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.
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This research has been supported in part by the Natural Science and Engineering Council of Canada through Grant A5639.
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Liu, L., Kashyap, B.R.K. & Templeton, J.G.C. Queue lengths in the GIX/MR/∞ service system. Queueing Syst 22, 129–144 (1996). https://doi.org/10.1007/BF01159397
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DOI: https://doi.org/10.1007/BF01159397