- Author
-
Chaiken, J. M.
- Title
- Number of Emergency Units Busy at Alarms Which Require Multiple Servers.
- Coporate
- Rand Institute, New York City, NY
- Report
-
R-531-NYC/HUD
March 1971
20 p.
- Keywords
-
fire fighting vehicles
|
emergencies
- Identifiers
- exponential service times; general service-time distributions
- Abstract
- 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.