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In this paper, a fresh attempt has been made to apply a computational approach to obtain the optimal total cost of the system as an important performance measure for the machine interference model with general arrival distribution. *

In this paper, we mainly aim to compute the optimal inventory in the phase wise supply chain for queued customers in the interval of lower and upper bounds with particular life of the items. Important performance measures such as total optimal cost of the system and total expected delivery have also been computed by applying the dynamic programming and Drichlet theorem. Finally, numerical demonstration and sensitivity analysis have also been presented to gain the better perspective of the model.

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