Performance measures of M(x) / G / 1 Queue with Balking
Journal Title: International Journal for Research in Applied Science and Engineering Technology (IJRASET) - Year 2014, Vol 2, Issue 11
Abstract
Queuing systems with batch arrivals / or batch services are common in a number of real situations. Baha (1986) has studied a batch arrival queue with server vacations in which the server takes a sequence of identically distributed vacations. The vacation sequence starts immediately when the system becomes empty and ends at the instant when the server finds at least one customer in the system at the end of a vacation. The Laplace Stieltje’s Transform (LST) of the distribution of queue waiting time has been obtained using the method of supplementary variables. An M(X) / G / 1 queue with server vacations has been studied in Lee in which the vacations are identically distributed and the main objective is the determination of optimal N-policy in addition to the determination of the system size distribution.
Authors and Affiliations
K. Ramya, S. Palaniammal, C. Vijayalakshmi
Keywords
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