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Inventory ordering policies of delayed deteriorating items under permissible delay in payments

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  • Musa, Abubakar
  • Sani, Babangida

Abstract

The existing literature on inventory of deteriorating items considers deterioration to begin as soon as the items are stocked. However, there are several deteriorating items that do not start deteriorating immediately they are held in stock. Some farm produce like potatoes, yams and even some fruits and vegetables have this property. Depletion of these items as soon as they are stocked will depend on demand, and when deterioration begins, it will depend on both demand and deterioration. In this paper, we develop a mathematical model on the inventory of deteriorating items that do not start deteriorating immediately they are stocked. The model also takes into cognizance the fact that in business activities nowadays customers are given some allowed period within which to settle for the goods supplied to them. They can use the accrued money from sales of the supplied goods to earn interest within the allowed period. They are charged interest only when they fail to settle the amount they owe the supplier at the end of the allowed period.

Suggested Citation

  • Musa, Abubakar & Sani, Babangida, 2012. "Inventory ordering policies of delayed deteriorating items under permissible delay in payments," International Journal of Production Economics, Elsevier, vol. 136(1), pages 75-83.
    • Handle: RePEc:eee:proeco:v:136:y:2012:i:1:p:75-83
    DOI: 10.1016/j.ijpe.2011.09.013
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    Cited by:

    1. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    2. Roya Tat & Ata Allah Taleizadeh & Maryam Esmaeili, 2015. "Developing economic order quantity model for non-instantaneous deteriorating items in vendor-managed inventory (VMI) system," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1257-1268, May.
    3. 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, vol. 153(C), pages 352-360.
    4. Daniel Seifert & Ralf W. Seifert & Olov H.D. Isaksson, 2017. "A test of inventory models with permissible delay in payment," International Journal of Production Research, Taylor & Francis Journals, vol. 55(4), pages 1117-1128, February.
    5. Avinadav, Tal & Henig, Mordecai I., 2015. "Exact accounting of inventory costs in stochastic periodic-review models," International Journal of Production Economics, Elsevier, vol. 169(C), pages 89-98.
    6. Li, Guiping & He, Xiuli & Zhou, Jing & Wu, Hao, 2019. "Pricing, replenishment and preservation technology investment decisions for non-instantaneous deteriorating items," Omega, Elsevier, vol. 84(C), pages 114-126.
    7. Xiao, Tiaojun & Xu, Tiantian, 2013. "Coordinating price and service level decisions for a supply chain with deteriorating item under vendor managed inventory," International Journal of Production Economics, Elsevier, vol. 145(2), pages 743-752.
    8. Wu, Jiang & Skouri, Konstantina & Teng, Jinn-Tsair & Ouyang, Liang-Yuh, 2014. "A note on “optimal replenishment policies for non-instantaneous deteriorating items with price and stock sensitive demand under permissible delay in payment”," International Journal of Production Economics, Elsevier, vol. 155(C), pages 324-329.
    9. Avinadav, Tal & Herbon, Avi & Spiegel, Uriel, 2014. "Optimal ordering and pricing policy for demand functions that are separable into price and inventory age," International Journal of Production Economics, Elsevier, vol. 155(C), pages 406-417.
    10. Shah, Nita H & Soni, Hardik N & Patel, Kamlesh A, 2013. "Optimizing inventory and marketing policy for non-instantaneous deteriorating items with generalized type deterioration and holding cost rates," Omega, Elsevier, vol. 41(2), pages 421-430.
    11. Soni, Hardik N, 2013. "Optimal replenishment policies for non-instantaneous deteriorating items with price and stock sensitive demand under permissible delay in payment," International Journal of Production Economics, Elsevier, vol. 146(1), pages 259-268.
    12. S. Dari & B. Sani, 2020. "An EPQ model for delayed deteriorating items with quadratic demand and linear holding cost," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 46-72, March.
    13. Rabin Kumar Mallick & Kartik Patra & Shyamal Kumar Mondal, 2020. "Mixture inventory model of lost sale and back-order with stochastic lead time demand on permissible delay in payments," Annals of Operations Research, Springer, vol. 292(1), pages 341-369, September.
    14. Zhou, Yong-Wu & Zhong, Yuanguang & Li, Jicai, 2012. "An uncooperative order model for items with trade credit, inventory-dependent demand and limited displayed-shelf space," European Journal of Operational Research, Elsevier, vol. 223(1), pages 76-85.
    15. Chern, Maw-Sheng & Pan, Qinhua & Teng, Jinn-Tsair & Chan, Ya-Lan & Chen, Sheng-Chih, 2013. "Stackelberg solution in a vendor–buyer supply chain model with permissible delay in payments," International Journal of Production Economics, Elsevier, vol. 144(1), pages 397-404.
    16. Avinadav, Tal & Herbon, Avi & Spiegel, Uriel, 2013. "Optimal inventory policy for a perishable item with demand function sensitive to price and time," International Journal of Production Economics, Elsevier, vol. 144(2), pages 497-506.
    17. Mohd Fahmi Bin Mad Ali & Mohd Khairol Anuar Bin Mohd Ariffin & Faizal Bin Mustapha & Eris Elianddy Bin Supeni, 2021. "An Unsupervised Machine Learning-Based Framework for Transferring Local Factories into Supply Chain Networks," Mathematics, MDPI, vol. 9(23), pages 1-31, December.
    18. Ouyang, Liang-Yuh & Chang, Chun-Tao, 2013. "Optimal production lot with imperfect production process under permissible delay in payments and complete backlogging," International Journal of Production Economics, Elsevier, vol. 144(2), pages 610-617.
    19. Sicilia, Joaquín & González-De-la-Rosa, Manuel & Febles-Acosta, Jaime & Alcaide-López-de-Pablo, David, 2014. "An inventory model for deteriorating items with shortages and time-varying demand," International Journal of Production Economics, Elsevier, vol. 155(C), pages 155-162.
    20. Guchhait, Partha & Kumar Maiti, Manas & Maiti, Manoranjan, 2013. "Production-inventory models for a damageable item with variable demands and inventory costs in an imperfect production process," International Journal of Production Economics, Elsevier, vol. 144(1), pages 180-188.
    21. Ata Allah Taleizadeh & Shayan Tavakoli & Luis Augusto San-José, 2018. "A lot sizing model with advance payment and planned backordering," Annals of Operations Research, Springer, vol. 271(2), pages 1001-1022, December.
    22. Gour Chandra Mahata & Sujit Kumar De, 2016. "An EOQ inventory system of ameliorating items for price dependent demand rate under retailer partial trade credit policy," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 889-916, December.
    23. Ata Allah Taleizadeh & Sara Tavassoli & Arijit Bhattacharya, 2020. "Inventory ordering policies for mixed sale of products under inspection policy, multiple prepayment, partial trade credit, payments linked to order quantity and full backordering," Annals of Operations Research, Springer, vol. 287(1), pages 403-437, April.

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