IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v280y2019i1d10.1007_s10479-019-03310-2.html
   My bibliography  Save this article

Optimal credit term, order quantity and selling price for perishable products when demand depends on selling price, expiration date, and credit period

Author

Listed:
  • Ruihai Li

    (Shanghai Lixin University of Commerce and Finance)

  • Jinn-Tsair Teng

    (The William Paterson University of New Jersey
    Chaoyang University of Technology)

  • Yingfei Zheng

    (Shanghai University of International Business and Economics)

Abstract

The demand for perishable goods (e.g., baked goods, fruits, vegetables, meat, milk, and seafood) is influenced by product freshness which gradually declines over time and can be perceived by its expiration date. Also, selling price is an important factor on demand. Furthermore, most modern companies offer their products on various credit terms to increase sales. However, relatively little attention has been paid to the combined effects of selling price, expiration date and credit term affecting demand. In this paper, a three-echelon supplier-retailer-consumer supply chain for perishable goods is explored in which the retailer receives an upstream full trade credit from the supplier while granting a downstream partial trade credit to credit-risk customers, with demand as a multiplicative form of selling price, expiration date, and credit period. The proposed model includes numerous previous models as special cases. The optimal credit term, order size and selling price are derived simultaneously for the retailer to achieve maximum profit. Several numerical examples are conducted to gain managerial insights. For example, if the credit efficiency of demand increases, then the retailer shall offer a longer downstream credit period to raise sales volume, which in turn implies the retailer can raise a higher price, order a larger quantity, and gain a higher total profit. Conversely, an increase in portion of cash payment results in a lower demand rate. Hence, the retailer orders less quantity and earns less profit while decreasing price to stimulate sales. Finally, conclusions and future research directions are provided.

