A car servicing station has 2 bays where service can be offered simultaneously. Because of space limitation, only 4 cars are accepted for servicing. The arrival pattern is Poisson with 12 cars per day. The service time in both the bays is exponentially distributed with µ number of cars in the service station, the average number of cars waiting for service and the average time a car spends in the system = 8 cars per day per bay. Find the average

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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A car servicing station has 2 bays where service can be offered simultaneously.
Because of space limitation, only 4 cars are accepted for servicing. The arrival
pattern is Poisson with 12 cars per day. The service time in both the bays is
exponentially distributed with µ = 8 cars per day per bay. Find the average
number of cars in the service station, the average number of cars waiting for
service and the average time a car spends in the system.
Transcribed Image Text:A car servicing station has 2 bays where service can be offered simultaneously. Because of space limitation, only 4 cars are accepted for servicing. The arrival pattern is Poisson with 12 cars per day. The service time in both the bays is exponentially distributed with µ = 8 cars per day per bay. Find the average number of cars in the service station, the average number of cars waiting for service and the average time a car spends in the system.
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