IDEAS home Printed from https://ideas.repec.org/a/spr/operea/v24y2024i3d10.1007_s12351-024-00848-3.html
   My bibliography  Save this article

Inventory policy for degrading items under advanced payment with price and memory sensitive demand using metaheuristic techniques

Author

Listed:
  • Praveendra Singh

    (Indian Institute of Technology Roorkee)

  • Madhu Jain

    (Indian Institute of Technology Roorkee)

Abstract

The integer-order methods may fail to adequately describe the behavior of many real-world inventory systems. A fractional order inventory model can be developed to examine the memory effect on the demand. In this article, we develop a fractional order inventory control policy related to non-immediately degrading goods by incorporating memory and selling price sensitive demand. The mathematical model is developed using Caputo fractional derivatives and analyzed using Laplace transform approach. An appropriate preservation policy is established to reduce the degradation in the inventory system. It is evident from the literature that the advanced payment schemes for memory-based inventory systems have not been investigated. A partial pre-payment plan where the vendor provides a discount on the purchasing price is studied by considering memory-based demand. Particle swarm optimization and differential evolution metaheuristics are employed to handle the profit maximization problem. The usefulness of the memory-based model is examined by taking a numerical example. The proposed study also reveals that the memory indices significantly impact the optimal profit. Management insights are established by considering the model's applicability by taking numerical illustrations and performing sensitivity tests on the key inventory parameters.

