Limit Analysis of Oscillating Batch Arrival M^[x]/G/1 Systems with Finite Capacity: EMC Approach

An oscillating M/G/1 Systems with finite capacity and batch arrivals is considered under partial batch acceptance strategy. Applying the Theory of Markov Regenerative Processes and resorting to Markov chain embedding the limit distributions of the number of customers in the system is obtained where no assumption on the batch size distribution is made.