Suggested Citation

  • Ruihai Li & Jinn-Tsair Teng & Yingfei Zheng, 2019. "Optimal credit term, order quantity and selling price for perishable products when demand depends on selling price, expiration date, and credit period," Annals of Operations Research, Springer, vol. 280(1), pages 377-405, September.
  • Handle: RePEc:spr:annopr:v:280:y:2019:i:1:d:10.1007_s10479-019-03310-2
    DOI: 10.1007/s10479-019-03310-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-019-03310-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10479-019-03310-2?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. Jiang Wu & Jinn-Tsair Teng & Konstantina Skouri, 2018. "Optimal inventory policies for deteriorating items with trapezoidal-type demand patterns and maximum lifetimes under upstream and downstream trade credits," Annals of Operations Research, Springer, vol. 264(1), pages 459-476, May.
    2. Wang, Wan-Chih & Teng, Jinn-Tsair & Lou, Kuo-Ren, 2014. "Seller’s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime," European Journal of Operational Research, Elsevier, vol. 232(2), pages 315-321.
    3. 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.
    4. Chandra K. Jaggi & Mamta Gupta & Amrina Kausar & Sunil Tiwari, 2019. "Inventory and credit decisions for deteriorating items with displayed stock dependent demand in two-echelon supply chain using Stackelberg and Nash equilibrium solution," Annals of Operations Research, Springer, vol. 274(1), pages 309-329, March.
    5. 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.
    6. 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.
    7. Sarkar, Biswajit & Sarkar, Sumon, 2013. "An improved inventory model with partial backlogging, time varying deterioration and stock-dependent demand," Economic Modelling, Elsevier, vol. 30(C), pages 924-932.
    8. Jinn-Tsair Teng & Kuo-Ren Lou, 2012. "Seller’s optimal credit period and replenishment time in a supply chain with up-stream and down-stream trade credits," Journal of Global Optimization, Springer, vol. 53(3), pages 417-430, July.
    9. 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.
    10. Shayan Tavakoli & Ata Allah Taleizadeh, 2017. "An EOQ model for decaying item with full advanced payment and conditional discount," Annals of Operations Research, Springer, vol. 259(1), pages 415-436, December.
    11. Dobson, Gregory & Pinker, Edieal J. & Yildiz, Ozlem, 2017. "An EOQ model for perishable goods with age-dependent demand rate," European Journal of Operational Research, Elsevier, vol. 257(1), pages 84-88.
    12. Alberto Cambini & Laura Martein, 2009. "Generalized Convexity and Optimization," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-70876-6, December.
    13. Dye, Chung-Yuan & Yang, Chih-Te & Kung, Fang-Cheng, 2014. "A note on “Seller’s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime”," European Journal of Operational Research, Elsevier, vol. 239(3), pages 868-871.
    14. Ouyang, Liang-Yuh & Chang, Chun-Tao, 2013. "Optimal production lot with imperfect production process under permissible delay in payments and complete backlogging," International Journal of Production Economics, Elsevier, vol. 144(2), pages 610-617.
    15. Pahl, Julia & Voß, Stefan, 2014. "Integrating deterioration and lifetime constraints in production and supply chain planning: A survey," European Journal of Operational Research, Elsevier, vol. 238(3), pages 654-674.
    16. Wu, Jiang & Al-khateeb, Faisal B. & Teng, Jinn-Tsair & Cárdenas-Barrón, Leopoldo Eduardo, 2016. "Inventory models for deteriorating items with maximum lifetime under downstream partial trade credits to credit-risk customers by discounted cash-flow analysis," International Journal of Production Economics, Elsevier, vol. 171(P1), pages 105-115.
    17. Li, Ruihai & Skouri, Konstantina & Teng, Jinn-Tsair & Yang, Wen-Goang, 2018. "Seller's optimal replenishment policy and payment term among advance, cash, and credit payments," International Journal of Production Economics, Elsevier, vol. 197(C), pages 35-42.
    18. Chen, Sheng-Chih & Teng, Jinn-Tsair, 2015. "Inventory and credit decisions for time-varying deteriorating items with up-stream and down-stream trade credit financing by discounted cash flow analysis," European Journal of Operational Research, Elsevier, vol. 243(2), pages 566-575.
    19. Sunil Tiwari & Chandra K. Jaggi & Asoke Kumar Bhunia & Ali Akbar Shaikh & Mark Goh, 2017. "Two-warehouse inventory model for non-instantaneous deteriorating items with stock-dependent demand and inflation using particle swarm optimization," Annals of Operations Research, Springer, vol. 254(1), pages 401-423, July.
    20. Li, Ruihai & Teng, Jinn-Tsair, 2018. "Pricing and lot-sizing decisions for perishable goods when demand depends on selling price, reference price, product freshness, and displayed stocks," European Journal of Operational Research, Elsevier, vol. 270(3), pages 1099-1108.
    21. Sheng-Chih Chen & Jie Min & Jinn-Tsair Teng & Fuan Li, 2016. "Inventory and shelf-space optimization for fresh produce with expiration date under freshness-and-stock-dependent demand rate," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(6), pages 884-896, June.
