Cars arrive at a local JLUBE franchise at the rate of 1 every 12 minutes.Service times are exponentially distributed with an average of 15 minutes.Jack Burns,the JLUBE owner,has decided to open a second work bay,i.e. ,make the shop into a two-channel system.Under this new scheme,the total time an average customer spends in the system will be
A)37 minutes.
B)2.1 minutes.
C)9.6 minutes.
D)33.3 minutes.
E)24.6 minutes.

Question

Quizplus · Accepted Answer

With two service channels, the system becomes an M/M/2 queue. The arrival rate is 5 cars per hour (1 every 12 minutes), and the service rate is 4 cars per hour per channel (1 every 15 minutes). Using the M/M/2 queue formula, the average time in the system is approximately 24.6 minutes.

Cars Arrive at a Local JLUBE Franchise at the Rate