IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2022i1p104-d1015501.html
   My bibliography  Save this article

Three-Echelon Supply Chain Management with Deteriorated Products under the Effect of Inflation

Author

Listed:
  • Surendra Vikram Singh Padiyar

    (Department of Mathematics, Government Degree College, Haldwani 263139, India)

  • Vandana

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

  • Shiv Raj Singh

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

  • Dipti 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)

  • Bikash Koli Dey

    (Department of Industrial & Data Engineering, Hongik University, Wausan-ro 94, Mapo-Gu, Seoul 04066, 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

A business can be properly managed globally when it is under a supply chain. When it is a global supply chain, inflation has a huge effect on supply chain profit. Another important factor is the deterioration of products. Products can deteriorate during storage or transportation, which badly affects each supply chain player. This study develops a three-echelon supply chain model through which products can be delivered to customers easily. In this model, one producer and multiple buyers are considered, and each buyer has a separate group in which multiple suppliers have been taken. Inflation is also added to the model for inflationary fluctuations. To understand this model in real life, a numerical example is discussed and the total profit from the supply chain is extracted. Sensitivity analysis is also shown at the end of the model to find out the effect on the model due to changes in some parameters that affect this model highly. After developing this model, it was found that if the inflation rate falls, then the total profit will increase continuously. On the contrary, if the inflation rate increases, then, in this situation, the total profit will decrease continuously. At present, vaccine makers’ total profit can support the economy of any country, and in this model, the inflation rate decreases as profit increases.

Suggested Citation

  • Surendra Vikram Singh Padiyar & Vandana & Shiv Raj Singh & Dipti Singh & Mitali Sarkar & Bikash Koli Dey & Biswajit Sarkar, 2022. "Three-Echelon Supply Chain Management with Deteriorated Products under the Effect of Inflation," Mathematics, MDPI, vol. 11(1), pages 1-19, December.
  • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:104-:d:1015501
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/1/104/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/1/104/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jaggi, Chandra K. & Aggarwal, K.K. & Goel, S.K., 2006. "Optimal order policy for deteriorating items with inflation induced demand," International Journal of Production Economics, Elsevier, vol. 103(2), pages 707-714, October.
    2. Hesham K. Alfares & Ahmed M. Attia, 2017. "A supply chain model with vendor-managed inventory, consignment, and quality inspection errors," International Journal of Production Research, Taylor & Francis Journals, vol. 55(19), pages 5706-5727, October.
    3. 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.
    4. 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).
    5. Rau, Hsin & Wu, Mei-Ying & Wee, Hui-Ming, 2003. "Integrated inventory model for deteriorating items under a multi-echelon supply chain environment," International Journal of Production Economics, Elsevier, vol. 86(2), pages 155-168, November.
    6. Amit Kumar Saraswat & Ashish Sharma, 2023. "Inventory model for the growing items with price dependent demand, mortality and deterioration," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 47(4), pages 534-546.
    7. 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.
    8. Abu Hashan Md Mashud & Dipa Roy & Yosef Daryanto & Mohd Helmi Ali, 2020. "A Sustainable Inventory Model with Imperfect Products, Deterioration, and Controllable Emissions," Mathematics, MDPI, vol. 8(11), pages 1-21, November.
    9. Maihami, Reza & Govindan, Kannan & Fattahi, Mohammad, 2019. "The inventory and pricing decisions in a three-echelon supply chain of deteriorating items under probabilistic environment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 118-138.
    10. Tiwari, Sunil & Cárdenas-Barrón, Leopoldo Eduardo & Khanna, Aditi & Jaggi, Chandra K., 2016. "Impact of trade credit and inflation on retailer's ordering policies for non-instantaneous deteriorating items in a two-warehouse environment," International Journal of Production Economics, Elsevier, vol. 176(C), pages 154-169.
    11. Rabin Kumar Mallick & Kartik Patra & Shyamal Kumar Mondal, 2020. "Mixture inventory model of lost sale and back-order with stochastic lead time demand on permissible delay in payments," Annals of Operations Research, Springer, vol. 292(1), pages 341-369, September.
    12. Ranveer Singh Rana & Dinesh Kumar & Kanika Prasad, 2022. "Two warehouse dispatching policies for perishable items with freshness efforts, inflationary conditions and partial backlogging," Operations Management Research, Springer, vol. 15(1), pages 28-45, June.
    13. Osama Abdulaziz Alamri & Mahesh Kumar Jayaswal & Faizan Ahmad Khan & Mandeep Mittal, 2022. "An EOQ Model with Carbon Emissions and Inflation for Deteriorating Imperfect Quality Items under Learning Effect," Sustainability, MDPI, vol. 14(3), pages 1-18, January.
    14. Yue Jiang & Yang Zhao & Mengyuan Dong & Shuihua Han, 2019. "Sustainable Supply Chain Network Design with Carbon Footprint Consideration: A Case Study in China," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-19, July.
    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. Lang Liu & Yutao Pu & Zhenwei Liu & Junjie Liu, 2023. "Difference Game of Closed-Loop Supply Chain of Innovative Products with Discrete-Time Conditions," Mathematics, MDPI, vol. 11(13), pages 1-20, July.
    2. Singh, Anshika & Goel, Abhinav, 2024. "Design of the supply chain network for the management of textile waste using a reverse logistics model under inflation," Energy, Elsevier, vol. 292(C).