Suggested Citation

  • Praveendra Singh & Madhu Jain, 2024. "Inventory policy for degrading items under advanced payment with price and memory sensitive demand using metaheuristic techniques," Operational Research, Springer, vol. 24(3), pages 1-34, September.
    • Handle: RePEc:spr:operea:v:24:y:2024:i:3:d:10.1007_s12351-024-00848-3
    DOI: 10.1007/s12351-024-00848-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12351-024-00848-3
    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/s12351-024-00848-3?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. Ata Allah Taleizadeh & Leila Aliabadi & Park Thaichon, 2022. "A sustainable inventory system with price-sensitive demand and carbon emissions under partial trade credit and partial backordering," Operational Research, Springer, vol. 22(4), pages 4471-4516, September.
    2. Gérard P. Cachon, 2004. "The Allocation of Inventory Risk in a Supply Chain: Push, Pull, and Advance-Purchase Discount Contracts," Management Science, INFORMS, vol. 50(2), pages 222-238, February.
    3. R. Begum & R.R. Sahoo & S.K. Sahu, 2012. "A replenishment policy for items with price-dependent demand, time-proportional deterioration and no shortages," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(5), pages 903-910.
    4. Wu, Kun-Shan & Ouyang, Liang-Yuh & Yang, Chih-Te, 2006. "An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging," International Journal of Production Economics, Elsevier, vol. 101(2), pages 369-384, June.
    5. 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.
    6. Zhang, Alex X., 1996. "Optimal advance payment scheme involving fixed per-payment costs," Omega, Elsevier, vol. 24(5), pages 577-582, October.
    7. Md. Al-Amin Khan & Ali Akbar Shaikh & Gobinda Chandra Panda & Asoke Kumar Bhunia & Ioannis Konstantaras, 2020. "Non-instantaneous deterioration effect in ordering decisions for a two-warehouse inventory system under advance payment and backlogging," Annals of Operations Research, Springer, vol. 289(2), pages 243-275, June.
    8. 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.
    9. H. J. Haubold & A. M. Mathai & R. K. Saxena, 2011. "Mittag-Leffler Functions and Their Applications," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-51, May.
    10. Hsu, P.H. & Wee, H.M. & Teng, H.M., 2010. "Preservation technology investment for deteriorating inventory," International Journal of Production Economics, Elsevier, vol. 124(2), pages 388-394, April.
    11. C. K. Sivashankari & R. Valarmathi, 2023. "Optimal pricing and production lot-size policies in imperfect production system with price-sensitive demand, reworking, scrap, and sales return," Operational Research, Springer, vol. 23(3), pages 1-28, September.
    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. Md. Abdul Hakim & Ibrahim M. Hezam & Adel Fahad Alrasheedi & Jeonghwan Gwak, 2022. "Pricing Policy in an Inventory Model with Green Level Dependent Demand for a Deteriorating Item," Sustainability, MDPI, vol. 14(8), pages 1-16, April.
    2. San-José, Luis A. & Sicilia, Joaquín & Cárdenas-Barrón, Leopoldo Eduardo & González-de-la-Rosa, Manuel, 2024. "A sustainable inventory model for deteriorating items with power demand and full backlogging under a carbon emission tax," International Journal of Production Economics, Elsevier, vol. 268(C).
    3. M. Palanivel & R. Uthayakumar, 2015. "Finite horizon EOQ model for non-instantaneous deteriorating items with price and advertisement dependent demand and partial backlogging under inflation," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(10), pages 1762-1773, July.
    4. Shun-Po Chiu & Jui-Jung Liao & Sung-Lien Kang & Hari Mohan Srivastava & Shy-Der Lin, 2024. "Sustainable Inventory Managements for Non-Instantaneous Deteriorating Items: Preservation Technology and Green Technology Approaches with Advanced Purchase Discounts and Joint Emission Regulations," Sustainability, MDPI, vol. 16(16), pages 1-41, August.
    5. 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.
    6. Falguni Mahato & Mukunda Choudhury & Sudipa Das & Gour Chandra Mahata, 2024. "Optimal pricing and replenishment decisions for non-instantaneous deteriorating items with a fixed lifetime and partial backordering under carbon regulations," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 26(8), pages 21399-21432, August.
    7. Li, Guiping & He, Xiuli & Zhou, Jing & Wu, Hao, 2019. "Pricing, replenishment and preservation technology investment decisions for non-instantaneous deteriorating items," Omega, Elsevier, vol. 84(C), pages 114-126.
    8. Dye, Chung-Yuan, 2013. "The effect of preservation technology investment on a non-instantaneous deteriorating inventory model," Omega, Elsevier, vol. 41(5), pages 872-880.
    9. 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.
    10. 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.
    11. 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.
    12. Sudarshan Bardhan & Haimanti Pal & Bibhas Chandra Giri, 2019. "Optimal replenishment policy and preservation technology investment for a non-instantaneous deteriorating item with stock-dependent demand," Operational Research, Springer, vol. 19(2), pages 347-368, June.
    13. Sarkar, Biswajit & Sarkar, Sumon, 2013. "Variable deterioration and demand—An inventory model," Economic Modelling, Elsevier, vol. 31(C), pages 548-556.
    14. 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.
    15. M. Palanivel & R. Uthayakumar, 2016. "Two-warehouse inventory model for non-instantaneous deteriorating items with partial backlogging and inflation over a finite time horizon," OPSEARCH, Springer;Operational Research Society of India, vol. 53(2), pages 278-302, June.
    16. Guowei Liu & Jianxiong Zhang & Wansheng Tang, 2015. "Joint dynamic pricing and investment strategy for perishable foods with price-quality dependent demand," Annals of Operations Research, Springer, vol. 226(1), pages 397-416, March.
    17. 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.
    18. Sandun C. Perera & Suresh P. Sethi, 2023. "A survey of stochastic inventory models with fixed costs: Optimality of (s, S) and (s, S)‐type policies—Discrete‐time case," Production and Operations Management, Production and Operations Management Society, vol. 32(1), pages 131-153, January.
    19. R. Udayakumar & K. V. Geetha, 2017. "Economic ordering policy for single item inventory model over finite time horizon," 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 734-757, November.
    20. Priyamvada & Prerna Gautam & Aditi Khanna, 2021. "Sustainable production strategies for deteriorating and imperfect quality items with an investment in preservation technology," 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. 12(5), pages 910-918, October.

    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:operea:v:24:y:2024:i:3:d:10.1007_s12351-024-00848-3. 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.