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.)
This report is part of the RAND Corporation Report series. The report was a product of the RAND Corporation from 1948 to 1993 that represented the principal publication documenting and transmitting RAND's major research findings and final research.
Permission is given to duplicate this electronic document for personal use only, as long as it is unaltered and complete. Copies may not be duplicated for commercial purposes. Unauthorized posting of RAND PDFs to a non-RAND Web site is prohibited. RAND PDFs are protected under copyright law. For information on reprint and linking permissions, please visit the RAND Permissions page.
The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.