Number of Emergency Units Busy at Alarms Which Require Multiple Servers

by Jan M. Chaiken

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Calls for service arrive at an infinite-server queue according to a mixture of Poisson processes. Service for each process occurs in a number of independent stages; stages are identified by the number of emergency units busy serving the call. Assuming arbitrary finite mean-service-time distributions, the distribution of the number of busy units at any time is determined, and the approach to a steady-state distribution is proved. (See also R-532, R-533, R-567.)

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