IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v129y2011i1p1-7.html
   My bibliography  Save this article

Supplier selection and purchase problem with fixed cost and constrained order quantities under stochastic demand

Author

Listed:
  • Zhang, Ju-liang
  • Zhang, Ming-yu

Abstract

This paper addresses a supplier selection and purchase problem under stochastic demand. In particular, a buyer firm (manufacturer or retailer) wants to procure a product from a group of potential suppliers, which may quote different prices and have restriction on minimum and maximum order sizes, to satisfy the uncertain demand. In addition to holding and shortage costs, a fixed cost is incurred for the buyer when a potential supplier is selected. The objective is to select suppliers and to allocate the ordering quantity properly among the selected suppliers to minimize the total cost, including selection, purchase, holding and shortage costs. The problem is modeled as a Mixed Integer Programming (MIP). Properties of the problem are explored and a branch-bound algorithm is proposed for it. Also, a simple algorithm for the subproblem is proposed based on its special structure. Numerical experiments are conducted to evaluate the performance of the algorithm and some managerial insights are obtained.

Suggested Citation

  • Zhang, Ju-liang & Zhang, Ming-yu, 2011. "Supplier selection and purchase problem with fixed cost and constrained order quantities under stochastic demand," International Journal of Production Economics, Elsevier, vol. 129(1), pages 1-7, January.
    • Handle: RePEc:eee:proeco:v:129:y:2011:i:1:p:1-7
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925-5273(10)00291-4
    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. Khouja, Moutaz, 1999. "The single-period (news-vendor) problem: literature review and suggestions for future research," Omega, Elsevier, vol. 27(5), pages 537-553, October.
    2. Vidal, Carlos J. & Goetschalckx, Marc, 1997. "Strategic production-distribution models: A critical review with emphasis on global supply chain models," European Journal of Operational Research, Elsevier, vol. 98(1), pages 1-18, April.
    3. van der Rhee, Bo & Verma, Rohit & Plaschka, Gerhard, 2009. "Understanding trade-offs in the supplier selection process: The role of flexibility, delivery, and value-added services/support," International Journal of Production Economics, Elsevier, vol. 120(1), pages 30-41, July.
    4. Ranga V. Ramasesh & J. Keith Ord & Jack C. Hayya & Andrew Pan, 1991. "Sole Versus Dual Sourcing in Stochastic Lead-Time (s, Q) Inventory Models," Management Science, INFORMS, vol. 37(4), pages 428-443, April.
    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. Burke, Gerard J. & Carrillo, Janice E. & Vakharia, Asoo J., 2007. "Single versus multiple supplier sourcing strategies," European Journal of Operational Research, Elsevier, vol. 182(1), pages 95-112, October.
    7. Nicholas C. Petruzzi & Maqbool Dada, 1999. "Pricing and the Newsvendor Problem: A Review with Extensions," Operations Research, INFORMS, vol. 47(2), pages 183-194, April.
    8. Parlar, Mahmut & Wang, Dan, 1993. "Diversification under yield randomness in inventory models," European Journal of Operational Research, Elsevier, vol. 66(1), pages 52-64, April.
    9. 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.
    10. Louis Eeckhoudt & Christian Gollier & Harris Schlesinger, 1995. "The Risk-Averse (and Prudent) Newsboy," Management Science, INFORMS, vol. 41(5), pages 786-794, May.
    11. Ravi Anupindi & Ram Akella, 1993. "Diversification Under Supply Uncertainty," Management Science, INFORMS, vol. 39(8), pages 944-963, August.
    12. Goossens, D.R. & Maas, A.J.T. & Spieksma, F.C.R. & van de Klundert, J.J., 2007. "Exact algorithms for procurement problems under a total quantity discount structure," European Journal of Operational Research, Elsevier, vol. 178(2), pages 603-626, April.
    13. 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.
    14. Chauhan, Satyaveer Singh & Proth, Jean-Marie, 2003. "The concave cost supply problem," European Journal of Operational Research, Elsevier, vol. 148(2), pages 374-383, July.
    15. 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.
