Cost Minimization Problem for Deteriorating Item With Stock Level Dependent Demand and Controllable Deterioration Under Trade Credit and Partial Backlogging.

Danjuma Theophilus; Laminu Idris

doi:10.52589/AJMSS-CF9TUPGN

Cost Minimization Problem for Deteriorating Item With Stock Level Dependent Demand and Controllable Deterioration Under Trade Credit and Partial Backlogging. | AB Journals

Cost Minimization Problem for Deteriorating Item With Stock Level Dependent Demand and Controllable Deterioration Under Trade Credit and Partial Backlogging.

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African Journal of Mathematics and Statistics Studies

Vol. 8Issue 22025pp. 141–158Published 12 July 2025

DOI 10.52589/AJMSS-CF9TUPGN

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Abstract:

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

Keywords:Trade credit partial backlogging Deterioration Objective function Minimization.

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