Inventory management addresses two fundamental decisions: order quantity and order timing, aiming to minimize total cost of acquisition, holding, and potential shortage. The Economic Order Quantity (EOQ) model is a foundational framework that derives the optimal batch size by balancing the opposing costs of frequent small orders against costs of holding larger inventory stocks. The model assumes continuous demand, instantaneous replenishment, and fixed ordering costs, enabling a closed-form solution derived from minimizing total annual inventory cost. Table of Contents: - Inventory management role in production planning: post-disaggregation material acquisition - Two core decisions: order quantity (how much) and order timing (when) - Demand classification: continuous demand assumption in classical EOQ - Cost categories: ordering cost, holding/carrying cost, shortage cost, item acquisition cost - Economic Order Quantity (EOQ) formula: Q = √(2DC_n / C_c) where D is annual demand, C_n is order cost, C_c is carrying cost - Total cost expression: TC = (D/Q)C_n + (Q/2)C_c for the cost-minimizing formulation - Key assumptions: no stockouts allowed, instantaneous replenishment, constant carrying rate - Optimization principle: marginal analysis equating ordering and holding costs at optimum - Relevance of item cost: fixed term D·C in total cost expression (excluded from optimization) - Renewal cycle concept: periodic reorder pattern determined by EOQ solution
Inventory management addresses two fundamental decisions: order quantity and order timing, aiming to minimize total cost of acquisition, holding, and potential shortage. The Economic Order Quantity (…