Two-State Bulk Queueing Models with Multiple Vacations

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The study focuses on the transient behavior of two-state bulk queueing models featuring an intermittently available server who can take breaks or address urgent tasks when the queue is non-empty. It explores scenarios with multiple vacations, where the server takes a vacation upon finding the system empty, and non-exhaustive service, allowing the server to begin vacations even with customers waiting. These dynamics provide insights into the efficiency and performance of queueing systems under varying operational conditions.