy in the finite-horizon setting, which exhibits an (s,S) structure, but with multiple, sometimes overlapping, reorder points and order-up-to levels. Then, we analyze the limiting behavior of our (s,S) policy and show that both the optimal cost and ordering policy parameters converge over time. This steady-state (s,S) policy characterizes the optimal sourcing strategy for the infinite-horizon setting. Through computational studies, we investigate the effects of parameter changes on the optimal policy and demonstrate that our two-supplier (s,S) ordering policy is optimal under a wide range of system parameters beyond the conditions required in the optimality proof.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:jomega:v:105:y:2021:i:c:s0305048321001262
    DOI: 10.1016/j.omega.2021.102517
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305048321001262
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.omega.2021.102517?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. 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.
    2. Suresh P. Sethi & Feng Cheng, 1997. "Optimality of ( s , S ) Policies in Inventory Models with Markovian Demand," Operations Research, INFORMS, vol. 45(6), pages 931-939, December.
    3. Wu, Junjian & Wang, Haiyan & Shang, Jennifer, 2019. "Multi-sourcing and information sharing under competition and supply uncertainty," European Journal of Operational Research, Elsevier, vol. 278(2), pages 658-671.
    4. Dmitry Ivanov & Alexandre Dolgui & Boris Sokolov & Marina Ivanova, 2017. "Literature review on disruption recovery in the supply chain," International Journal of Production Research, Taylor & Francis Journals, vol. 55(20), pages 6158-6174, October.
    5. He, Jian & Alavifard, Farzad & Ivanov, Dmitry & Jahani, Hamed, 2019. "A real-option approach to mitigate disruption risk in the supply chain," Omega, Elsevier, vol. 88(C), pages 133-149.
    6. Sawik, Tadeusz, 2014. "Joint supplier selection and scheduling of customer orders under disruption risks: Single vs. dual sourcing," Omega, Elsevier, vol. 43(C), pages 83-95.
    7. 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.
    8. Jing-Sheng Song, 1994. "The Effect of Leadtime Uncertainty in a Simple Stochastic Inventory Model," Management Science, INFORMS, vol. 40(5), pages 603-613, May.
    9. Evan L. Porteus, 1971. "On the Optimality of Generalized (s, S) Policies," Management Science, INFORMS, vol. 17(7), pages 411-426, March.
    10. Varun Gupta & Dmitry Ivanov, 2020. "Dual sourcing under supply disruption with risk-averse suppliers in the sharing economy," International Journal of Production Research, Taylor & Francis Journals, vol. 58(1), pages 291-307, January.
    11. Wen Chen & Qi Feng & Sridhar Seshadri, 2013. "Sourcing from suppliers with random yield for price-dependent demand," Annals of Operations Research, Springer, vol. 208(1), pages 557-579, September.
    12. 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.
    13. Arda, Yasemin & Hennet, Jean-Claude, 2006. "Inventory control in a multi-supplier system," International Journal of Production Economics, Elsevier, vol. 104(2), pages 249-259, December.
    14. Yu, Haisheng & Zeng, Amy Z. & Zhao, Lindu, 2009. "Single or dual sourcing: decision-making in the presence of supply chain disruption risks," Omega, Elsevier, vol. 37(4), pages 788-800, August.
    15. Brian Tomlin, 2009. "Impact of Supply Learning When Suppliers Are Unreliable," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 192-209, August.
    16. Hosseini, Seyedmohsen & Ivanov, Dmitry & Dolgui, Alexandre, 2019. "Review of quantitative methods for supply chain resilience analysis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 125(C), pages 285-307.
    17. Ravi Anupindi & Ram Akella, 1993. "Diversification Under Supply Uncertainty," Management Science, INFORMS, vol. 39(8), pages 944-963, August.
    18. 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.
    19. Parlar, Mahmut & Wang, Yunzeng & Gerchak, Yigal, 1995. "A periodic review inventory model with Markovian supply availability," International Journal of Production Economics, Elsevier, vol. 42(2), pages 131-136, December.
    20. 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.
    21. Lijun Ma & Weili Xue & Yingxue Zhao & Qinghua Zeng, 2016. "Loss-averse newsvendor problem with supply risk," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(2), pages 214-228, February.
