IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v213y2011i1p156-165.html
   My bibliography  Save this article

The simplified solution algorithm for an integrated supplier-buyer inventory model with two-part trade credit in a supply chain system

Author

Listed:
  • Chung, Kun-Jen
  • Liao, Jui-Jung

Abstract

Ho et al. [Ho, C.H., Ouyang, L.Y., Su, C.H., 2008. Optimal pricing, shipment and payment policy for an integrated supplier-buyer inventory model with two-part trade credit, European Journal of Operational Research 187, 496-510] discussed the integrated inventory model with two-part trade credit and presented an algorithm to solve it. Basically, Ho et al.'s inventory model is correct and interesting. However, this paper indicates that the solution algorithm described in Ho et al. (2008) can be simplified further. So, this paper can not only derive the optimally closed-form formulations for the optimal numbers of shipments but also develop different algorithms to improve those in Ho et al. (2008). Numerical examples illustrate that the algorithm to locate the optimal solution is rather accurate and rapid.

Suggested Citation

  • Chung, Kun-Jen & Liao, Jui-Jung, 2011. "The simplified solution algorithm for an integrated supplier-buyer inventory model with two-part trade credit in a supply chain system," European Journal of Operational Research, Elsevier, vol. 213(1), pages 156-165, August.
  • Handle: RePEc:eee:ejores:v:213:y:2011:i:1:p:156-165
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(11)00229-3
    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. Sana, Shib Sankar & Chaudhuri, K.S., 2008. "A deterministic EOQ model with delays in payments and price-discount offers," European Journal of Operational Research, Elsevier, vol. 184(2), pages 509-533, January.
    2. Chung, Kun-Jen & Huang, Yung-Fu, 2003. "The optimal cycle time for EPQ inventory model under permissible delay in payments," International Journal of Production Economics, Elsevier, vol. 84(3), pages 307-318, June.
    3. J-T Teng, 2002. "On the economic order quantity under conditions of permissible delay in payments," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(8), pages 915-918, August.
    4. Stokes, Jeffrey R., 2005. "Dynamic cash discounts when sales volume is stochastic," The Quarterly Review of Economics and Finance, Elsevier, vol. 45(1), pages 144-160, February.
    5. Teng, Jinn-Tsair & Chang, Chun-Tao & Goyal, Suresh Kumar, 2005. "Optimal pricing and ordering policy under permissible delay in payments," International Journal of Production Economics, Elsevier, vol. 97(2), pages 121-129, August.
    6. Chung, Kun-Jen & Liao, Jui-Jung, 2006. "The optimal ordering policy in a DCF analysis for deteriorating items when trade credit depends on the order quantity," International Journal of Production Economics, Elsevier, vol. 100(1), pages 116-130, March.
    7. Chung, Kun-Jen & Goyal, Suresh Kumar & Huang, Yung-Fu, 2005. "The optimal inventory policies under permissible delay in payments depending on the ordering quantity," International Journal of Production Economics, Elsevier, vol. 95(2), pages 203-213, February.
    8. Ho, Chia-Huei & Ouyang, Liang-Yuh & Su, Chia-Hsien, 2008. "Optimal pricing, shipment and payment policy for an integrated supplier-buyer inventory model with two-part trade credit," European Journal of Operational Research, Elsevier, vol. 187(2), pages 496-510, June.
    9. Huang, Yung-Fu, 2007. "Economic order quantity under conditionally permissible delay in payments," European Journal of Operational Research, Elsevier, vol. 176(2), pages 911-924, January.
    10. Ouyang, Liang-Yuh & Teng, Jinn-Tsair & Chuang, Kai-Wayne & Chuang, Bor-Ren, 2005. "Optimal inventory policy with noninstantaneous receipt under trade credit," International Journal of Production Economics, Elsevier, vol. 98(3), pages 290-300, December.
    11. Ouyang, Liang-Yuh & Ho, Chia-Huei & Su, Chia-Hsien, 2008. "Optimal strategy for an integrated system with variable production rate when the freight rate and trade credit are both linked to the order quantity," International Journal of Production Economics, Elsevier, vol. 115(1), pages 151-162, September.
    12. Chun-Tao Chang & Jinn-Tsair Teng, 2004. "Retailer’s optimal ordering policy under supplier credits," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 60(3), pages 471-483, December.
    13. Arcelus, F. J. & Shah, Nita H. & Srinivasan, G., 2001. "Retailer's response to special sales: price discount vs. trade credit," Omega, Elsevier, vol. 29(5), pages 417-428, 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. Liang-Yuh Ouyang & Cheng-Ju Chuang & Chia-Huei Ho & Chien-Wei Wu, 2014. "An integrated inventory model with quality improvement and two-part credit policy," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(3), pages 1042-1061, October.
    2. Zhou, Yong-Wu & Zhong, Yuanguang & Li, Jicai, 2012. "An uncooperative order model for items with trade credit, inventory-dependent demand and limited displayed-shelf space," European Journal of Operational Research, Elsevier, vol. 223(1), pages 76-85.
    3. Liao, Jui-Jung & Chung, Kun-Jen & Huang, Kuo-Nan, 2013. "A deterministic inventory model for deteriorating items with two warehouses and trade credit in a supply chain system," International Journal of Production Economics, Elsevier, vol. 146(2), pages 557-565.
    4. A. Thangam, 2017. "Retailer’s optimal replenishment policy in a two-echelon supply chain under two-part delay in payments and disruption in delivery," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(1), pages 26-46, January.
    5. Juanjuan Qin & Xiaojian Bai & Liangjie Xia, 2015. "Sustainable Trade Credit and Replenishment Policies under the Cap-And-Trade and Carbon Tax Regulations," Sustainability, MDPI, vol. 7(12), pages 1-22, December.
    6. Chandra K. Jaggi & Sunil Tiwari & Satish K. Goel, 2017. "Credit financing in economic ordering policies for non-instantaneous deteriorating items with price dependent demand and two storage facilities," Annals of Operations Research, Springer, vol. 248(1), pages 253-280, January.
    7. Tiwari, Sunil & Cárdenas-Barrón, Leopoldo Eduardo & Khanna, Aditi & Jaggi, Chandra K., 2016. "Impact of trade credit and inflation on retailer's ordering policies for non-instantaneous deteriorating items in a two-warehouse environment," International Journal of Production Economics, Elsevier, vol. 176(C), pages 154-169.

