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An inventory model with non-instantaneous receipt and exponentially deteriorating items for an integrated three layer supply chain system under two levels of trade credit

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  • Chung, Kun-Jen
  • Eduardo Cárdenas-Barrón, Leopoldo
  • Ting, Pin-Shou

Abstract

Recently, the enterprises, from a financial perspective, have been seeing that need of the integrating with others with trade credit policies as a promising issue for savings in the supply chain. In this direction, this paper establishes a new economic production quantity (EPQ) inventory model for deteriorating items under two levels of trade credit, in which the supplier offers to the retailer a permissible delay period and simultaneously the retailer in turn provides a maximal trade credit period to its customers in a supply chain system comprised of three stages. The purpose of this paper is to determine the optimal replenishment policy so that the total relevant cost is minimized. It is shown that this new EPQ inventory model forms a general framework that contains several inventory models that appear in some previous published articles.

Suggested Citation

  • Chung, Kun-Jen & Eduardo Cárdenas-Barrón, Leopoldo & Ting, Pin-Shou, 2014. "An inventory model with non-instantaneous receipt and exponentially deteriorating items for an integrated three layer supply chain system under two levels of trade credit," International Journal of Production Economics, Elsevier, vol. 155(C), pages 310-317.
  • Handle: RePEc:eee:proeco:v:155:y:2014:i:c:p:310-317
    DOI: 10.1016/j.ijpe.2013.12.033
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    1. Jaggi, Chandra K. & Goyal, S.K. & Goel, S.K., 2008. "Retailer's optimal replenishment decisions with credit-linked demand under permissible delay in payments," European Journal of Operational Research, Elsevier, vol. 190(1), pages 130-135, October.
    2. 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.
    3. Teng, Jinn-Tsair & Chang, Chun-Tao, 2009. "Optimal manufacturer's replenishment policies in the EPQ model under two levels of trade credit policy," European Journal of Operational Research, Elsevier, vol. 195(2), pages 358-363, June.
    4. 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.
    5. Huang, Yung-Fu, 2007. "Optimal retailer's replenishment decisions in the EPQ model under two levels of trade credit policy," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1577-1591, February.
    6. Liao, Jui-Jung & Huang, Kuo-Nan & Chung, Kun-Jen, 2012. "Lot-sizing decisions for deteriorating items with two warehouses under an order-size-dependent trade credit," International Journal of Production Economics, Elsevier, vol. 137(1), pages 102-115.
    7. 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.
    8. Kun-Jen Chung, 2013. "The EPQ model under conditions of two levels of trade credit and limited storage capacity in supply chain management," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(9), pages 1675-1691.
    9. Chung, Kun-Jen, 2008. "Comments on the EOQ model under retailer partial trade credit policy in the supply chain," International Journal of Production Economics, Elsevier, vol. 114(1), pages 308-312, July.
    10. Chun-Tao Chang & Jinn-Tsair Teng & Suresh Kumar Goyal, 2008. "Inventory Lot-Size Models Under Trade Credits: A Review," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(01), pages 89-112.
    11. Soni, Hardik & Shah, Nita H., 2008. "Optimal ordering policy for stock-dependent demand under progressive payment scheme," European Journal of Operational Research, Elsevier, vol. 184(1), pages 91-100, January.
    12. Arcelus, F. J. & Shah, Nita H. & Srinivasan, G., 2003. "Retailer's pricing, credit and inventory policies for deteriorating items in response to temporary price/credit incentives," International Journal of Production Economics, Elsevier, vol. 81(1), pages 153-162, January.
    13. 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.
    14. Soni, Hardik N, 2013. "Optimal replenishment policies for non-instantaneous deteriorating items with price and stock sensitive demand under permissible delay in payment," International Journal of Production Economics, Elsevier, vol. 146(1), pages 259-268.
    15. Jaggi, C. K. & Aggarwal, S. P., 1994. "Credit financing in economic ordering policies of deteriorating items," International Journal of Production Economics, Elsevier, vol. 34(2), pages 151-155, March.
    16. 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.
    17. J-T Teng & S K Goyal, 2007. "Optimal ordering policies for a retailer in a supply chain with up-stream and down-stream trade credits," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(9), pages 1252-1255, September.
