Analysis of State Dependent Vacation Queues with Threshold Gated Service Policy

In this article, the authors introduce a simple approach for modeling and analyzing a SII G / / 1 queue where the server may take repeated vacations. When a busy period ends, the server takes a vacation of random duration. At the end of each vacation, the server may either start a new vacation or resume service. If a queue is found of less than n customers, the server will always take a new vacation. If there are at least n customers in queue, the server provides services to those customers after a brief set-up time. The authors obtain several performance measures of the system, including the mean and second moment of the cycle time, the number of customers in a cycle of service, and the expected delay experienced by a customer. DOI: 10.4018/978-1-4666-0933-4.ch016