    22. 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.
    23. Bakker, Monique & Riezebos, Jan & Teunter, Ruud H., 2012. "Review of inventory systems with deterioration since 2001," European Journal of Operational Research, Elsevier, vol. 221(2), pages 275-284.
    24. Li, Ruihai & Liu, YuPing & Teng, Jinn-Tsair & Tsao, Yu-Chung, 2019. "Optimal pricing, lot-sizing and backordering decisions when a seller demands an advance-cash-credit payment scheme," European Journal of Operational Research, Elsevier, vol. 278(1), pages 283-295.
    25. Shib Sana & Suresh Goyal, 2015. "$$(Q,r,L)$$ ( Q , r , L ) model for stochastic demand with lead-time dependent partial backlogging," Annals of Operations Research, Springer, vol. 233(1), pages 401-410, October.
    26. Naoufel Cheikhrouhou & Biswajit Sarkar & Baishakhi Ganguly & Asif Iqbal Malik & Rafael Batista & Young Hae Lee, 2018. "Optimization of sample size and order size in an inventory model with quality inspection and return of defective items," Annals of Operations Research, Springer, vol. 271(2), pages 445-467, December.
    27. Wu, Jiang & Ouyang, Liang-Yuh & Cárdenas-Barrón, Leopoldo Eduardo & Goyal, Suresh Kumar, 2014. "Optimal credit period and lot size for deteriorating items with expiration dates under two-level trade credit financing," European Journal of Operational Research, Elsevier, vol. 237(3), pages 898-908.
    28. Shib Sana, 2015. "An EOQ model for stochastic demand for limited capacity of own warehouse," Annals of Operations Research, Springer, vol. 233(1), pages 383-399, October.
    29. Brojeswar Pal & Shib Sankar Sana & Kripasindhu Chaudhuri, 2014. "Three stage trade credit policy in a three-layer supply chain–a production-inventory model," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(9), pages 1844-1868, September.
    30. Goyal, S. K. & Giri, B. C., 2001. "Recent trends in modeling of deteriorating inventory," European Journal of Operational Research, Elsevier, vol. 134(1), pages 1-16, October.
    31. Editors, 2014. "International Journal of Systems Science," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(12), pages 1-1, December.
    32. Umakanta Mishra & Leopoldo Eduardo Cárdenas-Barrón & Sunil Tiwari & Ali Akbar Shaikh & Gerardo Treviño-Garza, 2017. "An inventory model under price and stock dependent demand for controllable deterioration rate with shortages and preservation technology investment," Annals of Operations Research, Springer, vol. 254(1), pages 165-190, July.
    33. 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.
    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. Feng, Lin & Wang, Wan-Chih & Teng, Jinn-Tsair & Cárdenas-Barrón, Leopoldo Eduardo, 2022. "Pricing and lot-sizing decision for fresh goods when demand depends on unit price, displaying stocks and product age under generalized payments," European Journal of Operational Research, Elsevier, vol. 296(3), pages 940-952.
    2. Mukunda Choudhury & Sujit Kumar De & Gour Chandra Mahata, 2023. "A pollution-sensitive multistage production-inventory model for deteriorating items considering expiration date under Stackelberg game approach," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(10), pages 11847-11884, October.
    3. 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).
    4. Song-Man Wu & Felix T. S. Chan & S. H. Chung, 2022. "The influence of positive and negative salvage values on supply chain financing strategies," Annals of Operations Research, Springer, vol. 315(1), pages 535-563, August.
    5. Shi, Yan & Zhang, Zhiyong & Chen, Sheng-Chih & Cárdenas-Barrón, Leopoldo Eduardo & Skouri, Konstantina, 2020. "Optimal replenishment decisions for perishable products under cash, advance, and credit payments considering carbon tax regulations," International Journal of Production Economics, Elsevier, vol. 223(C).
    6. Yonit Barron, 2022. "A probabilistic approach to the stochastic fluid cash management balance problem," Annals of Operations Research, Springer, vol. 312(2), pages 607-645, May.
    7. Shi, Yan & Zhang, Zhiyong & Tiwari, Sunil & Yang, Lei, 2023. "Pricing and replenishment strategy for a perishable product under various payment schemes and cap-and-trade regulation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 174(C).
    8. Li, Ruihai & Yang, Hui-Ling & Shi, Yan & Teng, Jinn-Tsair & Lai, Kuei-Kuei, 2021. "EOQ-based pricing and customer credit decisions under general supplier payments," European Journal of Operational Research, Elsevier, vol. 289(2), pages 652-665.
    9. Wu, Chengfeng & Liu, Xin & Li, Annan, 2021. "A loss-averse retailer–supplier supply chain model under trade credit in a supplier-Stackelberg game," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 353-365.
    10. Mei-Chuan Cheng & Hui-Chiung Lo & Chih-Te Yang, 2023. "Optimizing Pricing, Pre-Sale Incentive, and Inventory Decisions with Advance Sales and Trade Credit under Carbon Tax Policy," Mathematics, MDPI, vol. 11(11), pages 1-18, May.

