IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v194y2009i1p78-84.html
   My bibliography  Save this article

Optimal policy for a two-facility inventory problem with storage constraints and two freight modes

Author

Listed:
  • Xu, Ningxiong

Abstract

This paper considers a two-facility supply chain for a single product in which facility 1 orders the product from facility 2 and facility 2 orders the product from a supplier in each period. The orders placed by each facility are delivered in two possible nonnegative integer numbers of periods. The difference between them is one period. Random demands in each period arise only at facility 1. There are physical storage constraints at both facilities in each period. The objective of the supply chain is to find an ordering policy that minimizes the expected cost over a finite horizon and the discounted stationary expected cost over an infinite horizon. We characterize the structure of the minimum expected cost and the optimal ordering policy for both the finite and the discounted stationary infinite horizon problems.

Suggested Citation

  • Xu, Ningxiong, 2009. "Optimal policy for a two-facility inventory problem with storage constraints and two freight modes," European Journal of Operational Research, Elsevier, vol. 194(1), pages 78-84, April.
    • Handle: RePEc:eee:ejores:v:194:y:2009:i:1:p:78-84
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(07)01156-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Paul Glasserman & Sridhar Tayur, 1994. "The Stability of a Capacitated, Multi-Echelon Production-Inventory System Under a Base-Stock Policy," Operations Research, INFORMS, vol. 42(5), pages 913-925, October.
    2. Yoichiro Fukuda, 1964. "Optimal Policies for the Inventory Problem with Negotiable Leadtime," Management Science, INFORMS, vol. 10(4), pages 690-708, July.
    3. Andrew J. Clark & Herbert Scarf, 2004. "Optimal Policies for a Multi-Echelon Inventory Problem," Management Science, INFORMS, vol. 50(12_supple), pages 1782-1790, December.
    4. Fangruo Chen & Jing-Sheng Song, 2001. "Optimal Policies for Multiechelon Inventory Problems with Markov-Modulated Demand," Operations Research, INFORMS, vol. 49(2), pages 226-234, April.
    5. Paul Glasserman & Sridhar Tayur, 1995. "Sensitivity Analysis for Base-Stock Levels in Multiechelon Production-Inventory Systems," Management Science, INFORMS, vol. 41(2), pages 263-281, February.
    6. 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.
    7. David G. Lawson & Evan L. Porteus, 2000. "Multistage Inventory Management with Expediting," Operations Research, INFORMS, vol. 48(6), pages 878-893, December.
    8. Arthur F. Veinott, Jr., 1966. "The Status of Mathematical Inventory Theory," Management Science, INFORMS, vol. 12(11), pages 745-777, July.
    9. 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. Xu, Ningxiong, 2011. "Myopic optimal policy for a multi-period, two-delivery-lead-times, stochastic inventory problem with minimum cumulative commitment and capacity," International Journal of Production Economics, Elsevier, vol. 133(2), pages 719-727, October.
    2. 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.
    3. Arts, Joachim & Kiesmüller, Gudrun P., 2013. "Analysis of a two-echelon inventory system with two supply modes," European Journal of Operational Research, Elsevier, vol. 225(2), pages 263-272.

    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. 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.
    2. Tong Wang & Xiting Gong & Sean X. Zhou, 2017. "Dynamic Inventory Management with Total Minimum Order Commitments and Two Supply Options," Operations Research, INFORMS, vol. 65(5), pages 1285-1302, October.
    3. 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.
    4. Jian Yang & Xiangtong Qi & Yusen Xia, 2005. "A Production-Inventory System with Markovian Capacity and Outsourcing Option," Operations Research, INFORMS, vol. 53(2), pages 328-349, April.
    5. 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.
    6. Woonghee Tim Huh & Ganesh Janakiraman & Mahesh Nagarajan, 2016. "Capacitated Multiechelon Inventory Systems: Policies and Bounds," Manufacturing & Service Operations Management, INFORMS, vol. 18(4), pages 570-584, October.
    7. Stephen C. Graves & Tor Schoenmeyr, 2016. "Strategic Safety-Stock Placement in Supply Chains with Capacity Constraints," Manufacturing & Service Operations Management, INFORMS, vol. 18(3), pages 445-460, July.
    8. Ioannis Ch. Paschalidis & Yong Liu, 2003. "Large Deviations-Based Asymptotics for Inventory Control in Supply Chains," Operations Research, INFORMS, vol. 51(3), pages 437-460, June.
    9. 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.
    10. Li Chen & Jing-Sheng Song & Yue Zhang, 2017. "Serial Inventory Systems with Markov-Modulated Demand: Derivative Bounds, Asymptotic Analysis, and Insights," Operations Research, INFORMS, vol. 65(5), pages 1231-1249, October.
    11. Woonghee Tim Huh & Ganesh Janakiraman & Mahesh Nagarajan, 2010. "Technical Note ---Capacitated Serial Inventory Systems: Sample Path and Stability Properties Under Base-Stock Policies," Operations Research, INFORMS, vol. 58(4-part-1), pages 1017-1022, August.
    12. Alexandar Angelus & Evan L. Porteus, 2008. "An Asset Assembly Problem," Operations Research, INFORMS, vol. 56(3), pages 665-680, June.
    13. Yee, Hannah & van Staden, Heletjé E. & Boute, Robert N., 2024. "Dual sourcing under non-stationary demand and partial observability," European Journal of Operational Research, Elsevier, vol. 314(1), pages 94-110.
    14. Qingkai Ji & Lijun Sun & Xiangpei Hu & Jing Hou, 2016. "Optimal policies of a two-echelon serial inventory system with general limited capacities," International Journal of Production Research, Taylor & Francis Journals, vol. 54(20), pages 6142-6155, October.
    15. Metin Çakanyildirim & Sirong Luo, 2017. "Stochastic inventory system with lead time flexibility: offered by a manufacturer/transporter," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(12), pages 1533-1552, December.
    16. Boulaksil, Youssef & Hamdouch, Younes & Ghoudi, Kilani & Fransoo, Jan C., 2021. "Comparing policies for the stochastic multi-period dual sourcing problem from a supply chain perspective," Other publications TiSEM 242598b9-99de-4a3c-a1a9-4, Tilburg University, School of Economics and Management.
    17. Boulaksil, Youssef & Hamdouch, Younes & Ghoudi, Kilani & Fransoo, Jan C., 2021. "Comparing policies for the stochastic multi-period dual sourcing problem from a supply chain perspective," International Journal of Production Economics, Elsevier, vol. 232(C).
    18. Scheller-Wolf, Alan & Tayur, Sridhar, 2009. "Risk sharing in supply chains using order bands--Analytical results and managerial insights," International Journal of Production Economics, Elsevier, vol. 121(2), pages 715-727, October.
    19. Tan Wang & L. Jeff Hong, 2023. "Large-Scale Inventory Optimization: A Recurrent Neural Networks–Inspired Simulation Approach," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 196-215, January.
    20. Steffen T. Klosterhalfen & Stefan Minner & Sean P. Willems, 2014. "Strategic Safety Stock Placement in Supply Networks with Static Dual Supply," Manufacturing & Service Operations Management, INFORMS, vol. 16(2), pages 204-219, May.

    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:ejores:v:194:y:2009:i:1:p:78-84. 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/eor .

    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.