IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i2p368-d1031283.html
   My bibliography  Save this article

Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile Manufacturing

Author

Listed:
  • Vandana

    (Department of Mathematics, Inderprastha Engineering College, Ghaziabad 201010, India)

  • Shiv Raj Singh

    (Department of Mathematics, Chaudhary Charan Singh University, Meerut 250001, India)

  • Mitali Sarkar

    (Department of Industrial and Management Engineering, Pohang University of Science and Technology, 77, Cheongam-ro, Nam-gu, Pohang-si 37673, Republic of Korea)

  • Biswajit Sarkar

    (Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, Republic of Korea
    Center for Transdisciplinary Research (CFTR), Saveetha Dental College, Saveetha Institute of Medical and Technical Sciences, Saveetha University, 162, Poonamallee High Road, Velappanchavadi, Chennai 600077, India)

Abstract

The aim of this study is to examine the learning and forgetting effect on a manufacturer’s production process with volume agility and carbon emission costs. During COVID-19, the learning rate becomes very low, and the forgetting rate becomes very high. That is why, the analysis of the learning and forgetting effects on the production process is very important. This research finds an effect of learning and forgetting on the manufacturer and on reducing the unit manufacturing cost. Here, the production rate is a function of the number of units produced, and it is taken as a decision variable through agile manufacturing. Here, the Weibull deterioration rate is used, and the production process is subject to the learn–forget–learn policy. Here, a carbon emission cost is introduced into the setup/ordering cost, holding cost, and item cost for the manufacturer. The effect of learning and forgetting is analyzed through numerical examples.

Suggested Citation

  • Vandana & Shiv Raj Singh & Mitali Sarkar & Biswajit Sarkar, 2023. "Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile Manufacturing," Mathematics, MDPI, vol. 11(2), pages 1-20, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:368-:d:1031283
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/2/368/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/2/368/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Daryanto, Yosef & Wee, Hui Ming & Astanti, Ririn Diar, 2019. "Three-echelon supply chain model considering carbon emission and item deterioration," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 368-383.
    2. Batarfi, R & Jaber, M. Y. & Glock, C. H., 2019. "Pricing and inventory decisions in a dual channel supply chain with learning and forgetting," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 115510, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    3. Batarfi, R. & Jaber, M. Y. & Glock, C. H., 2019. "Pricing and inventory decisions in a dual channel supply chain with learning and forgetting," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 115735, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    4. Marchi, B. & Zanoni, S. & Zavanella, L.E. & Jaber, M.Y., 2019. "Supply chain models with greenhouse gases emissions, energy usage, imperfect process under different coordination decisions," International Journal of Production Economics, Elsevier, vol. 211(C), pages 145-153.
    5. Ravi Shankar Kumar & A. Goswami, 2015. "EPQ model with learning consideration, imperfect production and partial backlogging in fuzzy random environment," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(8), pages 1486-1497, June.
    6. Jaber, M.Y. & Bonney, M. & Moualek, I., 2009. "Lot sizing with learning, forgetting and entropy cost," International Journal of Production Economics, Elsevier, vol. 118(1), pages 19-25, March.
    7. Castellano, Davide & Gallo, Mosè & Grassi, Andrea & Santillo, Liberatina C., 2019. "The effect of GHG emissions on production, inventory replenishment and routing decisions in a single vendor-multiple buyers supply chain," International Journal of Production Economics, Elsevier, vol. 218(C), pages 30-42.
    8. Raj Kumar Bachar & Shaktipada Bhuniya & Santanu Kumar Ghosh & Biswajit Sarkar, 2022. "Controllable Energy Consumption in a Sustainable Smart Manufacturing Model Considering Superior Service, Flexible Demand, and Partial Outsourcing," Mathematics, MDPI, vol. 10(23), pages 1-29, November.
    9. Khouja, Moutaz, 1997. "The scheduling of economic lot sizes on volume flexible production systems," International Journal of Production Economics, Elsevier, vol. 48(1), pages 73-86, January.
    10. Jaber, Mohamad Y. & Bonney, Maurice, 1999. "The economic manufacture/order quantity (EMQ/EOQ) and the learning curve: Past, present, and future," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 93-102, March.
    11. Alamri, Adel. A. & Balkhi, Zaid T., 2007. "The effects of learning and forgetting on the optimal production lot size for deteriorating items with time varying demand and deterioration rates," International Journal of Production Economics, Elsevier, vol. 107(1), pages 125-138, May.
    12. Hariga, Moncer A. & Benkherouf, Lakdere, 1994. "Optimal and heuristic inventory replenishment models for deteriorating items with exponential time-varying demand," European Journal of Operational Research, Elsevier, vol. 79(1), pages 123-137, November.
    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. Amrina Kausar & Ahmad Hasan & Chandra K. Jaggi, 2023. "Sustainable inventory management for a closed-loop supply chain with learning effect and carbon emission under the multi-shipment policy," 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. 14(5), pages 1738-1755, October.
    2. Tapan Kumar Datta & Sayantan Datta & Adrijit Goswami, 2024. "A sustainable bi-objective inventory model with source-based emissions and plan-based green investments under inflation and the present value of money," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 34(1), pages 91-117.
    3. Bożena Zwolińska & Jakub Wiercioch, 2023. "Modelling the Reliability of Logistics Flows in a Complex Production System," Energies, MDPI, vol. 16(24), pages 1-22, December.
    4. Saha, Subrata & Sarkar, Biswajit & Sarkar, Mitali, 2023. "Application of improved meta-heuristic algorithms for green preservation technology management to optimize dynamical investments and replenishment strategies," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 426-450.

