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Analysis of the discrete-time \(\text{G}^{\text{(G)}}\)/Geom/c queueing model. (English) Zbl 1046.68955

Gregori, Enrico (ed.) et al., NETWORKING 2002. Networking technologies, services, and protocols; performance of computer and communication networks; mobile and wireless communications. 2nd international IFIP-TC6 networking conference, Pisa, Italy, May 19–24, 2002. Proceedings. Berlin: Springer (ISBN 3-540-43709-6). Lect. Notes Comput. Sci. 2345, 757-768 (2002).
Summary: This paper presents the steady-state analysis of a discrete-time infinite-capacity multiserver queue with \(c\) servers and independent geometrically distributed service times. The arrival process is a batch renewal process, characterized by general independent batch interarrival times and general independent batch sizes. The analysis has been carried out by means of an analytical technique based on generating functions, complex analysis and contour integration. Expressions for the generating functions of the system contents during an arrival slot as well as during an arbitrary slot have been obtained. Also, the delay in case of a first-come-first-served queueing discipline has been analyzed.
For the entire collection see [Zbl 0992.68524].

MSC:

68U99 Computing methodologies and applications
68M20 Performance evaluation, queueing, and scheduling in the context of computer systems
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