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Comments on the EOQ model for deteriorating items with conditional trade credit linked to order quantity in the supply chain management

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  • Ting, Pin-Shou

Abstract

Ouyang et al. (2009) consider an economic order quantity (EOQ) model for deteriorating items with a partially permissible delay in payments linked to order quantity. Basically, their inventory model is practical, but there are some defects from the logical viewpoints of mathematics. In this paper, the functional behaviors of the annual total relevant costs are explored by rigorous methods of mathematics. A complete solution procedure is also developed to make up for the shortcomings of Ouyang et al. (2009). In numerical examples, it is proved that the new solution procedure could avoid making wrong decisions and causing cost penalties.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:246:y:2015:i:1:p:108-118
    DOI: 10.1016/j.ejor.2015.04.046
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    References listed on IDEAS

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    1. Chih-Te Yang, 2010. "The optimal order and payment policies for deteriorating items in discount cash flows analysis under the alternatives of conditionally permissible delay in payments and cash discount," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 18(2), pages 429-443, December.
    2. 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.
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    6. Ouyang, Liang-Yuh & Teng, Jinn-Tsair & Goyal, Suresh Kumar & Yang, Chih-Te, 2009. "An economic order quantity model for deteriorating items with partially permissible delay in payments linked to order quantity," European Journal of Operational Research, Elsevier, vol. 194(2), pages 418-431, April.
    7. 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.
    8. 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.
    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.
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    Cited by:

    1. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    2. R. Sundara rajan & R. Uthayakumar, 2017. "Comprehensive solution procedure for optimizing replenishment policies of instantaneous deteriorating items with stock-dependent demand under partial trade credit linked to order quantity," 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(2), pages 1343-1373, November.
    3. Yong-Wu Zhou & Bin Cao & Yuanguang Zhong & Yongzhong Wu, 2017. "Optimal advertising/ordering policy and finance mode selection for a capital-constrained retailer with stochastic demand," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(12), pages 1620-1632, December.
    4. Chandan Mahato & Gour Chandra Mahata, 2023. "Sustainable partial backordering inventory model under linked-to-order credit policy and all-units discount with capacity constraint and carbon emissions," Flexible Services and Manufacturing Journal, Springer, vol. 35(3), pages 896-944, September.
    5. Tiwari, Sunil & Cárdenas-Barrón, Leopoldo Eduardo & Goh, Mark & Shaikh, Ali Akbar, 2018. "Joint pricing and inventory model for deteriorating items with expiration dates and partial backlogging under two-level partial trade credits in supply chain," International Journal of Production Economics, Elsevier, vol. 200(C), pages 16-36.
    6. Kun-Jen Chung & Jui-Jung Liao & Hari Mohan Srivastava & Shih-Fang Lee & Shy-Der Lin, 2021. "The EOQ Model for Deteriorating Items with a Conditional Trade Credit Linked to Order Quantity in a Supply Chain System," Mathematics, MDPI, vol. 9(18), pages 1-28, September.
    7. Ata Allah Taleizadeh & Sara Tavassoli & Arijit Bhattacharya, 2020. "Inventory ordering policies for mixed sale of products under inspection policy, multiple prepayment, partial trade credit, payments linked to order quantity and full backordering," Annals of Operations Research, Springer, vol. 287(1), pages 403-437, April.

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