    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. B. C. Giri & M. Masanta, 2022. "A closed-loop supply chain model with uncertain return and learning-forgetting effect in production under consignment stock policy," Operational Research, Springer, vol. 22(2), pages 947-975, April.
    2. Jaber, Mohamad Y. & Bonney, Maurice & Guiffrida, Alfred L., 2010. "Coordinating a three-level supply chain with learning-based continuous improvement," International Journal of Production Economics, Elsevier, vol. 127(1), pages 27-38, September.
    3. Khan, M. & Jaber, M.Y. & Wahab, M.I.M., 2010. "Economic order quantity model for items with imperfect quality with learning in inspection," International Journal of Production Economics, Elsevier, vol. 124(1), pages 87-96, March.
    4. Sarkar, Biswajit & Kar, Sumi & Basu, Kajla & Seo, Yong Won, 2023. "Is the online-offline buy-online-pickup-in-store retail strategy best among other product delivery strategies under variable lead time?," Journal of Retailing and Consumer Services, Elsevier, vol. 73(C).
    5. Kar, Sumi & Basu, Kajla & Sarkar, Biswajit, 2023. "Advertisement policy for dual-channel within emissions-controlled flexible production system," Journal of Retailing and Consumer Services, Elsevier, vol. 71(C).
    6. Sarkar, Biswajit & Seok, Hyesung & Jana, Tapas Kumar & Dey, Bikash Koli, 2023. "Is the system reliability profitable for retailing and consumer service of a dynamical system under cross-price elasticity of demand?," Journal of Retailing and Consumer Services, Elsevier, vol. 75(C).
    7. Alamri, Adel A. & Syntetos, Aris A., 2018. "Beyond LIFO and FIFO: Exploring an Allocation-In-Fraction-Out (AIFO) policy in a two-warehouse inventory model," International Journal of Production Economics, Elsevier, vol. 206(C), pages 33-45.
    8. Kumar, Patanjal & Baraiya, Rajendra & Das, Debashree & Jakhar, Suresh Kumar & Xu, Lei & Mangla, Sachin Kumar, 2021. "Social responsibility and cost-learning in dyadic supply chain coordination," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 156(C).
    9. Ruozhen Qiu & Yue Yu & Minghe Sun, 2021. "Joint pricing and stocking decisions for a newsvendor problem with loss aversion and reference point effect," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(2), pages 275-288, March.
    10. M. Masanta & B. C. Giri, 2022. "A manufacturing–remanufacturing supply chain model with learning and forgetting in inspection under consignment stock agreement," Operational Research, Springer, vol. 22(4), pages 4093-4117, September.
    11. K. M. Kamna & Prerna Gautam & Chandra K. Jaggi, 0. "Sustainable inventory policy for an imperfect production system with energy usage and volume agility," 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. 0, pages 1-9.
    12. Syed Asif Raza, 2020. "Price Differentiation and Inventory Decisions in a Socially Responsible Dual-Channel Supply Chain with Partial Information Stochastic Demand and Cannibalization," Sustainability, MDPI, vol. 12(22), pages 1-42, November.
    13. Li, Mengmeng & Mizuno, Shinji, 2022. "Dynamic pricing and inventory management of a dual-channel supply chain under different power structures," European Journal of Operational Research, Elsevier, vol. 303(1), pages 273-285.
    14. Pi, Zhenyang & Fang, Weiguo & Perera, Sandun C. & Zhang, Baofeng, 2022. "Enhancing the online buyer perception of consumer experience products in a dual-channel supply chain: A new role of free-riding," International Journal of Production Economics, Elsevier, vol. 253(C).
    15. Syed Asif Raza, 2022. "A bibliometric analysis of pricing models in supply chain," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 21(2), pages 228-251, April.
    16. Stellingwerf, Helena M. & Groeneveld, Leendert H.C. & Laporte, Gilbert & Kanellopoulos, Argyris & Bloemhof, Jacqueline M. & Behdani, Behzad, 2021. "The quality-driven vehicle routing problem: Model and application to a case of cooperative logistics," International Journal of Production Economics, Elsevier, vol. 231(C).
    17. Shi-Woei Lin & Januardi Januardi, 2023. "Two-period pricing and utilization decisions in a dual-channel service-only supply chain," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(2), pages 605-635, June.
    18. K. M. Kamna & Prerna Gautam & Chandra K. Jaggi, 2021. "Sustainable inventory policy for an imperfect production system with energy usage and volume agility," 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(1), pages 44-52, February.
    19. Seyyed-Mahdi Hosseini-Motlagh & Maryam Johari & Mohammadreza Nematollahi & Parvin Pazari, 2023. "Reverse supply chain management with dual channel and collection disruptions: supply chain coordination and game theory approaches," Annals of Operations Research, Springer, vol. 324(1), pages 215-248, May.
    20. Guo, Yuhan & Yu, Junyu & Allaoui, Hamid & Choudhary, Alok, 2022. "Lateral collaboration with cost-sharing in sustainable supply chain optimisation: A combinatorial framework," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).

    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:gam:jmathe:v:11:y:2023:i:2:p:368-:d:1031283. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.