A Concept on Order Quantity at Varying Cost in Variable Rate of Production Situation
The concept of EOQ is simply to tackle the management issues of inventory in various types of production systems. This is amongst the most popularly used models in the production houses for inventory. A major issue faced by stock manager is to design an effective policy for replacement, resulting outcome as lowest cost of inventory units. Traditional EOQ theory, assumes majorly two factors that is demand and per unit cost. It is assumed that demand remains constant and can be determined at any level. Secondly that per unit production cost does is not dependent on quantity of order for production. This study is based on a model for stock with multi-item and when per unit cost is dependent on demand and crashing cost of leading time is dependent on lead time. Hence, model has been formulated having constraints of orders and production cost. Unit cost of production is considered fuzzy variable. The jist problem for optimizing the annual total cost has been considered with Karush Kuhn-Tucker conditions method. Mathematical derivations and analysis have been made for one unit, along with testing done from Sensitivity analysis. Illustrations have been taken on random basis