IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v131y2011i1p372-382.html
   My bibliography  Save this article

Non-cooperative strategies for production and shipment lot sizing in one vendor-multi-buyer system

Author

Listed:
  • Bylka, StanisLaw

Abstract

The supply chain structure examined in this paper consists of a single vendor (or manufacturer) with multiple heterogeneous buyers (or retailers). A continuous deterministic model is presented. To satisfy buyers demands, the vendor will deliver the product in JIT shipments to each buyer. The production rate is constant and sufficient to meet the buyers' demands. The product is shipped in discrete batches from the vendor's stock to buyers' stocks and all shipments are realized instantaneously. Special production-replenishment policies of the vendor and the buyers are analyzed. That is, the production batch is transferred to each buyer in several sub-batches in each production distribution cycle (PDC). This paper offers game model without prices, where agents minimize individual costs. It is a non-cooperative (1+N)-person game model with agents (a single vendor and N-buyers) choosing numbers and sizes of transferred batches. The model describes inventory patterns and cost structure of PDC. It is proved that there exist Nash equilibria in several types of sub-games of the considered game.

Suggested Citation

  • Bylka, StanisLaw, 2011. "Non-cooperative strategies for production and shipment lot sizing in one vendor-multi-buyer system," International Journal of Production Economics, Elsevier, vol. 131(1), pages 372-382, May.
    • Handle: RePEc:eee:proeco:v:131:y:2011:i:1:p:372-382
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925-5273(10)00122-2
    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. Bylka, Stanislaw, 2003. "Competitive and cooperative policies for the vendor-buyer system," International Journal of Production Economics, Elsevier, vol. 81(1), pages 533-544, January.
    2. Ertogral, K. & Darwish, M. & Ben-Daya, M., 2007. "Production and shipment lot sizing in a vendor-buyer supply chain with transportation cost," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1592-1606, February.
    3. Chan, Chi Kin & Kingsman, Brian G., 2007. "Coordination in a single-vendor multi-buyer supply chain by synchronizing delivery and production cycles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(2), pages 90-111, March.
    4. David, Israel & Eben-Chaime, Moshe, 2003. "How far should JIT vendor-buyer relationships go?," International Journal of Production Economics, Elsevier, vol. 81(1), pages 361-368, January.
    5. 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.
    6. Jiafu Tang & Kai-Leung Yung & Iko Kaku & Jianbo Yang, 2008. "The scheduling of deliveries in a production-distribution system with multiple buyers," Annals of Operations Research, Springer, vol. 161(1), pages 5-23, July.
    7. Bylka, Stanislaw, 2009. "Non-cooperative strategies for production and shipments lot sizing in the vendor-buyer system," International Journal of Production Economics, Elsevier, vol. 118(1), pages 243-252, March.
    8. Kelle, Peter & Al-khateeb, Faisal & Anders Miller, Pam, 2003. "Partnership and negotiation support by joint optimal ordering/setup policies for JIT," International Journal of Production Economics, Elsevier, vol. 81(1), pages 431-441, January.
    9. Sarmah, S.P. & Acharya, D. & Goyal, S.K., 2006. "Buyer vendor coordination models in supply chain management," European Journal of Operational Research, Elsevier, vol. 175(1), pages 1-15, November.
    10. Siajadi, Hans & Ibrahim, Raafat N. & Lochert, Paul B., 2006. "Joint economic lot size in distribution system with multiple shipment policy," International Journal of Production Economics, Elsevier, vol. 102(2), pages 302-316, August.
    11. Banerjee, Avijit & Burton, Jonathan S., 1994. "Coordinated vs. independent inventory replenishment policies for a vendor and multiple buyers," International Journal of Production Economics, Elsevier, vol. 35(1-3), pages 215-222, June.
    12. 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.
    13. Banerjee, Avijit & Kim, Seung-Lae & Burton, Jonathan, 2007. "Supply chain coordination through effective multi-stage inventory linkages in a JIT environment," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 271-280, July.
    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. Davide Castellano & Mosè Gallo & Liberatina C. Santillo, 2021. "A periodic review policy for a coordinated single vendor-multiple buyers supply chain with controllable lead time and distribution-free approach," 4OR, Springer, vol. 19(3), pages 347-388, September.
    2. 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.
    3. Hezarkhani, Behzad & Slikker, Marco & Van Woensel, Tom, 2018. "Collaborative replenishment in the presence of intermediaries," European Journal of Operational Research, Elsevier, vol. 266(1), pages 135-146.