    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. Ranveer Singh Rana & Dinesh Kumar & Kanika Prasad & K. Mathiyazhagan, 2024. "Mitigating the impact of demand disruption on perishable inventory in a two-warehouse system," Operations Management Research, Springer, vol. 17(2), pages 469-504, June.
    2. Luis A. San-José & Joaquín Sicilia & Manuel González-de-la-Rosa & Jaime Febles-Acosta, 2022. "Profit maximization in an inventory system with time-varying demand, partial backordering and discrete inventory cycle," Annals of Operations Research, Springer, vol. 316(2), pages 763-783, September.
    3. Nidhi Handa & S. R. Singh & Neha Punetha, 2022. "Impact of carbon emission in two-echelon supply chain inventory decision with controllable deterioration and two-level trade-credit period," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1555-1586, December.
    4. 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.
    5. Osama Abdulaziz Alamri, 2023. "A Supply Chain Model with Carbon Emissions and Preservation Technology for Deteriorating Items under Trade Credit Policy and Learning in Fuzzy," Mathematics, MDPI, vol. 11(13), pages 1-58, June.
    6. Mashud, Abu Hashan Md & Chakrabortty, Ripon K. & Hussain, Omar K. & Choi, Tsan-Ming, 2024. "Reducing emissions from production and distribution in three-echelon supply chains," International Journal of Production Economics, Elsevier, vol. 271(C).
    7. 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).
    8. Chia-Nan Wang & Nhat-Luong Nhieu & Yu-Chi Chung & Huynh-Tram Pham, 2021. "Multi-Objective Optimization Models for Sustainable Perishable Intermodal Multi-Product Networks with Delivery Time Window," Mathematics, MDPI, vol. 9(4), pages 1-25, February.
    9. Carole Camisullis & Vincent Giard, 2010. "Détermination des stocks de sécurité dans une chaîne logistique-amont dédiée à une production de masse de produits fortement diversifiés," Working Papers hal-00876986, HAL.
    10. 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.
    11. Zhanwei Tian & Guoqing Zhang, 2021. "Multi-echelon fulfillment warehouse rent and production allocation for online direct selling," Annals of Operations Research, Springer, vol. 304(1), pages 427-451, September.
    12. 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.
    13. Dharmendra Yadav & Umesh Chand & Ruchi Goel & Biswajit Sarkar, 2023. "Smart Production System with Random Imperfect Process, Partial Backordering, and Deterioration in an Inflationary Environment," Mathematics, MDPI, vol. 11(2), pages 1-20, January.
    14. 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.
    15. Zhou, Wei & Zhang, Keang & Zhang, Ying & Duan, Yunlong, 2021. "Operation strategies with respect to insurance subsidy optimization for online retailers dealing with large items," International Journal of Production Economics, Elsevier, vol. 232(C).
    16. 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.
    17. Rabin Kumar Mallick & Kartik Patra & Shyamal Kumar Mondal, 2020. "Mixture inventory model of lost sale and back-order with stochastic lead time demand on permissible delay in payments," Annals of Operations Research, Springer, vol. 292(1), pages 341-369, September.
    18. Daria Minashkina & Ari Happonen, 2023. "Warehouse Management Systems for Social and Environmental Sustainability: A Systematic Literature Review and Bibliometric Analysis," Logistics, MDPI, vol. 7(3), pages 1-33, July.
    19. Mahesh Kumar Jayaswal & Mandeep Mittal & Isha Sangal, 2021. "Ordering policies for deteriorating imperfect quality items with trade-credit financing under learning effect," 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 112-125, February.
    20. Majumder, P. & Bera, U.K. & Maiti, M., 2016. "An EPQ model for two-warehouse in unremitting release pattern with two-level trade credit period concerning both supplier and retailer," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 430-458.

    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:2022:i:1:p:104-:d:1015501. 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.