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An EOQ model with partial delayed payment and partial backordering

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  • Taleizadeh, Ata Allah
  • Pentico, David W.
  • Saeed Jabalameli, Mohammad
  • Aryanezhad, Mirbahador

Abstract

In many transactions concerning selling and buying, a specified delay of payment is offered or accepted by the seller. This can be regarded as a kind of discount and has potential consequences for the order size. These kinds of effects are not explicitly incorporated in the classical formulas for economic order quantities (EOQ). In this research we consider an EOQ problem under partial delayed payment. A fraction of the purchasing cost must be paid at the beginning of the period and the remaining amount can be paid later. Shortages are permitted and occur as a combination of backorders and lost sales. The aim of this paper is to determine the order and shortage quantities.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:jomega:v:41:y:2013:i:2:p:354-368 DOI: 10.1016/j.omega.2012.03.008
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. San-José, Luis A. & Sicilia, Joaquín & García-Laguna, Juan, 2014. "Optimal lot size for a production–inventory system with partial backlogging and mixture of dispatching policies," International Journal of Production Economics, Elsevier, pages 194-203.
    2. repec:eee:jomega:v:72:y:2017:i:c:p:71-86 is not listed on IDEAS
    3. Yang, Honglin & Zhuo, Wenyan & Shao, Lusheng, 2017. "Equilibrium evolution in a two-echelon supply chain with financially constrained retailers: The impact of equity financing," International Journal of Production Economics, Elsevier, pages 139-149.
    4. Zhang, Qinhong & Dong, Ming & Luo, Jianwen & Segerstedt, Anders, 2014. "Supply chain coordination with trade credit and quantity discount incorporating default risk," International Journal of Production Economics, Elsevier, pages 352-360.
    5. San-José, L.A. & Sicilia, J. & García-Laguna, J., 2015. "Analysis of an EOQ inventory model with partial backordering and non-linear unit holding cost," Omega, Elsevier, pages 147-157.
    6. Pourmohammad Zia, Nadia & Taleizadeh, Ata Allah, 2015. "A lot-sizing model with backordering under hybrid linked-to-order multiple advance payments and delayed payment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, pages 19-37.
    7. M. Palanivel & R. Uthayakumar, 2016. "Two-warehouse inventory model for non-instantaneous deteriorating items with partial backlogging and inflation over a finite time horizon," OPSEARCH, Springer;Operational Research Society of India, vol. 53(2), pages 278-302, June.
    8. Gao, Deng & Zhao, Xiaobo & Geng, Wei, 2014. "A delay-in-payment contract for Pareto improvement of a supply chain with stochastic demand," Omega, Elsevier, pages 60-68.
    9. Pentico, David W. & Toews, Carl & Drake, Matthew J., 2015. "Approximating the EOQ with partial backordering at an exponential or rational rate by a constant or linearly changing rate," International Journal of Production Economics, Elsevier, pages 151-159.
    10. repec:spr:ijsaem:v:8:y:2017:i:2:d:10.1007_s13198-016-0418-2 is not listed on IDEAS
    11. Govindan, Kannan, 2015. "The optimal replenishment policy for time-varying stochastic demand under vendor managed inventory," European Journal of Operational Research, Elsevier, vol. 242(2), pages 402-423.
    12. 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.

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