• A PRODUCTION INVENTORY SYSTEM WITH DIFFERENT RATES OF PRODUCTION AND RETRIALS

K. P. JOSE†, SALINI S. NAIR*

Abstract


This paper deals with a production inventory system with retrial of customers under  policy. The time between additions of two successive items by production to the inventory is exponentially distributed. When the inventory level lies between 0 and , items are produced at higher rate. The higher production rate will reduce customers’ loss in the absence of inventory. Arrival of customers is according to a Poisson process and service times are exponentially distributed. An arriving customer who finds the server busy or inventory level zero, proceeds to an orbit of infinite capacity and retry from there.  Inter-retrial times follow an exponential distribution. Some important system performance measures related to the model are defined and analyzed numerically.  A suitable cost function is constructed and its optimum values corresponding to different parameters are calculated graphically. The optimum  pair is also obtained.


Keywords


Production Inventory, Retrial, Matrix Analytic Method, Different Production Rates

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