An Economic Order Quantity Model for Ameliorating Items with Linear Demand and Shortage

References

[1] R. F. Covert and P. G. Philip, “An economic order quantity model for items with Weibull distribution,” AIIE Transactions, vol. 5, pp. 323–326, 1973.

[2] P. M. Ghare and G. F. Schrader, “A model for exponentially decaying inventory,” Journal of Industrial Engineering, vol. 14, pp. 238–243, 1963.

[3] S. K. Goyal and B. C. Giri, “Recent trends in modeling of deteriorating inventory,” European Journal of Operational Research, vol. 134, pp. 1–16, 2001.

[4] Y. I. Gwanda and B. Sani, “An economic order quantity model for ameliorating items with constant demand,” ABACUS: The Journal of the Mathematical Association of Nigeria, vol. 38, no. 2, pp. 161–168, 2011.

[5] Y. I. Gwanda and B. Sani, “An economic order quantity model for ameliorating items with linear trend in demand,” ABACUS: The Journal of the Mathematical Association of Nigeria, vol. 39, no. 2, pp. 216–226, 2012.

[6] S. K. Hwang, “A study of inventory model for items with Weibull ameliorating,” Computers & Industrial Engineering, vol. 33, pp. 701–704, 1997.

[7] S. K. Hwang, “Inventory models for both ameliorating and deteriorating items,” Computers & Industrial Engineering, vol. 37, pp. 257–260, 1999.

[8] S. K. Hwang, “A stochastic set-covering location model for both ameliorating and deteriorating items,” Computers & Industrial Engineering, vol. 46, pp. 313–319, 2004.

[9] I. Moon, B. C. Giri, and B. Ko, “Economic order quantity model for ameliorating/deteriorating items under inflation and time discounting,” European Journal of Operational Research, vol. 162, pp. 773–785, 2005.

[10] I. Moon, B. C. Giri, and B. Ko, “Erratum to ‘Economic order quantity model for ameliorating/deteriorating items under inflation and time discounting’,” European Journal of Operational Research, vol. 174, no. 2, pp. 1345–1347, 2006.

[11] I. Mondal et al., “An inventory system of ameliorating items for price dependent demand,” Computers & Industrial Engineering, vol. 45, pp. 443–456, 2005.

[12] R. B. Misra, “Optimum production lot-size model for a system with deteriorating inventory,” International Journal of Production Research, vol. 13, pp. 495–505, 1975.

[13] F. Raafat, “Survey of literature on continuously deteriorating inventory models,” Journal of the Operational Research Society, vol. 42, pp. 27– 37, 1991.

[14] B. R. Sarker, S. Mukherjee, and C. V. Balan, “An order level lot size inventory model with inventory level dependent demand and deterioration,” International Journal of Production Economics, vol. 48, no. 2, pp. 227– 236, 1997.

[15] Y. He and S. Wang, “An inventory model for deteriorating items with stochastic demand and shortages,” European Journal of Operational Research, vol. 168, pp. 514–529, 2006.

[16] J. Min and Y. Zhou, “A perishable inventory model with stock-dependent demand and shortages,” International Journal of Production Economics, vol. 133, pp. 543–551, 2011.

[17] S. Tiwari, L. E. Cárdenas-Barrón, and A. Khanna, “Inventory models for deteriorating items with expiration dates, shortages and partial backlogging,” Applied Mathematical Modelling, vol. 40, pp. 4968–4983, 2016.

[18] Y. I. Gwanda, U. M. Abubakar, and F. A. Idris, “An EOQ model for items that are both ameliorating and deteriorating with linear inventory level dependent demand,” FUDMA Journal of Sciences, vol. 7, no. 1, pp. 5–11, Feb. 2023.

[19] H. N. Laily, S. Abusini, and U. Sa’adah, “EOQ model for deteriorating and ameliorating items under cubic demand and partial backlogging,” BAREKENG: J. Math. & Appl., vol. 17, no. 1, pp. 0021–0028, Apr. 2023.

[20] G. E. Michael et al., “Economic order quantity (EOQ) for items exhibiting delay in deterioration with price, stock, and reliability demand under partial backlogging,” Science World Journal, vol. 19, no. 4, 2024.

[21] A. A. Madugu, B. Bature, I. M. Idris, and M. M. Lawal, “An order quantity model for delayed deteriorating items with time-varying demand rate and holding cost, complete backlogging rate and two-level pricing strategies under trade credit policy,” UMYU Scientifica, vol. 2, no. 3, pp. 165–180, 2023.

[22] S. Kumar and A. Kumar, “Development of inventory model for different realistic situations,” Int. J. Math. Trends Technol., vol. 70, no. 9, pp. 35–46, 2024.

[23] S. Kumar, “Strategic inventory optimization: analyzing deteriorating inventory with price- dependent demand, time-variant holding costs, and inflation effects,” Int. J. Math. Comput. Res., vol. 12, no. 8, pp. 4389–4397, Aug. 2024.

[24] “Three warehouse inventory model for non- instantaneous deteriorating items with quadratic demand, time-varying holding costs and backlogging over finite time horizon,” Ain Shams Eng. J., vol. 15, no. 7, 102826, Jul. 2024.

[25] M. Sebatjane and O. Adetunji, “A four-echelon supply chain inventory model for growing items with imperfect quality and errors in quality inspection,” Ann. Oper. Res., vol. 335, pp. 327– 359, Apr. 2024.

[26] M. Alnahhal, B. L. Aylak, M. Al Hazza, and A. Sakhrieh, “Economic order quantity: a state-of- the-art in the era of uncertain supply chains,” Sustainability, vol. 16, no. 14, 5965, 2024.

[27] “Inventory model for deteriorating goods with stock and price-dependent demand under inflation and partial backlogging to address post Covid-19 supply chain challenges,” Results in Control and Optimization, vol. 14, 100369, 2024.

[28] R. Sarker et al., “Inventory model for instantaneously deteriorating items with multiple trade facilities, stock- and price- dependent demand, and full backlogging,” Computation, vol. 12, no. 12, 244, Dec. 2024.

[29] “An analytics-driven economic order quantity model integrating fuzzy learning for deteriorating imperfect items in sustainable supply chains,” Supply Chain Analytics, vol. 10, 100120, Jun. 2025.

[30] K. Tshinangi, O. Adetunji, and S. Yadavalli, “An inventory model for growing items with imperfect quality, deterioration, and freshness- and inventory level-dependent demand under

@article{1713214,
      author = {Umar Ali Muhammad, Lawwal Muduru Sada, Bishir Kasim, Mukhtar Ibrahim Adam, Abubakar Tanimu; Abduljalal Ali Muhammad},
      title = {An Economic Order Quantity Model for Ameliorating Items with Linear Demand and Shortage},
      journal = {Iconic Research And Engineering Journals},
      year = {2025},
      volume = {9},
      number = {6},
      pages = {2481-2491},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1713214.pdf},
      abstract = {In this research, we developed an economic order quantity model for ameliorating items where the demand is linear with shortage. Fruits, farm produce, poultry, fish etc, provide good examples for such items. When these items are in the production centre or taken to the sales counter, they incur increase in weight or utility due to growth and at the same time may deteriorate in value due to disease. An economic order quantity (EOQ) model for such items is hereby formulated. The model determines the best cycle length so as to minimize the overall cost. Fruit merchants, poultry managers, etc, could use the model. Numerical examples are given to illustrate the model.},
      month = {December},
      doi = {https://doi.org/10.64388/IREV9I6-1713214}
  }