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An inventory model with variable demand, component cost and selling price for deteriorating items

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  • Sarkar, Biswajit
  • Saren, Sharmila
  • Wee, Hui-Ming

Abstract

In this paper, we develop an economic order quantity (EOQ) model for finite production rate and deteriorating items with time dependent increasing demand. The component cost and the selling price are considered at a continuous rate of time. The objective of this model is to maximize the total profit over the finite planning horizon. We also want to find the integral number of orders in the finite planning horizon. A numerical example, graphical representations and sensitivity analysis are given to illustrate the model.

Suggested Citation

  • Sarkar, Biswajit & Saren, Sharmila & Wee, Hui-Ming, 2013. "An inventory model with variable demand, component cost and selling price for deteriorating items," Economic Modelling, Elsevier, vol. 30(C), pages 306-310.
    • Handle: RePEc:eee:ecmode:v:30:y:2013:i:c:p:306-310
    DOI: 10.1016/j.econmod.2012.09.002
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    3. Panda, S. & Modak, N.M. & Sana, S.S. & Basu, M., 2015. "Pricing and replenishment policies in dual-channel supply chain under continuous unit cost decrease," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 913-929.
    4. Ata Allah Taleizadeh & Masoumeh Sadat Babaei & Shib Sankar Sana & Biswajit Sarkar, 2019. "Pricing Decision within an Inventory Model for Complementary and Substitutable Products," Mathematics, MDPI, vol. 7(7), pages 1-22, June.
    5. Biswajit Sarkar & Sharmila Saren & Leopoldo Cárdenas-Barrón, 2015. "An inventory model with trade-credit policy and variable deterioration for fixed lifetime products," Annals of Operations Research, Springer, vol. 229(1), pages 677-702, June.
    6. 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.
    7. Sarkar, Mitali & Sarkar, Biswajit, 2013. "An economic manufacturing quantity model with probabilistic deterioration in a production system," Economic Modelling, Elsevier, vol. 31(C), pages 245-252.
    8. Nita H. Shah & Dushyantkumar G. Patel & Digeshkumar B. Shah, 2014. "Optimal Policies for Deteriorating Items with Maximum Lifetime and Two-Level Trade Credits," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-5, April.
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    10. Satya Kumar Das, 2022. "A Fuzzy Multi Objective Inventory Model with Production Cost and Set-up-Cost Dependent on Population," Annals of Data Science, Springer, vol. 9(3), pages 627-643, June.
    11. Javad Sadeghi & Seyed Taghi Akhavan Niaki & Mohammad Reza Malekian & Saeid Sadeghi, 2016. "Optimising multi-item economic production quantity model with trapezoidal fuzzy demand and backordering: two tuned meta-heuristics," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 10(2), pages 170-195.
    12. Tufail Habib & Muhammad Omair & Muhammad Salman Habib & Muhammad Zeeshan Zahir & Sikandar Bilal Khattak & Se-Jin Yook & Muhammad Aamir & Rehman Akhtar, 2023. "Modular Product Architecture for Sustainable Flexible Manufacturing in Industry 4.0: The Case of 3D Printer and Electric Toothbrush," Sustainability, MDPI, vol. 15(2), pages 1-29, January.
    13. Modak, Nikunja Mohan & Panda, Shibaji & Sana, Shib Sankar, 2016. "Three-echelon supply chain coordination considering duopolistic retailers with perfect quality products," International Journal of Production Economics, Elsevier, vol. 182(C), pages 564-578.
    14. Nikunja Mohan Modak & Shibaji Panda & Shib Sankar Sana, 2015. "Managing a two-echelon supply chain with price, warranty and quality dependent demand," Cogent Business & Management, Taylor & Francis Journals, vol. 2(1), pages 1011014-101, December.
    15. Wang, Wan-Chih & Teng, Jinn-Tsair & Lou, Kuo-Ren, 2014. "Seller’s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime," European Journal of Operational Research, Elsevier, vol. 232(2), pages 315-321.
    16. Yong He & Hongfu Huang & Dong Li, 2020. "Inventory and pricing decisions for a dual-channel supply chain with deteriorating products," Operational Research, Springer, vol. 20(3), pages 1461-1503, September.
    17. Chandan Mahato & Gour Chandra Mahata, 2021. "Optimal inventory policies for deteriorating items with expiration date and dynamic demand under two-level trade credit," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 994-1017, December.
    18. Biswajit Sarkar & Bikash Koli Dey & Mitali Sarkar & Ali AlArjani, 2021. "A Sustainable Online-to-Offline (O2O) Retailing Strategy for a Supply Chain Management under Controllable Lead Time and Variable Demand," Sustainability, MDPI, vol. 13(4), pages 1-26, February.
    19. Sarkar, Biswajit & Sarkar, Sumon, 2013. "Variable deterioration and demand—An inventory model," Economic Modelling, Elsevier, vol. 31(C), pages 548-556.
    20. Shib Sankar Sana, 2022. "A structural mathematical model on two echelon supply chain system," Annals of Operations Research, Springer, vol. 315(2), pages 1997-2025, August.
    21. 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.

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