IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v47y2001i3p415-429.html
   My bibliography  Save this article

A Periodic Review Inventory System with Emergency Replenishments

Author

Listed:
  • George Tagaras

    (Department of Mechanical Engineering, Aristoteles University of Thessaloniki, 54006 Thessaloniki, Greece)

  • Dimitrios Vlachos

    (Department of Mechanical Engineering, Aristoteles University of Thessaloniki, 54006 Thessaloniki, Greece)

Abstract

This paper proposes and analyzes a periodic review inventory system with two replenishment modes. Regular orders are placed periodically following a base stock policy on inventory position, and arrive at the stocking location after a deterministic lead time. The location also has the option of placing emergency orders, characterized by a shorter lead time but higher acquisition cost, in case of imminent stockouts. Thus, at some appropriate time in the replenishment cycle, the necessity and size of an emergency order is determined according to a base stock policy on net stock. The timing of the emergency order is such that this order arrives and can be used to satisfy the demand in the time period just before the arrival of a regular order, when the likelihood of a stockout is highest. An approximate cost model is developed which can easily be optimized with respect to the order-up-to parameters. This model is used as the basis for a heuristic algorithm, which leads to solutions that are very close to the exact optimal solutions determined through simulation. It is shown that the proposed system offers substantial cost savings relative to a system without the emergency replenishment option.

Suggested Citation

  • George Tagaras & Dimitrios Vlachos, 2001. "A Periodic Review Inventory System with Emergency Replenishments," Management Science, INFORMS, vol. 47(3), pages 415-429, March.
  • Handle: RePEc:inm:ormnsc:v:47:y:2001:i:3:p:415-429
    DOI: 10.1287/mnsc.47.3.415.9770
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.47.3.415.9770
    Download Restriction: no

    File URL: https://libkey.io/10.1287/mnsc.47.3.415.9770?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. Chiang, Chi & Gutierrez, Genaro J., 1996. "A periodic review inventory system with two supply modes," European Journal of Operational Research, Elsevier, vol. 94(3), pages 527-547, November.
    2. Arthur F. Veinott, Jr., 1966. "The Status of Mathematical Inventory Theory," Management Science, INFORMS, vol. 12(11), pages 745-777, July.
    3. Yoichiro Fukuda, 1964. "Optimal Policies for the Inventory Problem with Negotiable Leadtime," Management Science, INFORMS, vol. 10(4), pages 690-708, July.
    4. Matthew Rosenshine & Duncan Obee, 1976. "Analysis of a Standing Order Inventory System with Emergency Orders," Operations Research, INFORMS, vol. 24(6), pages 1143-1155, December.
    5. Kamran Moinzadeh & Steven Nahmias, 1988. "A Continuous Review Model for an Inventory System with Two Supply Modes," Management Science, INFORMS, vol. 34(6), pages 761-773, June.
    6. Johansen, Soren Glud & Thorstenson, Anders, 1998. "An inventory model with Poisson demands and emergency orders," International Journal of Production Economics, Elsevier, vol. 56(1), pages 275-289, 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. Vlachos, Dimitrios & Tagaras, George, 2001. "An inventory system with two supply modes and capacity constraints," International Journal of Production Economics, Elsevier, vol. 72(1), pages 41-58, 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. 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.
    4. Lee, L.H. & Lee, C. & Bao, J., 2006. "Inventory control in the presence of an electronic marketplace," European Journal of Operational Research, Elsevier, vol. 174(2), pages 797-815, October.
    5. Dong, Chuanwen & Transchel, Sandra, 2020. "A dual sourcing inventory model for modal split transport: Structural properties and optimal solution," European Journal of Operational Research, Elsevier, vol. 283(3), pages 883-900.
    6. Huang, Shuo & Axsäter, Sven & Dou, Yifan & Chen, Jian, 2011. "A real-time decision rule for an inventory system with committed service time and emergency orders," European Journal of Operational Research, Elsevier, vol. 215(1), pages 70-79, November.
    7. Sean X. Zhou & Chaolin Yang, 2016. "Continuous-Review ( R, nQ ) Policies for Inventory Systems with Dual Delivery Modes," Operations Research, INFORMS, vol. 64(6), pages 1302-1319, December.
    8. Chi Chiang & Genaro J. Gutierrez, 1998. "Optimal control policies for a periodic review inventory system with emergency orders," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(2), pages 187-204, March.
    9. Chiang, Chi & Gutierrez, Genaro J., 1996. "A periodic review inventory system with two supply modes," European Journal of Operational Research, Elsevier, vol. 94(3), pages 527-547, November.
    10. Bhatnagar, Rohit & Mehta, Peeyush & Chong Teo, Chee, 2011. "Coordination of planning and scheduling decisions in global supply chains with dual supply modes," International Journal of Production Economics, Elsevier, vol. 131(2), pages 473-482, June.
    11. Chand, Suresh & Li, Jian & Xu, Yanyi, 2016. "A periodic review inventory model with two delivery modes, fractional lead-times, and age-and-period-dependent backlogging costs," International Journal of Production Economics, Elsevier, vol. 173(C), pages 199-206.
    12. Gad Allon & Jan A. Van Mieghem, 2010. "Global Dual Sourcing: Tailored Base-Surge Allocation to Near- and Offshore Production," Management Science, INFORMS, vol. 56(1), pages 110-124, January.
    13. Chaolin Yang & Diyuan Huang & Chenyang Xu, 2022. "Multi-index base-stock policy for inventory systems with multiple capacitated suppliers," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(1), pages 155-177, March.
    14. Xu, Ningxiong, 2008. "Myopic policy for a two-product and multi-period supply contract with different delivery lead times and storage limitation," International Journal of Production Economics, Elsevier, vol. 115(1), pages 179-188, September.
    15. Pérez, Cinthia & Geunes, Joseph, 2014. "A (Q,R) inventory replenishment model with two delivery modes," European Journal of Operational Research, Elsevier, vol. 237(2), pages 528-545.
    16. Jing-Sheng Song & Li Xiao & Hanqin Zhang & Paul Zipkin, 2017. "Optimal Policies for a Dual-Sourcing Inventory Problem with Endogenous Stochastic Lead Times," Operations Research, INFORMS, vol. 65(2), pages 379-395, April.
    17. Gallego, Guillermo & Jin, Yue & Muriel, Ana & Zhang, Ge & Yildiz, V. Taylan, 2007. "Optimal ordering policies with convertible lead times," European Journal of Operational Research, Elsevier, vol. 176(2), pages 892-910, January.
    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. Tomoaki Yamazaki & Keisuke Shida & Takashi Kanazawa, 2016. "An approach to establishing a method for calculating inventory," International Journal of Production Research, Taylor & Francis Journals, vol. 54(8), pages 2320-2331, April.
    20. Chiang, Chi, 2003. "Optimal replenishment for a periodic review inventory system with two supply modes," European Journal of Operational Research, Elsevier, vol. 149(1), pages 229-244, 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:47:y:2001:i:3:p:415-429. 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.