IDEAS home Printed from https://ideas.repec.org/a/iih/journl/v3y2009i2p11-20.html
   My bibliography  Save this article

Optimal Inventory Policies for Weibull Deterioration under Trade Credit in Declining Market

Author

Listed:
  • Nita H. Shah
  • Nidhi Raykundaliya

    (Ahmedabad-380009, Gujarat
    Khadim Ali Shah Bukhari (KASBIT).)

Abstract

The aim of this study is to develop mathematical model for Weibull deterioration of items in inventory in declining market when the supplier offers his retailers a credit period to settle the accounts against the dues. The computational steps are explored for a retailer to determine the optimal purchase units which minimize the total inventory cost per time unit. The numerical examples are given to demonstrate the retailer’s optimal decision. A sensitivity analysis is carried out to study the variations in the optimal solution.

Suggested Citation

  • 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.
    • Handle: RePEc:iih:journl:v:3:y:2009:i:2:p:11-20
    as

    Download full text from publisher

    File URL: http://indus.edu.pk/RePEc/iih/journl/11-20_Optimal_Inventory.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Abad, P. L. & Jaggi, C. K., 2003. "A joint approach for setting unit price and the length of the credit period for a seller when end demand is price sensitive," International Journal of Production Economics, Elsevier, vol. 83(2), pages 115-122, February.
    2. 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.
    3. 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.
    4. Nita H. Shah, 2004. "Probabilistic Order Level System When Items In Inventory Deteriorate And Delay In Payments Is Permissible," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 21(03), pages 319-331.
    5. Salameh, M. K. & Abboud, N. E. & El-Kassar, A. N. & Ghattas, R. E., 2003. "Continuous review inventory model with delay in payments," International Journal of Production Economics, Elsevier, vol. 85(1), pages 91-95, July.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    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. Liao, Hung-Chang & Tsai, Chih-Hung & Su, Chao-Ton, 2000. "An inventory model with deteriorating items under inflation when a delay in payment is permissible," International Journal of Production Economics, Elsevier, vol. 63(2), pages 207-214, January.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Musa, Abubakar & Sani, Babangida, 2012. "Inventory ordering policies of delayed deteriorating items under permissible delay in payments," International Journal of Production Economics, Elsevier, vol. 136(1), pages 75-83.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. Debasis Das & Arindam Roy & Samarjit Kar, 2015. "A multi-warehouse partial backlogging inventory model for deteriorating items under inflation when a delay in payment is permissible," Annals of Operations Research, Springer, vol. 226(1), pages 133-162, March.
    15. 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.
    16. 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.
    17. D J Robb & E A Silver, 2006. "Inventory management under date-terms supplier trade credit with stochastic demand and leadtime," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(6), pages 692-702, June.
    18. 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.
    19. 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.
    20. L-Y Ouyang & C-T Chang & J-T Teng, 2005. "An EOQ model for deteriorating items under trade credits," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(6), pages 719-726, June.

    More about this item

    Keywords

    Weibull deterioration; trade credit; declining market;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

    Statistics

    Access and download statistics

    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:iih:journl:v:3:y:2009:i:2:p:11-20. 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: Faraz Ahmed (email available below). General contact details of provider: https://edirc.repec.org/data/fbihpkk.html .

    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.