IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v156y2014icp332-345.html
   My bibliography  Save this article

An operational policy for a three-stage distributive supply chain system with retailers’ backorders

Author

Listed:
  • Sarker, Bhaba R.
  • Rochanaluk, Ratkrit
  • Yi, Huizhi
  • Egbelu, Pius J.

Abstract

This research deals with a production-inventory problem consisting of three-stage tree-type single-producer multi-distributor and multi-retailer supply chain network where a model has been developed for achieving the lowest total cost for operating a supply chain system with allowable shortage. In this research, the shortage is assumed to occur in a form of backorder. The refrigerator manufacturing can suitably be used to illustrate the scenario which makes the situation more rational and realistic. By assumptions, the customers will not go somewhere else, the cost of lost sale is not included in this case. The total cost of this tree-type distributive supply chain system is comprised of setup costs and holding costs at all echelons, and the backorder cost at retailer level only. A replenishment policy is sought to operate the system at a minimum cost. The problem is formulated as an unconstrained mixed-integer programming problem and a newly developed doubly hybrid meta-heuristic algorithm is adopted as the solution procedure. The solutions which determine the desired replenishment policy for the producer, distributors, and retailers are obtained to minimize the total system cost. A sensitivity analysis is performed to evaluate the outcome of the proposed solution procedure presented in this research. Numerical results are generated to demonstrate the solution procedure, and future research is indicated for further study.

Suggested Citation

  • Sarker, Bhaba R. & Rochanaluk, Ratkrit & Yi, Huizhi & Egbelu, Pius J., 2014. "An operational policy for a three-stage distributive supply chain system with retailers’ backorders," International Journal of Production Economics, Elsevier, vol. 156(C), pages 332-345.
    • Handle: RePEc:eee:proeco:v:156:y:2014:i:c:p:332-345
    DOI: 10.1016/j.ijpe.2014.07.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527314002242
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ijpe.2014.07.007?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. Glock, Christoph H., 2012. "Coordination of a production network with a single buyer and multiple vendors," International Journal of Production Economics, Elsevier, vol. 135(2), pages 771-780.
    2. Lu, Lu, 1995. "A one-vendor multi-buyer integrated inventory model," European Journal of Operational Research, Elsevier, vol. 81(2), pages 312-323, March.
    3. Sajadieh, Mohsen S. & Thorstenson, Anders & Jokar, Mohammad R. Akbari, 2010. "An integrated vendor-buyer model with stock-dependent demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(6), pages 963-974, November.
    4. Grubbstrom, Robert W. & Erdem, Asli, 1999. "The EOQ with backlogging derived without derivatives," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 529-530, March.
    5. Sarker, Bhaba R., 2014. "Consignment stocking policy models for supply chain systems: A critical review and comparative perspectives," International Journal of Production Economics, Elsevier, vol. 155(C), pages 52-67.
    6. Hariga, Moncer & Hassini, Elkafi & Ben-Daya, Mohamed, 2014. "A note on generalized single-vendor multi-buyer integrated inventory supply chain models with better synchronization," International Journal of Production Economics, Elsevier, vol. 154(C), pages 313-316.
    7. Glock, C. H. & Kim, T., 2012. "A joint economic lot sizemodel with returnable transport items," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 59079, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    8. Glock, C. H., 2012. "Coordination of a production network with a single buyer and multiple vendors," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57812, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    9. Wee, H. M. & Yang, P. C., 2004. "The optimal and heuristic solutions of a distribution network," European Journal of Operational Research, Elsevier, vol. 158(3), pages 626-632, November.
    10. Goyal, S. K., 1995. "A one-vendor multi-buyer integrated inventory model: A comment," European Journal of Operational Research, Elsevier, vol. 82(1), pages 209-210, April.
    11. Glock, C. H., 2012. "The joint economic lot size problem: a review," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57811, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    12. Khouja, Moutaz, 2003. "Optimizing inventory decisions in a multi-stage multi-customer supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 39(3), pages 193-208, May.
    13. Cardenas-Barron, Leopoldo Eduardo, 2001. "The economic production quantity (EPQ) with shortage derived algebraically," International Journal of Production Economics, Elsevier, vol. 70(3), pages 289-292, April.
    14. Hoque, M.A., 2011. "Generalized single-vendor multi-buyer integrated inventory supply chain models with a better synchronization," International Journal of Production Economics, Elsevier, vol. 131(2), pages 463-472, June.
    15. Zhou, Yong-Wu & Wang, Sheng-Dong, 2007. "Optimal production and shipment models for a single-vendor-single-buyer integrated system," European Journal of Operational Research, Elsevier, vol. 180(1), pages 309-328, July.
    16. Glock, Christoph H., 2012. "The joint economic lot size problem: A review," International Journal of Production Economics, Elsevier, vol. 135(2), pages 671-686.
    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. Chan, Chi Kin & Fang, Fei & Langevin, André, 2018. "Single-vendor multi-buyer supply chain coordination with stochastic demand," International Journal of Production Economics, Elsevier, vol. 206(C), pages 110-133.

