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A Partially Backlogged Inventory Model for Time-Deteriorating Items Using Penalty Cost and Time-Dependent Holding Cost

Author

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  • Biman Kanti Nath

    (Assam University)

  • Nabendu Sen

    (Assam University)

Abstract

This paper presents an inventory model for items that do not deteriorate for some period of time but after that period they continuously deteriorate and lose their utility, thereby incorporating loss to the system. This degree of loss is expressed by penalty cost function. The prime focus of this work is to develop the economic order quantity model for time-deteriorating items that takes into account penalty cost incurred due to utility deterioration. The demand of the item is considered to be time-dependent. To represent a dynamic market behaviour, holding cost is taken as linear function of time. The objective of this model is to find optimal ordering quantity and optimal shortage occurrence time with a view to minimize the total average cost of the system. Necessary theoretical results are formulated in order to minimizing total cost function and based on which a solution algorithm is designed. Furthermore, a numerical example is taken to illustrate the model and sensitivity analysis is performed with respect to some important inventory parameters.

Suggested Citation

  • Biman Kanti Nath & Nabendu Sen, 2022. "A Partially Backlogged Inventory Model for Time-Deteriorating Items Using Penalty Cost and Time-Dependent Holding Cost," SN Operations Research Forum, Springer, vol. 3(4), pages 1-14, December.
    • Handle: RePEc:spr:snopef:v:3:y:2022:i:4:d:10.1007_s43069-022-00173-5
    DOI: 10.1007/s43069-022-00173-5
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    References listed on IDEAS

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    1. Jain, Karuna & Silver, Edward A., 1994. "Lot sizing for a product subject to obsolescence or perishability," European Journal of Operational Research, Elsevier, vol. 75(2), pages 287-295, June.
    2. Steven Nahmias, 1982. "Perishable Inventory Theory: A Review," Operations Research, INFORMS, vol. 30(4), pages 680-708, August.
    3. Wu, Jiang & Chang, Chun-Tao & Teng, Jinn-Tsair & Lai, Kuei-Kuei, 2017. "Optimal order quantity and selling price over a product life cycle with deterioration rate linked to expiration date," International Journal of Production Economics, Elsevier, vol. 193(C), pages 343-351.
    4. Goyal, S. K. & Giri, B. C., 2001. "Recent trends in modeling of deteriorating inventory," European Journal of Operational Research, Elsevier, vol. 134(1), pages 1-16, October.
    5. Purushottaman Nandakumar & Thomas E. Morton, 1993. "Near Myopic Heuristics for the Fixed-Life Perishability Problem," Management Science, INFORMS, vol. 39(12), pages 1490-1498, December.
    6. Sushil Kumar, 2019. "An EOQ model for deteriorating items with time-dependent exponential demand rate and penalty cost," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 29(3), pages 37-49.
    7. Chang, Chun-Tao & Ouyang, Liang-Yuh & Teng, Jinn-Tsair & Lai, Kuei-Kuei & Cárdenas-Barrón, Leopoldo Eduardo, 2019. "Manufacturer's pricing and lot-sizing decisions for perishable goods under various payment terms by a discounted cash flow analysis," International Journal of Production Economics, Elsevier, vol. 218(C), pages 83-95.
    8. 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.
    9. Al-Amin Khan, Md. & Shaikh, Ali Akbar & Konstantaras, Ioannis & Bhunia, Asoke Kumar & Cárdenas-Barrón, Leopoldo Eduardo, 2020. "Inventory models for perishable items with advanced payment, linearly time-dependent holding cost and demand dependent on advertisement and selling price," International Journal of Production Economics, Elsevier, vol. 230(C).
    10. C.K. Sivashankari, 2019. "Purchasing inventory models for exponential demand with deteriorating items and discounted cost-in third order equation," International Journal of Procurement Management, Inderscience Enterprises Ltd, vol. 12(3), pages 321-335.
    11. Nabendu Sen & Sumit Saha, 2018. "An inventory model for deteriorating items with time dependent holding cost and shortages under permissible delay in payment," International Journal of Procurement Management, Inderscience Enterprises Ltd, vol. 11(4), pages 518-531.
    12. 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.
    13. R.P. Tripathi, 2018. "Deterministic inventory models with nonlinear time-dependent and stock-dependent holding cost under non-increasing time-sensitive demand," International Journal of Economics and Business Research, Inderscience Enterprises Ltd, vol. 16(3), pages 326-336.
    14. R.P. Tripathi & S.M. Mishra, 2016. "EOQ model with linear time dependent demand and different holding cost functions," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 9(4), pages 452-466.
    15. Fujiwara, Okitsugu & Perera, U. L. J. S. R., 1993. "EOQ models for continuously deteriorating products using linear and exponential penalty costs," European Journal of Operational Research, Elsevier, vol. 70(1), pages 104-114, October.
    16. 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.
    17. Ming-Feng Yang & Wei-Chung Tseng, 2015. "Deteriorating Inventory Model for Chilled Food," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-10, April.
    18. Hariga, Moncer, 1997. "Optimal inventory policies for perishable items with time-dependent demand," International Journal of Production Economics, Elsevier, vol. 50(1), pages 35-41, May.
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