    22. Suresh P. Sethi & Houmin Yan & Hanqin Zhang, 2003. "Inventory Models with Fixed Costs, Forecast Updates, and Two Delivery Modes," Operations Research, INFORMS, vol. 51(2), pages 321-328, April.
    23. Candace Arai Yano & Hau L. Lee, 1995. "Lot Sizing with Random Yields: A Review," Operations Research, INFORMS, vol. 43(2), pages 311-334, April.
    24. Donald L. Iglehart, 1963. "Optimality of (s, S) Policies in the Infinite Horizon Dynamic Inventory Problem," Management Science, INFORMS, vol. 9(2), pages 259-267, January.
    25. Yu-Sheng Zheng & A. Federgruen, 1991. "Finding Optimal (s, S) Policies Is About As Simple As Evaluating a Single Policy," Operations Research, INFORMS, vol. 39(4), pages 654-665, August.
    26. Warsing, Donald P. & Wangwatcharakul, Worawut & King, Russell E., 2019. "Computing base-stock levels for a two-stage supply chain with uncertain supply," Omega, Elsevier, vol. 89(C), pages 92-109.
    27. Freeman, Nickolas & Mittenthal, John & Keskin, Burcu & Melouk, Sharif, 2018. "Sourcing strategies for a capacitated firm subject to supply and demand uncertainty," Omega, Elsevier, vol. 77(C), pages 127-142.
    28. Jing-Sheng Song & Paul H. Zipkin, 1996. "Inventory Control with Information About Supply Conditions," Management Science, INFORMS, vol. 42(10), pages 1409-1419, October.
    29. Lücker, Florian & Seifert, Ralf W., 2017. "Building up Resilience in a Pharmaceutical Supply Chain through Inventory, Dual Sourcing and Agility Capacity," Omega, Elsevier, vol. 73(C), pages 114-124.
    30. 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.
    31. Yuan, Xiaoyong & Bi, Gongbing & Fei, Yalei & Liu, Lindong, 2021. "Supply chain with random yield and financing," Omega, Elsevier, vol. 102(C).
    32. S. Özekici & M. Parlar, 1999. "Inventory models with unreliable suppliersin a random environment," Annals of Operations Research, Springer, vol. 91(0), pages 123-136, January.
    33. Awi Federgruen & Nan Yang, 2011. "TECHNICAL NOTE---Procurement Strategies with Unreliable Suppliers," Operations Research, INFORMS, vol. 59(4), pages 1033-1039, August.
    34. Yimin Wang & Wendell Gilland & Brian Tomlin, 2010. "Mitigating Supply Risk: Dual Sourcing or Process Improvement?," Manufacturing & Service Operations Management, INFORMS, vol. 12(3), pages 489-510, September.
    35. Bin Hu & Dimitris Kostamis, 2015. "Managing Supply Disruptions when Sourcing from Reliable and Unreliable Suppliers," Production and Operations Management, Production and Operations Management Society, vol. 24(5), pages 808-820, May.
    36. Arthur F. Veinott, Jr. & Harvey M. Wagner, 1965. "Computing Optimal (s, S) Inventory Policies," Management Science, INFORMS, vol. 11(5), pages 525-552, March.
    37. Youhua (Frank) Chen & Saibal Ray & Yuyue Song, 2006. "Optimal pricing and inventory control policy in periodic‐review systems with fixed ordering cost and lost sales," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(2), pages 117-136, March.
    38. Doğan A Serel, 2014. "Optimal resource acquisition policy for a newsvendor under supply risk," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(11), pages 1748-1759, November.
    39. Varun Gupta & Bo He & Suresh P. Sethi, 2015. "Contingent sourcing under supply disruption and competition," International Journal of Production Research, Taylor & Francis Journals, vol. 53(10), pages 3006-3027, May.
    40. Hosseini, Seyedmohsen & Morshedlou, Nazanin & Ivanov, Dmitry & Sarder, M.D. & Barker, Kash & Khaled, Abdullah Al, 2019. "Resilient supplier selection and optimal order allocation under disruption risks," International Journal of Production Economics, Elsevier, vol. 213(C), pages 124-137.