    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. Beck, Fabian G. & Glock, Christoph H. & Kim, Taebok, 2017. "Coordination of a production network with a single buyer and multiple vendors with geometrically increasing batch shipments," International Journal of Production Economics, Elsevier, vol. 193(C), pages 633-646.
    2. Sajadieh, Mohsen S. & Larsen, Christian, 2015. "A coordinated manufacturer-retailer model under stochastic demand and production rate," International Journal of Production Economics, Elsevier, vol. 168(C), pages 64-70.
    3. Lee, W. & Wang, S.-P. & Chen, W.-C., 2017. "Forward and backward stocking policies for a two-level supply chain with consignment stock agreement and stock-dependent demand," European Journal of Operational Research, Elsevier, vol. 256(3), pages 830-840.
    4. B.C. Giri & S. Sharma, 2014. "Lot sizing and unequal-sized shipment policy for an integrated production-inventory system," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(5), pages 888-901, May.
    5. Tarhini, Hussein & Karam, Mario & Jaber, Mohamad Y., 2020. "An integrated single-vendor multi-buyer production inventory model with transshipments between buyers," International Journal of Production Economics, Elsevier, vol. 225(C).
    6. Herbon, Avi, 2020. "An approximated solution to the constrained integrated manufacturer-buyer supply problem," Operations Research Perspectives, Elsevier, vol. 7(C).
    7. Hwang, Juhwen & Wan, Yat-wah, 2013. "A supplier–retailer supply chain with intermediate storage for batch ordering," International Journal of Production Economics, Elsevier, vol. 142(2), pages 343-352.
    8. Dhahri, Akrem & Gharbi, Ali & Ouhimmou, Mustapha, 2022. "Integrated production-delivery control policy for an unreliable manufacturing system and multiple retailers," International Journal of Production Economics, Elsevier, vol. 245(C).
    9. Asif Iqbal Malik & Biswajit Sarkar, 2020. "Coordination Supply Chain Management Under Flexible Manufacturing, Stochastic Leadtime Demand, and Mixture of Inventory," Mathematics, MDPI, vol. 8(6), pages 1-32, June.
    10. Sebatjane, Makoena & Adetunji, Olufemi, 2020. "A three-echelon supply chain for economic growing quantity model with price- and freshness-dependent demand: Pricing, ordering and shipment decisions," Operations Research Perspectives, Elsevier, vol. 7(C).
    11. K. F. Mary Latha & M. Ganesh Kumar & R. Uthayakumar, 2021. "Two echelon economic lot sizing problems with geometric shipment policy backorder price discount and optimal investment to reduce ordering cost," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 1133-1163, December.
    12. Beatriz Abdul-Jalbar & Roberto Dorta-Guerra & José M. Gutiérrez & Joaquín Sicilia, 2021. "Production/Inventory Policies for a Two-Echelon System with Credit Period Incentives," Mathematics, MDPI, vol. 9(15), pages 1-25, July.
    13. Glock, Christoph H., 2012. "The joint economic lot size problem: A review," International Journal of Production Economics, Elsevier, vol. 135(2), pages 671-686.
    14. Sajadieh, Mohsen S. & Fallahnezhad, Mohammad Saber & Khosravi, Maryam, 2013. "A joint optimal policy for a multiple-suppliers multiple-manufacturers multiple-retailers system," International Journal of Production Economics, Elsevier, vol. 146(2), pages 738-744.
    15. Jonas C.P. Yu & Kung-Jeng Wang & Yu-Siang Lin, 2016. "Managing dual warehouses with an incentive policy for deteriorating items," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(3), pages 586-602, February.
    16. Chan, Chi Kin & Fang, Fei & Langevin, André, 2018. "Single-vendor multi-buyer supply chain coordination with stochastic demand," International Journal of Production Economics, Elsevier, vol. 206(C), pages 110-133.
    17. Chung, Chun Jen & Wee, Hui Ming, 2007. "Optimizing the economic lot size of a three-stage supply chain with backordering derived without derivatives," European Journal of Operational Research, Elsevier, vol. 183(2), pages 933-943, December.
    18. Lee, Shine-Der & Fu, Yen-Chen, 2014. "Joint production and delivery lot sizing for a make-to-order producer–buyer supply chain with transportation cost," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 66(C), pages 23-35.
    19. AlDurgam, Mohammad & Adegbola, Kehinde & Glock, Christoph H., 2017. "A single-vendor single-manufacturer integrated inventory model with stochastic demand and variable production rate," International Journal of Production Economics, Elsevier, vol. 191(C), pages 335-350.
    20. Abdul-Jalbar, Beatriz & Gutierrez, Jose M. & Sicilia, Joaquin, 2007. "An integrated inventory model for the single-vendor two-buyer problem," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 246-258, July.

    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:156:y:2014:i:c:p:332-345. 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.