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Queue lengths in the GIX/MR/∞ service system (1996)

Liu, L. ; Kashyap, B. R. K. ; Templeton, J. G. C.

Springer

Queueing systems 22 (1996), S. 129-144

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ISSN: 1572-9443

Keywords: Infinite server ; batch arrival ; batch service ; analytical results

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science

Notes: Abstract Service systems with queueing often have both batch arrivals and batch services. This paper focuses on the number of busy servers and waiting customers in theGI X/MR/∞ system. For the number of busy servers, we obtain a recursive relation for the partial binomial moments in terms of matrices and explicit expressions for the marginal binomial moments. Special cases are also discussed to provide a more heuristic understanding of the model.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01159397

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