Affiliation:
1. Department of Mathematics, Maharaja Manindra Chandra College, Kolkata 700003, India
2. Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah 711103, India
Abstract
A Continuous production control inventory model is developed for a deteriorating item having shortages and variable production cycle. It is assumed that the production rate is changed to another at a time when the inventory level reaches a prefixed level and continued until the inventory level reaches the level . The demand rate is assumed to be constant, and the production cycle T is taken as variable. The production is started again at a time when the shortage level reaches a prefixed quantity . For this model, the total cost per unit time as a function of , , S, and T is derived. The optimal decision rules for , , S, and T are computed. The sensitivity of the optimal solution towards changes in the values of different system parameters is also studied. Results are illustrated by numerical examples.
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8 articles.
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