Transient solution of an M/M/1 vacation queue with a waiting server and impatient customers
(2017). Transient solution of an M/M/1 vacation queue with a waiting server and impatient customers. EKB Journal Management System, 25(3), 337-342. doi: 10.1016/j.joems.2016.09.002
. "Transient solution of an M/M/1 vacation queue with a waiting server and impatient customers". EKB Journal Management System, 25, 3, 2017, 337-342. doi: 10.1016/j.joems.2016.09.002
(2017). 'Transient solution of an M/M/1 vacation queue with a waiting server and impatient customers', EKB Journal Management System, 25(3), pp. 337-342. doi: 10.1016/j.joems.2016.09.002
Transient solution of an M/M/1 vacation queue with a waiting server and impatient customers. EKB Journal Management System, 2017; 25(3): 337-342. doi: 10.1016/j.joems.2016.09.002

Transient solution of an M/M/1 vacation queue with a waiting server and impatient customers

Journal of the Egyptian Mathematical Society
Volume 25, Issue 3, 2017, Pages 337-342    PDF (324.87 K)
DOI: 10.1016/j.joems.2016.09.002
Abstract
Recently, Ammar [1] has discussed the transient behavior of a multiple vacations queue with impatient customers. In this paper, a similar technique is used to derive a new elegant explicit solution for an M/M/1 vacation queue with impatient customers and a waiting server, where the server is allowed to take a vacation whenever the system is empty after waiting for a random period of time. If the server does not return from the vacation before the expiry of the customer impatience time, the customer abandons the system forever. Moreover, the formulas of mean and variance expressed in terms of the obtained possibilities for this model.
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