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Periodic inventory model with controllable lead time and back order discount for decaying items

Author

Listed:
  • Haider Ali

    (School of Management and Business Studies)

  • Reshma Nasreen

    (School of Management and Business Studies)

  • Neetu Arneja

    (Maitreyi College, University of Delhi)

  • Chandra K. Jaggi

    (University of Delhi)

Abstract

This study investigates the periodic inventory model for decaying goods that includes price discounts for backorders and considers that only a small portion of shortages are backlogged. The effect of managing lead time as a determining factor in the periodic inventory model. The present model develops a stochastic inventory model which together optimizes the backorder price discount, review period and the lead time for decaying items. During the protection interval, the demand has been looked at in two different ways: when demand distribution is known or not. The backorder ratio is influenced by price discount, and the suggested model assumes a constant deterioration rate. Numerical results show that a controlled lead time can yield significant savings. As far as the author knows, this is the first study to examine periodically deteriorating items with controlled lead times due to backorder discounts. On the other hand, as the products deteriorate at a faster pace, the overall annual cost rises. This research can help with the development of strategies for efficient inventory management of perishable commodities with backorder price reductions.

Suggested Citation

  • Haider Ali & Reshma Nasreen & Neetu Arneja & Chandra K. Jaggi, 2024. "Periodic inventory model with controllable lead time and back order discount for decaying items," OPSEARCH, Springer;Operational Research Society of India, vol. 61(3), pages 1441-1471, September.
    • Handle: RePEc:spr:opsear:v:61:y:2024:i:3:d:10.1007_s12597-023-00738-w
    DOI: 10.1007/s12597-023-00738-w
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    References listed on IDEAS

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    1. Chang, Hung-Chi & Ouyang, Liang-Yuh & Wu, Kun-Shan & Ho, Chia-Huei, 2006. "Integrated vendor-buyer cooperative inventory models with controllable lead time and ordering cost reduction," European Journal of Operational Research, Elsevier, vol. 170(2), pages 481-495, April.
    2. Sana, S. & Goyal, S. K. & Chaudhuri, K. S., 2004. "A production-inventory model for a deteriorating item with trended demand and shortages," European Journal of Operational Research, Elsevier, vol. 157(2), pages 357-371, September.
    3. Li, Jian & Edwin Cheng, T.C. & Wang, Shouyang, 2007. "Analysis of postponement strategy for perishable items by EOQ-based models," International Journal of Production Economics, Elsevier, vol. 107(1), pages 31-38, May.
    4. Chern, Maw-Sheng & Yang, Hui-Ling & Teng, Jinn-Tsair & Papachristos, Sotiris, 2008. "Partial backlogging inventory lot-size models for deteriorating items with fluctuating demand under inflation," European Journal of Operational Research, Elsevier, vol. 191(1), pages 127-141, November.
    5. Goyal, S. K. & Giri, B. C., 2003. "The production-inventory problem of a product with time varying demand, production and deterioration rates," European Journal of Operational Research, Elsevier, vol. 147(3), pages 549-557, June.
    6. Yang, P. C. & Wee, H. M., 2002. "A single-vendor and multiple-buyers production-inventory policy for a deteriorating item," European Journal of Operational Research, Elsevier, vol. 143(3), pages 570-581, December.
    7. Dye, Chung-Yuan & Hsieh, Tsu-Pang & Ouyang, Liang-Yuh, 2007. "Determining optimal selling price and lot size with a varying rate of deterioration and exponential partial backlogging," European Journal of Operational Research, Elsevier, vol. 181(2), pages 668-678, September.
    8. Priyanka & Sarla Pareek, 2023. "A sustainable inventory model for stochastic demand using innovative multi-item production system with reduced failure rate," 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. 14(3), pages 844-864, June.
    9. 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.
    10. Simon Thevenin & Yossiri Adulyasak & Jean‐François Cordeau, 2021. "Material Requirements Planning Under Demand Uncertainty Using Stochastic Optimization," Production and Operations Management, Production and Operations Management Society, vol. 30(2), pages 475-493, February.
    11. Steven Nahmias & Shan Shan Wang, 1979. "A Heuristic Lot Size Reorder Point Model for Decaying Inventories," Management Science, INFORMS, vol. 25(1), pages 90-97, January.
    12. Lin, Yu-Jen, 2008. "Minimax distribution free procedure with backorder price discount," International Journal of Production Economics, Elsevier, vol. 111(1), pages 118-128, January.
    13. Hayya, Jack C. & Harrison, Terry P. & He, X. James, 2011. "The impact of stochastic lead time reduction on inventory cost under order crossover," European Journal of Operational Research, Elsevier, vol. 211(2), pages 274-281, June.
    14. Haider Ali & Reshma Nasreen & Neetu Arneja & Chandra K. Jaggi, 2023. "Optimization of a periodically assessing model with manageable lead time under SLC with back order rebate for deteriorating items," 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. 14(1), pages 241-266, February.
    15. Anuraag Gutgutia & J. K. Jha, 2018. "A closed-form solution for the distribution free continuous review integrated inventory model," Operational Research, Springer, vol. 18(1), pages 159-186, April.
    16. Hsieh, Tsu-Pang & Dye, Chung-Yuan & Ouyang, Liang-Yuh, 2008. "Determining optimal lot size for a two-warehouse system with deterioration and shortages using net present value," European Journal of Operational Research, Elsevier, vol. 191(1), pages 182-192, November.
    17. Hariga, Moncer & Ben-Daya, Mohamed, 1999. "Some stochastic inventory models with deterministic variable lead time," European Journal of Operational Research, Elsevier, vol. 113(1), pages 42-51, February.
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    1. Sweety Gupta & Vinod Kumar Mishra, 2024. "Multi-item stochastic inventory model for deteriorating items with power demand pattern under partial backlogging and joint replenishment," Annals of Operations Research, Springer, vol. 341(2), pages 963-991, October.

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