Abstract
In this paper, an M/M/1 queueing system with a single working vacation and impatient customers is considered. In this system, the server has a slow rate to serve during a working vacation and customers become impatient due to a slow service rate. The server waits dormant to the first arrival in case that the server comes back to an empty system from a vacation, thereafter, opens a busy period. Otherwise, the server starts a busy period directly if the queue system has customers. The customers’ impatient time follows independently exponential distribution. If the customer’s service has not been completed before the customer becomes impatient, the customer abandons the queue and doesn’t return. The model is analyzed and various performance measures are derived. Finally, several numerical examples are presented.
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Yu, Xm., Wu, Da., Wu, L., Lu, Yb., Peng, Jy. (2013). An M/M/1 Queue System with Single Working Vacation and Impatient Customers. In: Qi, E., Shen, J., Dou, R. (eds) The 19th International Conference on Industrial Engineering and Engineering Management. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38391-5_81
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DOI: https://doi.org/10.1007/978-3-642-38391-5_81
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