    16. Awasthi, A. & Chauhan, S.S. & Goyal, S.K. & Proth, Jean-Marie, 2009. "Supplier selection problem for a single manufacturing unit under stochastic demand," International Journal of Production Economics, Elsevier, vol. 117(1), pages 229-233, January.
    17. Fong, Duncan K. H. & Gempesaw, Virginia M. & Keith Ord, J., 2000. "Analysis of a dual sourcing inventory model with normal unit demand and Erlang mixture lead times," European Journal of Operational Research, Elsevier, vol. 120(1), pages 97-107, January.
    18. Meir J. Rosenblatt & Yale T. Herer & Ilan Hefter, 1998. "Note. An Acquisition Policy for a Single Item Multi-Supplier System," Management Science, INFORMS, vol. 44(11-Part-2), pages 96-100, November.
    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. 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.
    3. 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.
    4. Manerba, Daniele & Mansini, Renata, 2012. "An exact algorithm for the Capacitated Total Quantity Discount Problem," European Journal of Operational Research, Elsevier, vol. 222(2), pages 287-300.
    5. Mansini, Renata & Savelsbergh, Martin W.P. & Tocchella, Barbara, 2012. "The supplier selection problem with quantity discounts and truckload shipping," Omega, Elsevier, vol. 40(4), pages 445-455.
    6. Bin Zhang & Zekai Lai & Qiangqiang Wang, 2021. "Multi-product dual sourcing problem with limited capacities," Operational Research, Springer, vol. 21(3), pages 2055-2075, September.
    7. Xu, Minghui & Lu, Ye, 2013. "The effect of supply uncertainty in price-setting newsvendor models," European Journal of Operational Research, Elsevier, vol. 227(3), pages 423-433.
    8. Kyungchul Park & Kyungsik Lee, 2016. "Distribution-robust single-period inventory control problem with multiple unreliable suppliers," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(4), pages 949-966, October.
    9. Kartikeya Puranam & David C. Novak & Marilyn Lucas, 2022. "Extending the newsvendor model to account for uncontrolled inventory transfers," Annals of Operations Research, Springer, vol. 317(1), pages 213-226, October.
    10. 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.
    11. Xu, Jianjun & Keblis, Matthew F. & Feng, Youyi & Chang, Yanling, 2017. "Optimal sourcing from a pool of suppliers with nonidentical salvage values," International Journal of Production Economics, Elsevier, vol. 193(C), pages 392-405.
    12. Narendra Agrawal & Steven Nahmias, 1997. "Rationalization Of The Supplier Base In The Presence Of Yield Uncertainty," Production and Operations Management, Production and Operations Management Society, vol. 6(3), pages 291-308, September.
    13. Tang, Christopher S., 2006. "Perspectives in supply chain risk management," International Journal of Production Economics, Elsevier, vol. 103(2), pages 451-488, October.
    14. Hu, Xiangling & Motwani, Jaideep G., 2014. "Minimizing downside risks for global sourcing under price-sensitive stochastic demand, exchange rate uncertainties, and supplier capacity constraints," International Journal of Production Economics, Elsevier, vol. 147(PB), pages 398-409.
    15. Serel, Doğan A., 2017. "A single-period stocking and pricing problem involving stochastic emergency supply," International Journal of Production Economics, Elsevier, vol. 185(C), pages 180-195.
    16. Reimann, Marc, 2011. "Speculative production and anticipative reservation of reactive capacity by a multi-product newsvendor," European Journal of Operational Research, Elsevier, vol. 211(1), pages 35-46, May.
    17. Zhu, Stuart X., 2013. "Dynamic replenishment, production, and pricing decisions, in the face of supply disruption and random price-sensitive demand," International Journal of Production Economics, Elsevier, vol. 146(2), pages 612-619.
    18. Panos Kouvelis & Guang Xiao & Nan Yang, 2021. "Role of Risk Aversion in Price Postponement Under Supply Random Yield," Management Science, INFORMS, vol. 67(8), pages 4826-4844, August.
    19. Brian Tomlin, 2009. "Impact of Supply Learning When Suppliers Are Unreliable," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 192-209, August.
    20. Martinez de Albeniz, Victor, 2007. "Pricing in a duopoly with a lead time advantage," IESE Research Papers D/720, IESE Business School.

    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:129:y:2011:i:1:p:1-7. 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.