An EOQ Model for Time Deteriorating Items with Infinite & Finite Production Rate with Shortage and Complete Backlogging
M. Vijayashree* and R. Uthayakumar
Department of Mathematics, The Gandhigram Rural Institute – Deemed University, Gandhigram - 624 302. Dindigul, Tamil Nadu, India.
ABSTRACT
This manuscript deals in developing an EOQ model for time deteriorating items and allowing shortages in the inventory. These shortages are considered to be completely backlogged. We have held that the production rate is finite and infinite. In this manuscript, we developed EOQ models for perishable products which consider continuous deterioration of a utility product and introduce an exponential penalty cost and linear penalty cost function. The theoretical expressions are obtained for optimum cycle time and optimum order quantity. The significant centre of our paper is to build up the EOQ model for time-deteriorating items utilizing penalty cost with finite and infinite production rate. The mathematical solution of the model has been done to obtain the optimal solution of the problem. The result is demonstrated with the help of mathematical example. To conclude, sensitivity study is carried out with respect to the key parameters and some managerial implications are also included. All the theoretical developments are numerically justified.
KEYWORDS
Inventory, Time deteriorating items, Shortage, Penalty cost.
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