Economic-order-type inventory models for non-instantaneous deteriorating items and backlogging
RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 3, pp. 895-901.

This paper is concerned with finding the optimal economic order quantity for the basic (EOQ) inventory model with backlogging in the presence of non-instantaneous deterioration. It is shown that the optimal EOQ is a threshold policy. That is, (i) if the time at which deterioration begins in the non-instantaneous deterioration model is greater than or equal to the time at which backlogging begins in the basic (EOQ) model, then the optimal policy is determined by the parameters of the basic (EOQ) model, else (ii) the optimal policy corresponds to the unique critical point of the objective function for the model with non-instantaneous deterioration. An approach for determining this policy is proposed. This approach is simple and easy to implement. Moreover, it does not suffer from the shortcomings of existing approaches in the literature. A numerical example is presented for illustration.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2018010
Classification : 90B05
Mots-clés : Inventory models, non-instantaneous deterioration, optimal policy
Ahmad, Bashair 1 ; Benkherouf, Lakdere 1

1 
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     author = {Ahmad, Bashair and Benkherouf, Lakdere},
     title = {Economic-order-type inventory models for non-instantaneous deteriorating items and backlogging},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {895--901},
     publisher = {EDP-Sciences},
     volume = {52},
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     year = {2018},
     doi = {10.1051/ro/2018010},
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Ahmad, Bashair; Benkherouf, Lakdere. Economic-order-type inventory models for non-instantaneous deteriorating items and backlogging. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 3, pp. 895-901. doi : 10.1051/ro/2018010. http://www.numdam.org/articles/10.1051/ro/2018010/

[1] X.Y. Ai, J.L. Zhang and L. Wang, Optimal joint replenishment policy for multiple non-instantaneous deteriorating items. Int. J. Prod. Res. 55 (2017) 4625–4642. | DOI

[2] H.-C. Chang, C.-H. Ho, L.-H. Ouyang and C.-H. Su, The optimal pricing and ordering policy for an integrated inventory model when trade credit linked to order quantity. Appl. Math. Model. 33 (2009) 2978–2991. | DOI | MR | Zbl

[3] C.-T. Chang, J.-T. Teng and S.K. Goyal, Optimal replenishment policies for non-instantaneous deteriorating items with stock dependent demand. Int. J. Prod. Econ. 123 (2010) 62–68. | DOI

[4] C.-T. Chang, M.-C. Cheng and L.-Y. Outyang, Optimal pricing and ordering policies for non-instantaneously deteriorating items under order-size-dependent delay in payments. Appl. Math. Model. 39 (2015) 747–763. | DOI | MR | Zbl

[5] F.S. Hillier and G.J. Lieberman, Introduction to Operations Research, 10th edn. McGraw Hill Education, New York (2015). | Zbl

[6] L.-Y. Ouyang, K.-S. Wu and C.-T. Yang, A study of an inventory model for non-instantaneous deteriorating items with permissible delay in payments. Comput. Ind. Eng. 51 (2006) 637–651. | DOI

[7] S. Tiwari, C.K. Jaggi, A.K. Bhunia, A.K. Shaikh and M. Goh, Two-warehouse inventory model for non-instantaneous deteriorating items with stock-dependent demand and inflation using particle swarm optimization. Ann. Oper. Res. 254 (2017) 401423. | DOI | MR

[8] K.-S. Wu, L.-Y. Ouyang and C.-T. Yang, An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging. Int. J. Prod. Econ. 101 (2006) 369–386. | DOI

[9] J. Wu, K. Skouri, J.-T. Teng and L.-Y. Ouyang, A note “optimal replenishment policy for non-instantaneous deteriorating items with price and stock sensitive demand under permissible delay in payment”. Int. J. Prod. Econ. 155 (2014) 324–329. | DOI

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