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An EOQ model with random disruption and partial backordering

Author

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  • Hossein Salehi
  • Ata Allah Taleizadeh
  • Reza Tavakkoli-Moghaddam

Abstract

Perfect quality of batches is an assumption in the classic economic order quantity (EOQ) model (of inventory management); however, in practice some disruptions may occur in a supply chain. This paper presents an EOQ model with random disruption and partial backorders. So, when shortage occurs (due to quality problems or normal shortages), some customers are willing to wait for delivery until the next period. There is a finite probability that batches may be defective so an ‘all or none’ policy is used after inspection of batches. The optimal inventory cost and the corresponding decision variables are studied. A solution method is proposed to optimise the inventory cost, and then two numerical examples and a sensitivity analysis are provided to illustrate the results.

Suggested Citation

  • Hossein Salehi & Ata Allah Taleizadeh & Reza Tavakkoli-Moghaddam, 2016. "An EOQ model with random disruption and partial backordering," International Journal of Production Research, Taylor & Francis Journals, vol. 54(9), pages 2600-2609, May.
    • Handle: RePEc:taf:tprsxx:v:54:y:2016:i:9:p:2600-2609
    DOI: 10.1080/00207543.2015.1110634
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    References listed on IDEAS

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    1. Taleizadeh, Ata Allah & Pentico, David W., 2013. "An economic order quantity model with a known price increase and partial backordering," European Journal of Operational Research, Elsevier, vol. 228(3), pages 516-525.
    2. Pentico, David W. & Drake, Matthew J. & Toews, Carl, 2009. "The deterministic EPQ with partial backordering: A new approach," Omega, Elsevier, vol. 37(3), pages 624-636, June.
    3. Taleizadeh, Ata Allah & Pentico, David W. & Aryanezhad, Mirbahador & Ghoreyshi, Seyed Mohammad, 2012. "An economic order quantity model with partial backordering and a special sale price," European Journal of Operational Research, Elsevier, vol. 221(3), pages 571-583.
    4. Hu, Fei & Lim, Cheng-Chew & Lu, Zudi, 2014. "Optimal production and procurement decisions in a supply chain with an option contract and partial backordering under uncertainties," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1225-1234.
    5. Taleizadeh, Ata Allah, 2014. "An EOQ model with partial backordering and advance payments for an evaporating item," International Journal of Production Economics, Elsevier, vol. 155(C), pages 185-193.
    6. Taleizadeh, Ata Allah & Pentico, David W., 2014. "An Economic Order Quantity model with partial backordering and all-units discount," International Journal of Production Economics, Elsevier, vol. 155(C), pages 172-184.
    7. Skouri, K. & Konstantaras, I. & Lagodimos, A.G. & Papachristos, S., 2014. "An EOQ model with backorders and rejection of defective supply batches," International Journal of Production Economics, Elsevier, vol. 155(C), pages 148-154.
    8. Pentico, David W. & Drake, Matthew J., 2011. "A survey of deterministic models for the EOQ and EPQ with partial backordering," European Journal of Operational Research, Elsevier, vol. 214(2), pages 179-198, October.
    9. Pentico, David W. & Drake, Matthew J. & Toews, Carl, 2011. "The EPQ with partial backordering and phase-dependent backordering rate," Omega, Elsevier, vol. 39(5), pages 574-577, October.
    10. Pentico, David W. & Drake, Matthew J., 2009. "The deterministic EOQ with partial backordering: A new approach," European Journal of Operational Research, Elsevier, vol. 194(1), pages 102-113, April.
    11. Taleizadeh, Ata Allah & Pentico, David W. & Saeed Jabalameli, Mohammad & Aryanezhad, Mirbahador, 2013. "An EOQ model with partial delayed payment and partial backordering," Omega, Elsevier, vol. 41(2), pages 354-368.
    12. Hsieh, Tsu-Pang & Dye, Chung-Yuan, 2012. "A note on "The EPQ with partial backordering and phase-dependent backordering rate"," Omega, Elsevier, vol. 40(1), pages 131-133, January.
    13. Wee, Hui-Ming & Huang, Yen-Deng & Wang, Wan-Tsu & Cheng, Yung-Lung, 2014. "An EPQ model with partial backorders considering two backordering costs," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 898-907.
    14. Wee, Hui-Ming & Wang, Wan-Tsu, 2012. "A supplement to the EPQ with partial backordering and phase-dependent backordering rate," Omega, Elsevier, vol. 40(3), pages 264-266.
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    Cited by:

    1. Karakatsoulis, G. & Skouri, K., 2023. "A periodic review inventory model facing different disruption profiles," International Journal of Production Economics, Elsevier, vol. 265(C).
    2. Taleizadeh, Ata Allah & Tafakkori, Keivan & Thaichon, Park, 2021. "Resilience toward supply disruptions: A stochastic inventory control model with partial backordering under the base stock policy," Journal of Retailing and Consumer Services, Elsevier, vol. 58(C).
    3. Hu, Man & Liu, Xue-Xin & Jia, Fu, 2024. "Optimal Emergency Order Policy for Supply Disruptions in the Semiconductor Industry," International Journal of Production Economics, Elsevier, vol. 272(C).
    4. Sevgen, Arya & Sargut, F. Zeynep, 2019. "May reorder point help under disruptions?," International Journal of Production Economics, Elsevier, vol. 209(C), pages 61-69.
    5. Li, Yanhai & Ou, Jinwen, 2020. "Optimal ordering policy for complementary components with partial backordering and emergency replenishment under spectral risk measure," European Journal of Operational Research, Elsevier, vol. 284(2), pages 538-549.
    6. Maheswar Singh Mahapatra & Pravash Chandra Pradhan & J. K. Jha, 2022. "Sourcing decisions with order allocation under supply disruption risk considering quantitative and qualitative criteria," Operational Research, Springer, vol. 22(4), pages 3291-3333, September.
    7. Soheyl Khalilpourazari & Seyed Hamid Reza Pasandideh, 2020. "Multi-objective optimization of multi-item EOQ model with partial backordering and defective batches and stochastic constraints using MOWCA and MOGWO," Operational Research, Springer, vol. 20(3), pages 1729-1761, September.
    8. Konstantaras, I. & Skouri, K. & Lagodimos, A.G., 2019. "EOQ with independent endogenous supply disruptions," Omega, Elsevier, vol. 83(C), pages 96-106.

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