OPTIMAL INVENTORY MANAGEMENT STRATEGY FOR DETERIORATING ITEMS

Authors

  • Danjuma, T. Department of Mathematical Science, Federal University Gusau, P.M.B. 1001, Gusau. Author
  • Chinwenyi, H. C Raw Materials Research and Development Council, No. 17, Aguiyi Ironsi Street, Maitama, Abuja Author

DOI:

https://doi.org/10.60787/jnamp.vol71no.601

Keywords:

Optimization, Optimal policy, Trade credit, Complete backlogging, Shortages

Abstract

This paper studied the problem of profit maximization for deteriorating item model where demand function is stock level dependent, deterioration is controllable, vendor can offer trade credit and shortages are completely backlogged. We derived the objective function which is the total average profit function and solved the profit maximization problem by using MatLab. From the numerical illustrations and sensitivity analysis, we found that the optimal total average profit and the optimal ordered quantity are sensitive to the reduced deteriorating rate and initial demand parameters.

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References

Rajan, R. S. and Uthayakumar, R. (2017). Optimal Pricing and Replenishment Policies for Instantaneous Deteriorating Items with Backlogging and Trade Credit Under Inflation. Journal of Industrial Engineering International, Springer, Heidelberg, 13(4), 427 – 443. http://dx.doi.org/10.1007/s40092-017-0200-3

Pathak, K., Yadav, A.S., Agarwal, P. (2024). Optimizing two-warehouse inventory for shelf-life stock with time-varying bi-quadratic demand under shortages and inflation. Mathematical Modelling of Engineering Problems, 11:(2), 446 – 456. https://doi.org/10.18280/mmep.110216

Neeraj, K., Sweta, D. and Sanjey, K. (2022): Two warehouse inventory model for deteriorating items with fixed shelf-life stock-dependent demand and partial backlogging, J. Math. Comput. Sci., 12 (2022), Article ID 85. https://doi.org/10.28919/jmcs/7142

Bhunia, A. K., Ali, A. S., Vinti, D., Sarala, P. and Leopoldo, E. C. (2018). An Application of Genetic and PSO in an Inventory Model for Single Deteriorating Item With Variable Demand Dependent on Marketing Strategy and Displayed Stock Level. Scientica Iranica. 25: 41 – 55.

Khanna, A., Priyamvada, P. and Chandra, K. J. (2020). Optimizing Preservation Strategies for Deteriorating Items With Time – Varying Holding Cost and Stock – Dependent Demand. Yugoslav Journal of Operations Research. 30: 37 – 50.

Singh, C. and Singh, S. R. (2013). Optimal Ordering Policy for Deteriorating Items With Power – Form Stock Dependent Demand Under Two – Warehouse Storage Facility. OPSEARCH. 50(2), 182 – 196. doi:10.1007/s12597-0105-2

San – Jose, L. A., Sicilia, J., Gonzalez – De – La – Rosa, M. and Febles – Acosta, J. (2020). Best Pricing and Optimal Policy for an Inventory System Under Time – and Price – Dependent Demand and Backordering. Ann. Oper. Res. 286: 351 – 369. http://dx.doi.org/10.1007/s10479-2953-5

Mishra, S. S., Gupta, S., Yadav, S. K. and Rawat, S. (2015). Optimization of Fuzzified Economic Order Quantity Model Allowing Shortage and Deterioration With Full Backlogging. American Journal of Operations Research. 5: 103 – 110.

Kumar, N., Dahiya, S. and Kumar, S. (2022): Two warehouse inventory model for deteriorating items with fixed shelf-life stock-dependent demand and partial backlogging. J. Math. Comput. Sci. 12.

Lesmono, D., Limansyah, T., & Sandy, I. A. (2024). A backorder inventory model considering price-sensitive and stock-dependent demand. International Journal of Mathematics in Operational Research, 27(3), 291–304. https://doi.org/10.1504/IJMOR.2024.138053

Jitendra Kaushik (2025): An inventory model for deteriorating items with ramp type demand pattern: a stock-dependent approach, Cogent Business & Management, 12:1, 2442547, DOI: 10.1080/23311975.2024.2442547

Pando, V., San – Jose, L. A. and Sicilia, J. (2019). Profitability Ratio Maximization in an Inventory Model With Stock Dependent Demand Rate and Nonlinear Holding Cost. Applied Mathematical Modeling. 66: 643 – 661. http://dx.doi.org/10.1016/j.amp.2018.10.007

Ishfaq, R. and Bawa, N. (2019). Profitability of Online Order Fulfillment in Multi – channel Retailing. European Journal of Operational Research. 272: 1028 – 1040. http://dx.doi.org/10.1016/j.ejor.2018.07.047

Pando, V., San – Jose, L. A. and Sicilia, J. (2020). A new Approach to Maximize the Profit/cost Ratio in a Stock Dependent Inventory Model. Computers and Operations Research. 120: 104940. http://dx.doi.org/10.1016/j.cor.2020.104940

Pattnaik, M. (2013). Optimization in an Instantaneous Economic Order Quantity (EOQ) Model Incorporated With Promotional Effort Cost, Variable Ordering Cost and Unit Lost due to Deterioration. Uncertain Supply Chain Management. 1, 57 -66. doi: 10.5267/j.uscm.2013.06.005.

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Published

2026-01-07

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Articles

How to Cite

OPTIMAL INVENTORY MANAGEMENT STRATEGY FOR DETERIORATING ITEMS. (2026). The Journals of the Nigerian Association of Mathematical Physics, 71, 41-56. https://doi.org/10.60787/jnamp.vol71no.601

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