    41. Edward J. Fox & Richard Metters & John Semple, 2006. "Optimal Inventory Policy with Two Suppliers," Operations Research, INFORMS, vol. 54(2), pages 389-393, April.
    42. 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.
    43. 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.
    44. Ryu, Si Wook & Lee, Kyung Keun, 2003. "A stochastic inventory model of dual sourced supply chain with lead-time reduction," International Journal of Production Economics, Elsevier, vol. 81(1), pages 513-524, January.
    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. Komeyl Baghizadeh & Nafiseh Ebadi & Dominik Zimon & Luay Jum’a, 2022. "Using Four Metaheuristic Algorithms to Reduce Supplier Disruption Risk in a Mathematical Inventory Model for Supplying Spare Parts," Mathematics, MDPI, vol. 11(1), pages 1-19, December.
    2. Qiu, Ruozhen & Sun, Yue & Sun, Minghe, 2022. "A robust optimization approach for multi-product inventory management in a dual-channel warehouse under demand uncertainties," Omega, Elsevier, vol. 109(C).
    3. Cassidey, Thomas B. & Freeman, Nickolas & Melouk, Sharif, 2022. "Leveraging concurrent sourcing for risk mitigation and pricing," Omega, Elsevier, vol. 113(C).
    4. 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).

    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. Gupta, Varun & Ivanov, Dmitry & Choi, Tsan-Ming, 2021. "Competitive pricing of substitute products under supply disruption," Omega, Elsevier, vol. 101(C).
    3. Basu, Preetam & Avittathur, Balram, 2018. "Pricing and sourcing strategies for competing retailers in supply chains under disruption riskAuthor-Name: Kumar, Milan," European Journal of Operational Research, Elsevier, vol. 265(2), pages 533-543.
    4. 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.
    5. Seung Hwan Jung, 2020. "Offshore versus Onshore Sourcing: Quick Response, Random Yield, and Competition," Production and Operations Management, Production and Operations Management Society, vol. 29(3), pages 750-766, March.
    6. 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.
    7. Chen, Junlin & Zhao, Xiaobo & Zhou, Yun, 2012. "A periodic-review inventory system with a capacitated backup supplier for mitigating supply disruptions," European Journal of Operational Research, Elsevier, vol. 219(2), pages 312-323.
    8. 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.
    9. Qi Feng & J. George Shanthikumar, 2018. "Supply and Demand Functions in Inventory Models," Operations Research, INFORMS, vol. 66(1), pages 77-91, 1-2.
    10. Huang, He & Xu, Hongyan, 2015. "Dual sourcing and backup production: Coexistence versus exclusivity," Omega, Elsevier, vol. 57(PA), pages 22-33.
    11. 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).
    12. 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.
    13. Divya Tiwari & Rahul Patil & Janat Shah, 2015. "Sequential unreliable newsboy ordering policies," Annals of Operations Research, Springer, vol. 233(1), pages 449-463, October.
    14. 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.
    15. Yuan, Xiaoyong & Bi, Gongbing & Fei, Yalei & Liu, Lindong, 2021. "Supply chain with random yield and financing," Omega, Elsevier, vol. 102(C).
    16. Bo He & He Huang & Kaifu Yuan, 2016. "Managing supply disruption through procurement strategy and price competition," International Journal of Production Research, Taylor & Francis Journals, vol. 54(7), pages 1980-1999, April.
    17. Qi, Lian & Shi, Jim (Junmin) & Xu, Xiaowei, 2015. "Supplier competition and its impact on firm׳s sourcing strategy," Omega, Elsevier, vol. 55(C), pages 91-110.
    18. 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.
    19. Aldrighetti, Riccardo & Battini, Daria & Ivanov, Dmitry & Zennaro, Ilenia, 2021. "Costs of resilience and disruptions in supply chain network design models: A review and future research directions," International Journal of Production Economics, Elsevier, vol. 235(C).
    20. Dmitry Ivanov, 2022. "Viable supply chain model: integrating agility, resilience and sustainability perspectives—lessons from and thinking beyond the COVID-19 pandemic," Annals of Operations Research, Springer, vol. 319(1), pages 1411-1431, December.

    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:jomega:v:105:y:2021:i:c:s0305048321001262. 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/wps/find/journaldescription.cws_home/375/description#description .

    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.