    18. Chung, Kun-Jen & Huang, Tien-Shou, 2007. "The optimal retailer's ordering policies for deteriorating items with limited storage capacity under trade credit financing," International Journal of Production Economics, Elsevier, vol. 106(1), pages 127-145, March.
    19. 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.
    20. 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.
    21. Chang, Chun-Tao & Teng, Jinn-Tsair & Chern, Maw-Sheng, 2010. "Optimal manufacturer's replenishment policies for deteriorating items in a supply chain with up-stream and down-stream trade credits," International Journal of Production Economics, Elsevier, vol. 127(1), pages 197-202, September.
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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. Asoke Kumar Bhunia & Ali Akbar Shaikh, 2016. "Investigation of two-warehouse inventory problems in interval environment under inflation via particle swarm optimization," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 22(2), pages 160-179, March.
    3. 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.
    4. 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.
    5. Hong Cheng & Yingsheng Su & Jinjiang Yan & Xianyu Wang & Mingyang Li, 2019. "The Incentive Model in Supply Chain with Trade Credit and Default Risk," Complexity, Hindawi, vol. 2019, pages 1-11, May.
    6. Biswajit Sarkar & Sharmila Saren & Leopoldo Cárdenas-Barrón, 2015. "An inventory model with trade-credit policy and variable deterioration for fixed lifetime products," Annals of Operations Research, Springer, vol. 229(1), pages 677-702, June.
    7. Dipak Barman & Gour Chandra Mahata & Barun Das, 2021. "Advance payment based vendor–buyer production inventory model with stochastic lead time and continuous review policy," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 1217-1237, December.
    8. 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.
    9. Shah, Nita H. & Cárdenas-Barrón, Leopoldo Eduardo, 2015. "Retailer’s decision for ordering and credit policies for deteriorating items when a supplier offers order-linked credit period or cash discount," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 569-578.
    10. 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.
    11. Yan Shi & Zhiyong Zhang & Sunil Tiwari & Zhiwen Tao, 2022. "Retailer's optimal strategy for a perishable product with increasing demand under various payment schemes," Annals of Operations Research, Springer, vol. 315(2), pages 899-929, August.
    12. Rahal, Imen & Elloumi, Abdelkarim, 2021. "Inventory management of perishable products : a case of melon in Tunisia," MPRA Paper 118028, University Library of Munich, Germany.
    13. 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.
    14. Chung, Kun-Jen & Liao, Jui-Jung & Ting, Pin-Shou & Lin, Shy-Der & Srivastava, H.M., 2015. "The algorithm for the optimal cycle time and pricing decisions for an integrated inventory system with order-size dependent trade credit in supply chain management," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 322-333.
    15. Narayan Singh & Bindu Vaish & Shiv Ray Singh, 2014. "A collaborative strategy for a three echelon supply chain with ramp type demand, deterioration and inflation," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(3), pages 77-100.
    16. Ali Akbar Shaikh & Leopoldo Eduardo Cárdenas-Barrón & Amalesh Kumar Manna & Armando Céspedes-Mota & Gerardo Treviño-Garza, 2021. "Two Level Trade Credit Policy Approach in Inventory Model with Expiration Rate and Stock Dependent Demand under Nonzero Inventory and Partial Backlogged Shortages," Sustainability, MDPI, vol. 13(23), pages 1-19, December.
    17. Reza Maihami & Behrooz Karimi & Seyyed Mohammad Taghi Fatemi Ghomi, 2017. "Effect of two-echelon trade credit on pricing-inventory policy of non-instantaneous deteriorating products with probabilistic demand and deterioration functions," Annals of Operations Research, Springer, vol. 257(1), pages 237-273, October.
    18. Ioannis Mallidis & Dimitrios Vlachos & Volha Yakavenka & Zafeiriou Eleni, 2020. "Development of a single period inventory planning model for perishable product redistribution," Annals of Operations Research, Springer, vol. 294(1), pages 697-713, November.
    19. 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.
    20. Nita Shah, 2015. "Retailer’s replenishment and credit policies for deteriorating inventory under credit period-dependent demand and bad-debt loss," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(1), pages 298-312, April.

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