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Pricing Policy in an Inventory Model with Green Level Dependent Demand for a Deteriorating Item

Author

Listed:
  • Md. Abdul Hakim

    (Department of Mathematics, Comilla University, Cumilla 3506, Bangladesh)

  • Ibrahim M. Hezam

    (Department of Statistics & Operations Research, College of Sciences, King Saud University, Riyadh 11451, Saudi Arabia)

  • Adel Fahad Alrasheedi

    (Department of Statistics & Operations Research, College of Sciences, King Saud University, Riyadh 11451, Saudi Arabia)

  • Jeonghwan Gwak

    (Department of Software, Korea National University of Transportation, Chungju 27469, Korea
    Department of Biomedical Engineering, Korea National University of Transportation, Chungju 27469, Korea
    Department of AI Robotics Engineering, Korea National University of Transportation, Chungju 27469, Korea
    Department of IT & Energy Convergence (BK21 FOUR), Korea National University of Transportation, Chungju 27469, Korea)

Abstract

The goal of this research is to investigate an inventory model for degrading commodities with linear selling prices and nonlinear green level-dependent demand for an item. The pre-payment option with a one-time flat reduction on the product’s selling price is considered here. The governing differential equations are used to mathematically define the model and solve numerically to optimize the model’s average profit. After that, the model is tested using a numerical example, and sensitivity analyses are run to see how changing inventory factors affects the best strategy. The concavity of the objective function is shown graphically with the help of MATLAB software. Finally, some applications of this approach and future scopes are discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jsusta:v:14:y:2022:i:8:p:4646-:d:793055
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    References listed on IDEAS

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    1. Chun-Tao Chang, 2004. "Inventory Models With Stock-Dependent Demand And Nonlinear Holding Costs For Deteriorating Items," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 21(04), pages 435-446.
    2. 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.
    3. Rajan Mondal & Ali Akbar Shaikh & Asoke Kumar Bhunia, 2019. "Crisp and interval inventory models for ameliorating item with Weibull distributed amelioration and deterioration via different variants of quantum behaved particle swarm optimization-based techniques," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 25(6), pages 602-626, November.
    4. Maihami, Reza & Nakhai Kamalabadi, Isa, 2012. "Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand," International Journal of Production Economics, Elsevier, vol. 136(1), pages 116-122.
    5. Mehdi Golari & Neng Fan & Tongdan Jin, 2017. "Multistage Stochastic Optimization for Production-Inventory Planning with Intermittent Renewable Energy," Production and Operations Management, Production and Operations Management Society, vol. 26(3), pages 409-425, March.
    6. Dye, Chung-Yuan & Yang, Chih-Te, 2016. "Optimal dynamic pricing and preservation technology investment for deteriorating products with reference price effects," Omega, Elsevier, vol. 62(C), pages 52-67.
    7. Taleizadeh, Ata Allah & Noori-daryan, Mahsa & Cárdenas-Barrón, Leopoldo Eduardo, 2015. "Joint optimization of price, replenishment frequency, replenishment cycle and production rate in vendor managed inventory system with deteriorating items," International Journal of Production Economics, Elsevier, vol. 159(C), pages 285-295.
    8. Shilpy Tayal & S.R. Singh & Rajendra Sharma & Anand Chauhan, 2014. "Two echelon supply chain model for deteriorating items with effective investment in preservation technology," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 6(1), pages 84-105.
    9. Miranda, Pablo A. & Garrido, Rodrigo A., 2004. "Incorporating inventory control decisions into a strategic distribution network design model with stochastic demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 40(3), pages 183-207, May.
    10. Fangruo Chen, 2001. "Market Segmentation, Advanced Demand Information, and Supply Chain Performance," Manufacturing & Service Operations Management, INFORMS, vol. 3(1), pages 53-67, February.
    11. 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.
    12. Khan, Md. Al-Amin & Shaikh, Ali Akbar & Cárdenas-Barrón, Leopoldo Eduardo, 2021. "An inventory model under linked-to-order hybrid partial advance payment, partial credit policy, all-units discount and partial backlogging with capacity constraint," Omega, Elsevier, vol. 103(C).
    13. 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.
    14. Alberto Cambini & Laura Martein, 2009. "Generalized Convexity and Optimization," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-70876-6, July.
    15. Pal, S. & Goswami, A. & Chaudhuri, K. S., 1993. "A deterministic inventory model for deteriorating items with stock-dependent demand rate," International Journal of Production Economics, Elsevier, vol. 32(3), pages 291-299, November.
    16. Asim Paul & Magfura Pervin & Sankar Kumar Roy & Nelson Maculan & Gerhard-Wilhelm Weber, 2022. "A green inventory model with the effect of carbon taxation," Annals of Operations Research, Springer, vol. 309(1), pages 233-248, February.
    17. Magfura Pervin & Sankar Kumar Roy & Gerhard-Wilhelm Weber, 2018. "Analysis of inventory control model with shortage under time-dependent demand and time-varying holding cost including stochastic deterioration," Annals of Operations Research, Springer, vol. 260(1), pages 437-460, January.
    18. Hammami, Ramzi & Nouira, Imen & Frein, Yannick, 2015. "Carbon emissions in a multi-echelon production-inventory model with lead time constraints," International Journal of Production Economics, Elsevier, vol. 164(C), pages 292-307.
    19. Debashis Dutta & Pavan Kumar, 2015. "A partial backlogging inventory model for deteriorating items with time-varying demand and holding cost," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 7(3), pages 281-296.
    20. Sana, Shib Sankar, 2020. "Price competition between green and non green products under corporate social responsible firm," Journal of Retailing and Consumer Services, Elsevier, vol. 55(C).
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