    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. Ho, Chia-Huei & Ouyang, Liang-Yuh & Su, Chia-Hsien, 2008. "Optimal pricing, shipment and payment policy for an integrated supplier-buyer inventory model with two-part trade credit," European Journal of Operational Research, Elsevier, vol. 187(2), pages 496-510, June.
    2. Nita H. Shah & Nidhi Raykundaliya, 2009. "Optimal Inventory Policies for Weibull Deterioration under Trade Credit in Declining Market," Indus Journal of Management & Social Science (IJMSS), Department of Business Administration, vol. 3(2), pages 11-20, December.
    3. Teng, Jinn-Tsair & Min, Jie & Pan, Qinhua, 2012. "Economic order quantity model with trade credit financing for non-decreasing demand," Omega, Elsevier, vol. 40(3), pages 328-335.
    4. Ping Ruan & Yung-Fu Huang & Ming-Wei Weng, 2022. "Impact of COVID-19 on Supply Chains: A Hybrid Trade Credit Policy," Mathematics, MDPI, vol. 10(8), pages 1-22, April.
    5. Seifert, Daniel & Seifert, Ralf W. & Protopappa-Sieke, Margarita, 2013. "A review of trade credit literature: Opportunities for research in operations," European Journal of Operational Research, Elsevier, vol. 231(2), pages 245-256.
    6. 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.
    7. Huang, Yung-Fu & Hsu, Kuang-Hua, 2008. "An EOQ model under retailer partial trade credit policy in supply chain," International Journal of Production Economics, Elsevier, vol. 112(2), pages 655-664, April.
    8. Teng, Jinn-Tsair, 2009. "Optimal ordering policies for a retailer who offers distinct trade credits to its good and bad credit customers," International Journal of Production Economics, Elsevier, vol. 119(2), pages 415-423, June.
    9. Fei Hu & Cheng-Chew Lim & Zudi Lu, 2015. "The retailer’s optimal decision on order quantity and credit periods under two-level trade credit policy," Journal of Global Optimization, Springer, vol. 62(4), pages 833-852, August.
    10. Ramasesh, Ranga V., 2010. "Lot-sizing decisions under limited-time price incentives: A review," Omega, Elsevier, vol. 38(3-4), pages 118-135, June.
    11. Kun-Jen Chung & Jui-Jung Liao & Shy-Der Lin & Sheng-Tu Chuang & Hari Mohan Srivastava, 2019. "The Inventory Model for Deteriorating Items under Conditions Involving Cash Discount and Trade Credit," Mathematics, MDPI, vol. 7(7), pages 1-20, July.
    12. Liao, Jui-Jung, 2008. "An EOQ model with noninstantaneous receipt and exponentially deteriorating items under two-level trade credit," International Journal of Production Economics, Elsevier, vol. 113(2), pages 852-861, June.
    13. Hardik Soni & Nita H. Shah, 2008. "Optimal Ordering and Trade Credit Policy for EOQ Model," Indus Journal of Management & Social Science (IJMSS), Department of Business Administration, vol. 2(1), pages 66-76, June.
    14. Xu, Xinhan & Chen, Xiangfeng & Jia, Fu & Brown, Steve & Gong, Yu & Xu, Yifan, 2018. "Supply chain finance: A systematic literature review and bibliometric analysis," International Journal of Production Economics, Elsevier, vol. 204(C), pages 160-173.
    15. Chen, Liang-Hsuan & Kang, Fu-Sen, 2010. "Integrated inventory models considering the two-level trade credit policy and a price-negotiation scheme," European Journal of Operational Research, Elsevier, vol. 205(1), pages 47-58, August.
    16. Ouyang, Liang-Yuh & Ho, Chia-Huei & Su, Chia-Hsien, 2008. "Optimal strategy for an integrated system with variable production rate when the freight rate and trade credit are both linked to the order quantity," International Journal of Production Economics, Elsevier, vol. 115(1), pages 151-162, September.
    17. A. Thangam, 2017. "Retailer’s optimal replenishment policy in a two-echelon supply chain under two-part delay in payments and disruption in delivery," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(1), pages 26-46, January.
    18. Ting, Pin-Shou, 2015. "Comments on the EOQ model for deteriorating items with conditional trade credit linked to order quantity in the supply chain management," European Journal of Operational Research, Elsevier, vol. 246(1), pages 108-118.
    19. Yu-Chung Tsao, 2015. "A piecewise nonlinear optimization for a production-inventory model under maintenance, variable setup costs, and trade credits," Annals of Operations Research, Springer, vol. 233(1), pages 465-481, October.
    20. Zhang, Qinhong & Dong, Ming & Luo, Jianwen & Segerstedt, Anders, 2014. "Supply chain coordination with trade credit and quantity discount incorporating default risk," International Journal of Production Economics, Elsevier, vol. 153(C), pages 352-360.

    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:213:y:2011:i:1:p:156-165. 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.