Abstract
AbstractThis article presents an inventory system of production and multiple servers, each of which takes multiple vacations, and the vacations are subject to the Bernoulli vacation policy. The arrival of customers constitutes a Markovian Arrival Process (MAP) and the servers provide phase-type service. Once production starts, the time for making an item, and the vacation of each server are exponentially distributed. The manufacturing process begins when the level reaches a prefixed point and stops production when the inventory level reaches a maximum value S. Matrix Analytic Method (MAM) is used to obtain the algorithmic solution to the model. A suitable cost function based on performance measures is developed and numerical experiments are conducted under various combinations of arrival and service processes.KeywordsMarkovian arrival processMultiple serversMultiple vacationsCost analysisBernoulli vacation policy
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