International Research Journal of Education and Technology

This paper presents a systematic mathematical study of Deterministic Inventory Control Models under the assumption of constant demand, known lead time, and fixed cost parameters. The study focuses on the formulation and optimization of classical models including the Basic Economic Order Quantity (EOQ) model, EOQ model with shortages, Production Inventory model, EOQ model with quantity discounts, and multi-item deterministic inventory models. For each model, total inventory cost functions are developed and optimized using differential calculus to obtain optimal order quantities and minimum costs. The analysis demonstrates how deterministic models provide clear decision rules for cost minimization and efficient inventory management under certainty conditions.

KEYWORDS:

     Deterministic Inventory Model, Economic Order Quantity (EOQ), Inventory Optimization, Holding Cost, Ordering Cost, Shortage Model, Production Model, Quantity Discount Model, Multi-Item Inventory, Operations Research.