    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. Ruihai Li & Jinn-Tsair Teng & Chun-Tao Chang, 2021. "Lot-sizing and pricing decisions for perishable products under three-echelon supply chains when demand depends on price and stock-age," Annals of Operations Research, Springer, vol. 307(1), pages 303-328, December.
    2. Li, Ruihai & Chan, Ya-Lan & Chang, Chun-Tao & Cárdenas-Barrón, Leopoldo Eduardo, 2017. "Pricing and lot-sizing policies for perishable products with advance-cash-credit payments by a discounted cash-flow analysis," International Journal of Production Economics, Elsevier, vol. 193(C), pages 578-589.
    3. 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.
    4. Mamta Gupta & Sunil Tiwari & Chandra K. Jaggi, 2020. "Retailer’s ordering policies for time-varying deteriorating items with partial backlogging and permissible delay in payments in a two-warehouse environment," Annals of Operations Research, Springer, vol. 295(1), pages 139-161, December.
    5. Chang, Chun-Tao & Ouyang, Liang-Yuh & Teng, Jinn-Tsair & Lai, Kuei-Kuei & Cárdenas-Barrón, Leopoldo Eduardo, 2019. "Manufacturer's pricing and lot-sizing decisions for perishable goods under various payment terms by a discounted cash flow analysis," International Journal of Production Economics, Elsevier, vol. 218(C), pages 83-95.
    6. Lin Feng & Konstantina Skouri & Wan-Chih Wang & Jinn-Tsair Teng, 2022. "Optimal selling price, replenishment cycle and payment time among advance, cash, and credit payments from the seller’s perspective," Annals of Operations Research, Springer, vol. 315(2), pages 791-812, August.
    7. Jiang Wu & Jinn-Tsair Teng & Konstantina Skouri, 2018. "Optimal inventory policies for deteriorating items with trapezoidal-type demand patterns and maximum lifetimes under upstream and downstream trade credits," Annals of Operations Research, Springer, vol. 264(1), pages 459-476, May.
    8. Wu, Jiang & Chang, Chun-Tao & Teng, Jinn-Tsair & Lai, Kuei-Kuei, 2017. "Optimal order quantity and selling price over a product life cycle with deterioration rate linked to expiration date," International Journal of Production Economics, Elsevier, vol. 193(C), pages 343-351.
    9. Wu, Jiang & Ouyang, Liang-Yuh & Cárdenas-Barrón, Leopoldo Eduardo & Goyal, Suresh Kumar, 2014. "Optimal credit period and lot size for deteriorating items with expiration dates under two-level trade credit financing," European Journal of Operational Research, Elsevier, vol. 237(3), pages 898-908.
    10. Wu, Jiang & Al-khateeb, Faisal B. & Teng, Jinn-Tsair & Cárdenas-Barrón, Leopoldo Eduardo, 2016. "Inventory models for deteriorating items with maximum lifetime under downstream partial trade credits to credit-risk customers by discounted cash-flow analysis," International Journal of Production Economics, Elsevier, vol. 171(P1), pages 105-115.
    11. Chen, Sheng-Chih & Teng, Jinn-Tsair, 2015. "Inventory and credit decisions for time-varying deteriorating items with up-stream and down-stream trade credit financing by discounted cash flow analysis," European Journal of Operational Research, Elsevier, vol. 243(2), pages 566-575.
    12. 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.
    13. Li, Ruihai & Yang, Hui-Ling & Shi, Yan & Teng, Jinn-Tsair & Lai, Kuei-Kuei, 2021. "EOQ-based pricing and customer credit decisions under general supplier payments," European Journal of Operational Research, Elsevier, vol. 289(2), pages 652-665.
    14. Chandan Mahato & Gour Chandra Mahata, 2021. "Optimal inventory policies for deteriorating items with expiration date and dynamic demand under two-level trade credit," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 994-1017, December.
    15. 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.
    16. Shi, Yan & Zhang, Zhiyong & Chen, Sheng-Chih & Cárdenas-Barrón, Leopoldo Eduardo & Skouri, Konstantina, 2020. "Optimal replenishment decisions for perishable products under cash, advance, and credit payments considering carbon tax regulations," International Journal of Production Economics, Elsevier, vol. 223(C).
    17. Yue Xie & Allen H. Tai & Wai-Ki Ching & Yong-Hong Kuo & Na Song, 2021. "Joint inspection and inventory control for deteriorating items with time-dependent demand and deteriorating rate," Annals of Operations Research, Springer, vol. 300(1), pages 225-265, May.
    18. Feng, Lin & Wang, Wan-Chih & Teng, Jinn-Tsair & Cárdenas-Barrón, Leopoldo Eduardo, 2022. "Pricing and lot-sizing decision for fresh goods when demand depends on unit price, displaying stocks and product age under generalized payments," European Journal of Operational Research, Elsevier, vol. 296(3), pages 940-952.
    19. 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.
    20. Wu, Jiang & Chan, Ya-Lan, 2014. "Lot-sizing policies for deteriorating items with expiration dates and partial trade credit to credit-risk customers," International Journal of Production Economics, Elsevier, vol. 155(C), pages 292-301.

    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:spr:annopr:v:280:y:2019:i:1:d:10.1007_s10479-019-03310-2. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.