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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
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    References listed on IDEAS

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    1. 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.
    2. 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).
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    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.
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