IDEAS home Printed from https://ideas.repec.org/a/eco/journ1/2017-04-49.html
   My bibliography  Save this article

Profit Maximizing Probabilistic Inventory Model under Trade Credit

Author

Listed:
  • Sarbjit Singh Oberoi

    (Institute of Management Technology, Nagpur, India)

Abstract

In the classical EOQ models it has been considered that demand is deterministic but in many practical situations it is not possible to have a fixed demand. This study discusses the more realistic overview of demand, as in realistic situation having dependent demand is difficult; it is possible only if you're supplying sub-assembly parts on contract basis. Therefore, this study considers stochastic demand. Here maximum demand is dependent on average yearly demand and prescribed demand function. Thus initial inventory level is taken to be maximum demand derived with the help of demand function and average demand. Demand pattern considered in this model was proposed by Naddor (1966) in his book inventory systems with various realistic factors. The realistic factors considered are selling price is always greater than cost price, permissible delay in payments and even the optimality of profit equation has been checked. This study proves by optimality conditions that the profit maximization equations derived in this model help to maximize profit

Suggested Citation

  • Sarbjit Singh Oberoi, 2017. "Profit Maximizing Probabilistic Inventory Model under Trade Credit," International Journal of Economics and Financial Issues, Econjournals, vol. 7(4), pages 408-410.
  • Handle: RePEc:eco:journ1:2017-04-49
    as

    Download full text from publisher

    File URL: https://www.econjournals.com/index.php/ijefi/article/download/4929/pdf
    Download Restriction: no

    File URL: https://www.econjournals.com/index.php/ijefi/article/view/4929/pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Goyal, Suresh Kumar & Teng, Jinn-Tsair & Chang, Chun-Tao, 2007. "Optimal ordering policies when the supplier provides a progressive interest scheme," European Journal of Operational Research, Elsevier, vol. 179(2), pages 404-413, June.
    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. Brander, Par & Leven, Erik & Segerstedt, Anders, 2005. "Lot sizes in a capacity constrained facility--a simulation study of stationary stochastic demand," International Journal of Production Economics, Elsevier, vol. 93(1), pages 375-386, 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. 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.
    2. Chandan Mahato & Gour Chandra Mahata, 2023. "Optimal ordering policy under order-size dependent trade credit and complete backlogging derived algebraically," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 420-444, March.
    3. 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.
    4. 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.
    5. Jaggi, Chandra K. & Yadavalli, V.S.S. & Verma, Mona & Sharma, Anuj, 2015. "An EOQ model with allowable shortage under trade credit in different scenario," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 541-551.
    6. 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.
    7. Glock, Christoph H. & Ries, Jörg M. & Schwindl, Kurt, 2014. "A note on: Optimal ordering policy for stock-dependent demand under progressive payment scheme," European Journal of Operational Research, Elsevier, vol. 232(2), pages 423-426.
    8. Choi, Tsan-Ming, 2007. "Pre-season stocking and pricing decisions for fashion retailers with multiple information updating," International Journal of Production Economics, Elsevier, vol. 106(1), pages 146-170, March.
    9. Mei-Chuan Cheng & Kuo-Ren Lou & Liang-Yuh Ouyang & Yun-Hwa Chiang, 2010. "The optimal ordering policy with trade credit under two different payment methods," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 18(2), pages 413-428, December.
    10. Teng, Jinn-Tsair & Krommyda, Iris-Pandora & Skouri, Konstantina & Lou, Kuo-Ren, 2011. "A comprehensive extension of optimal ordering policy for stock-dependent demand under progressive payment scheme," European Journal of Operational Research, Elsevier, vol. 215(1), pages 97-104, November.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Brander, Par & Forsberg, Rolf, 2006. "Determination of safety stocks for cyclic schedules with stochastic demands," International Journal of Production Economics, Elsevier, vol. 104(2), pages 271-295, December.
    17. Ata Allah Taleizadeh & Bita Hazarkhani & Ilkyeong Moon, 2020. "Joint pricing and inventory decisions with carbon emission considerations, partial backordering and planned discounts," Annals of Operations Research, Springer, vol. 290(1), pages 95-113, July.
    18. Nita Shah & Monika Naik, 2019. "Coordinated production, ordering, shipment and pricing model for supplier-retailer inventory system under trade credit," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 29(2), pages 55-76.
    19. Vaughan, Timothy S., 2007. "Cyclical schedules vs. dynamic sequencing: Replenishment dynamics and inventory efficiency," International Journal of Production Economics, Elsevier, vol. 107(2), pages 518-527, June.
    20. 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.

    More about this item

    Keywords

    Probabilistic Demand; Trade Credit; Optimality; Convexity;
    All these keywords.

    JEL classification:

    • C - Mathematical and Quantitative Methods

    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:eco:journ1:2017-04-49. 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: Ilhan Ozturk (email available below). General contact details of provider: http://www.econjournals.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.