IDEAS home Printed from https://ideas.repec.org/a/spr/flsman/v32y2020i2d10.1007_s10696-019-09374-3.html
   My bibliography  Save this article

Safety stock placement for serial systems under supply process uncertainty

Author

Listed:
  • Bengisu Urlu

    (INSEAD)

  • Nesim K. Erkip

    (Bilkent University)

Abstract

In this study, we address safety stock positioning when demand per period is a known constant but supply is uncertain. The supply is either available or not available, while the setting is that of a periodically reviewed, serial system following a base stock policy. Each stage is allowed to operate according to the guaranteed or stochastic service model. We use a Discrete Time Markov Chain model for expressing the expected on-hand inventories for each stage, along with other terms of interest, as a function of policy parameters determined by a given service level requirement for the end product. Exact models are constructed for single-stage and two-stage systems. As the number of states for a two-stage system grows exponentially, we propose an approximation for expressing the effect of the input stage using a single parameter. A generalization for the approximation is provided for a multi-stage problem. Computational evaluations of the approximation, as well as numerical comparisons of different cases, are presented.

Suggested Citation

  • Bengisu Urlu & Nesim K. Erkip, 2020. "Safety stock placement for serial systems under supply process uncertainty," Flexible Services and Manufacturing Journal, Springer, vol. 32(2), pages 395-424, June.
  • Handle: RePEc:spr:flsman:v:32:y:2020:i:2:d:10.1007_s10696-019-09374-3
    DOI: 10.1007/s10696-019-09374-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10696-019-09374-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10696-019-09374-3?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. Jörg Rambau & Konrad Schade, 2014. "Erratum to: The stochastic guaranteed service model with recourse for multi-echelon warehouse management," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 80(2), pages 225-226, October.
    2. 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.
    3. Stanley B. Gershwin, 1987. "An Efficient Decomposition Method for the Approximate Evaluation of Tandem Queues with Finite Storage Space and Blocking," Operations Research, INFORMS, vol. 35(2), pages 291-305, April.
    4. Stephen C. Graves & Sean P. Willems, 2005. "Optimizing the Supply Chain Configuration for New Products," Management Science, INFORMS, vol. 51(8), pages 1165-1180, August.
    5. Stanley Gershwin & James Schor, 2000. "Efficient algorithms for buffer space allocation," Annals of Operations Research, Springer, vol. 93(1), pages 117-144, January.
    6. 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.
    7. Inderfurth, Karl & Minner, Stefan, 1998. "Safety stocks in multi-stage inventory systems under different service measures," European Journal of Operational Research, Elsevier, vol. 106(1), pages 57-73, April.
    8. George Liberopoulos, 2018. "Performance evaluation of a production line operated under an echelon buffer policy," IISE Transactions, Taylor & Francis Journals, vol. 50(3), pages 161-177, March.
    9. 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.
    10. Gullu, Refik & Onol, Ebru & Erkip, Nesim, 1999. "Analysis of an inventory system under supply uncertainty," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 377-385, March.
    11. Candace Arai Yano & Hau L. Lee, 1995. "Lot Sizing with Random Yields: A Review," Operations Research, INFORMS, vol. 43(2), pages 311-334, April.
    12. Sophie Weiss & Justus Arne Schwarz & Raik Stolletz, 2019. "The buffer allocation problem in production lines: Formulations, solution methods, and instances," IISE Transactions, Taylor & Francis Journals, vol. 51(5), pages 456-485, May.
    13. Jörg Rambau & Konrad Schade, 2014. "The stochastic guaranteed service model with recourse for multi-echelon warehouse management," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 79(3), pages 293-326, June.
    14. Mordechai Henig & Yigal Gerchak, 1990. "The Structure of Periodic Review Policies in the Presence of Random Yield," Operations Research, INFORMS, vol. 38(4), pages 634-643, August.
    15. Markus Ettl & Gerald E. Feigin & Grace Y. Lin & David D. Yao, 2000. "A Supply Network Model with Base-Stock Control and Service Requirements," Operations Research, INFORMS, vol. 48(2), pages 216-232, April.
    16. 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.
    17. Kan Wu & Yichi Shen & Ning Zhao, 2017. "Analysis of tandem queues with finite buffer capacity," IISE Transactions, Taylor & Francis Journals, vol. 49(11), pages 1001-1013, November.
