On the service system MX/G/∞ |
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Authors: | D.F. Holman M.L. Chaudhry B.R.K. Kashyap |
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Affiliation: | 1. Royal Military College of Canada, Kingston, Ontario, Canada;2. Indian Institute of Management, Calcutta, India |
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Abstract: | In the present paper we consider the service system MX/G/∞ characterized by an infinite number of servers anda general service time distribution. The customers arrive at the system in groups of size X, which is a random variable, the time between group arrivals being exponentially distributed. Using simple probability arguments, we obtain probability generating functions (p.g.f.'s) of the number of busy servers at time t and the number that depart by time t. Several other properties of these random variables are also discussed. |
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