Optimal Inventory Policy for Deteriorating Item under Stock Level Dependent Demand, Controllable Deterioration, Trade Credit and Complete Backlogging

Authors

  • Danjuma Theophilus Department of Mathematical Sciences, Federal University Gusau, Nigeria Author
  • Laminu Idris Department of Mathematical Sciences, Federal University Gusau, Nigeria Author
  • Muhammad L. Jabaka Department of Mathematical Sciences, Federal University Gusau, Nigeria Author

DOI:

https://doi.org/10.62054/ijdm/0202.17

Abstract

This study examines the inventory management problem for deteriorating item with stock level dependent demand and controllable deterioration under trade credit and complete backlogging and derived the objective function which is the total average cost function and minimized it. We applied the optimization problem solver in MATLAB to solve the derived objective function. From the numerical illustrations and sensitivity analysis, it is observed that the optimal total average cost and the optimal order quantity are sensitive to the initial demand rate, stock level and the reduced deteriorating rate parameters.

References

References

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Published

2025-06-29

How to Cite

Optimal Inventory Policy for Deteriorating Item under Stock Level Dependent Demand, Controllable Deterioration, Trade Credit and Complete Backlogging. (2025). International Journal of Development Mathematics (IJDM), 2(2), 298-313. https://doi.org/10.62054/ijdm/0202.17