    18. Lawrence V. Snyder & Zümbül Atan & Peng Peng & Ying Rong & Amanda J. Schmitt & Burcu Sinsoysal, 2016. "OR/MS models for supply chain disruptions: a review," IISE Transactions, Taylor & Francis Journals, vol. 48(2), pages 89-109, February.
    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. 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. Eruguz, Ayse Sena & Sahin, Evren & Jemai, Zied & Dallery, Yves, 2016. "A comprehensive survey of guaranteed-service models for multi-echelon inventory optimization," International Journal of Production Economics, Elsevier, vol. 172(C), pages 110-125.
    3. Gel, Esma S. & Salman, F. Sibel, 2022. "Dynamic ordering decisions with approximate learning of supply yield uncertainty," International Journal of Production Economics, Elsevier, vol. 243(C).
    4. Kutzner, Sarah C. & Kiesmüller, Gudrun P., 2013. "Optimal control of an inventory-production system with state-dependent random yield," European Journal of Operational Research, Elsevier, vol. 227(3), pages 444-452.
    5. Kevin H. Shang & Jing-Sheng Song, 2006. "A Closed-Form Approximation for Serial Inventory Systems and Its Application to System Design," Manufacturing & Service Operations Management, INFORMS, vol. 8(4), pages 394-406, September.
    6. Albrecht, Martin, 2014. "Determining near optimal base-stock levels in two-stage general inventory systems," European Journal of Operational Research, Elsevier, vol. 232(2), pages 342-349.
    7. Asli Sencer Erdem & Mehmet Murat Fadilog̃lu & Süleyman Özekici, 2006. "An EOQ model with multiple suppliers and random capacity," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(1), pages 101-114, February.
    8. Baruah, Pundarikaksha, 2006. "Supply Chains Facing Atypical Demand: Optimal Operational Policies And Benefits Under Information Sharing," MPRA Paper 16101, University Library of Munich, Germany.
    9. Ziwei Lin & Nicla Frigerio & Andrea Matta & Shichang Du, 2021. "Multi-fidelity surrogate-based optimization for decomposed buffer allocation problems," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(1), pages 223-253, March.
    10. 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.
    11. Arifoglu, Kenan & Özekici, Süleyman, 2011. "Inventory management with random supply and imperfect information: A hidden Markov model," International Journal of Production Economics, Elsevier, vol. 134(1), pages 123-137, November.
    12. Mehmet Ulaş Koyuncuoğlu & Leyla Demir, 2021. "A comparison of combat genetic and big bang–big crunch algorithms for solving the buffer allocation problem," Journal of Intelligent Manufacturing, Springer, vol. 32(6), pages 1529-1546, August.
    13. Martin Albrecht, 2021. "Component Allocation in Make-to-stock Assembly Systems," SN Operations Research Forum, Springer, vol. 2(2), pages 1-19, June.
    14. Konstantaras, I. & Skouri, K. & Lagodimos, A.G., 2019. "EOQ with independent endogenous supply disruptions," Omega, Elsevier, vol. 83(C), pages 96-106.
    15. Yuan, Zhennan & Chen, Frank Y. & Yan, Xiaoming & Yu, Yugang, 2020. "Operational implications of yield uncertainty in mergers and acquisitions," International Journal of Production Economics, Elsevier, vol. 219(C), pages 248-258.
    16. Barros, Júlio & Cortez, Paulo & Carvalho, M. Sameiro, 2021. "A systematic literature review about dimensioning safety stock under uncertainties and risks in the procurement process," Operations Research Perspectives, Elsevier, vol. 8(C).
    17. Pan, Wenting & So, Kut C. & Xiao, Guang, 2022. "Benefits of backup sourcing for components in assembly systems under supply uncertainty," European Journal of Operational Research, Elsevier, vol. 302(1), pages 158-171.
    18. Argon, Nilay Tanik & Gullu, Refik & Erkip, Nesim, 2001. "Analysis of an inventory system under backorder correlated deterministic demand and geometric supply process," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 247-254, May.
    19. Voelkel, Michael A. & Sachs, Anna-Lena & Thonemann, Ulrich W., 2020. "An aggregation-based approximate dynamic programming approach for the periodic review model with random yield," European Journal of Operational Research, Elsevier, vol. 281(2), pages 286-298.
    20. Hsieh, Chung-Chi & Lai, Hsing-Hua, 2017. "Capacity allocation with differentiated product demands under dual sourcing," International Journal of Production Economics, Elsevier, vol. 193(C), pages 757-769.

    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:spr:flsman:v:32:y:2020:i:2:d:10.1007_s10696-019-09374-3. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.