    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. Stanisław Bylka, 2010. "A Stackelberg game in a production-distribution system with multiple buyers," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 20(2), pages 5-24.
    2. Glock, Christoph H., 2012. "The joint economic lot size problem: A review," International Journal of Production Economics, Elsevier, vol. 135(2), pages 671-686.
    3. Bylka, Stanislaw, 2009. "Non-cooperative strategies for production and shipments lot sizing in the vendor-buyer system," International Journal of Production Economics, Elsevier, vol. 118(1), pages 243-252, March.
    4. David, Israel & Eben-Chaime, Moshe, 2008. "How accurate is the integrated vendor-buyer continuous model?," International Journal of Production Economics, Elsevier, vol. 114(2), pages 805-810, August.
    5. Ben-Daya, M. & Darwish, M. & Ertogral, K., 2008. "The joint economic lot sizing problem: Review and extensions," European Journal of Operational Research, Elsevier, vol. 185(2), pages 726-742, March.
    6. Sarmah, S.P. & Acharya, D. & Goyal, S.K., 2006. "Buyer vendor coordination models in supply chain management," European Journal of Operational Research, Elsevier, vol. 175(1), pages 1-15, November.
    7. Esmaeili, M. & Aryanezhad, Mir-Bahador & Zeephongsekul, P., 2009. "A game theory approach in seller-buyer supply chain," European Journal of Operational Research, Elsevier, vol. 195(2), pages 442-448, June.
    8. Juman, Z.A.M.S. & Hoque, M.A., 2014. "A heuristic solution technique to attain the minimal total cost bounds of transporting a homogeneous product with varying demands and supplies," European Journal of Operational Research, Elsevier, vol. 239(1), pages 146-156.
    9. Esmaeili, M. & Zeephongsekul, P., 2010. "Seller-buyer models of supply chain management with an asymmetric information structure," International Journal of Production Economics, Elsevier, vol. 123(1), pages 146-154, January.
    10. 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.
    11. Fauza, Gusti & Amer, Yousef & Lee, Sang-Heon & Prasetyo, Hari, 2016. "An integrated single-vendor multi-buyer production-inventory policy for food products incorporating quality degradation," International Journal of Production Economics, Elsevier, vol. 182(C), pages 409-417.
    12. Kin Chan, Chi & Lee, Y.C.E. & Goyal, S.K., 2010. "A delayed payment method in co-ordinating a single-vendor multi-buyer supply chain," International Journal of Production Economics, Elsevier, vol. 127(1), pages 95-102, September.
    13. Lee, Y.C.E. & Chan, Chi Kin & Langevin, A. & Lee, H.W.J., 2016. "Integrated inventory-transportation model by synchronizing delivery and production cycles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 91(C), pages 68-89.
    14. Chan, Chi Kin & Lee, Y.C.E., 2012. "A co-ordination model combining incentive scheme and co-ordination policy for a single-vendor–multi-buyer supply chain," International Journal of Production Economics, Elsevier, vol. 135(1), pages 136-143.
    15. Wen-Tsung Ho & Shu-Fang Lai & Yun-Kuei Huang, 2014. "An Optimal Mixed Batch Shipment Policy for Multiple Items in a Single-Supplier Multiple-Retailer Integrated System," Journal of Optimization Theory and Applications, Springer, vol. 160(2), pages 636-658, February.
    16. Kim, Taebok & Hong, Yushin & Chang, Soo Young, 2006. "Joint economic procurement--production-delivery policy for multiple items in a single-manufacturer, multiple-retailer system," International Journal of Production Economics, Elsevier, vol. 103(1), pages 199-208, September.
    17. Muhammad Waqas Iqbal & Muhammad Babar Ramzan & Asif Iqbal Malik, 2022. "Food Preservation within Multi-Echelon Supply Chain Considering Single Setup and Multi-Deliveries of Unequal Lot Size," Sustainability, MDPI, vol. 14(11), pages 1-30, June.
    18. 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.
    19. 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.
    20. Bylka, Stanislaw, 2003. "Competitive and cooperative policies for the vendor-buyer system," International Journal of Production Economics, Elsevier, vol. 81(1), pages 533-544, January.

    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:131:y:2011:i:1:p:372-382. 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.