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..il AT&T; 3:05 AM 1496 EM345 Spring18 Lecture3 Exercis [1] A single bay car was

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Question

..il AT&T; 3:05 AM 1496 EM345 Spring18 Lecture3 Exercis [1] A single bay car wash with a Poisson arrival rate and an exponential service time has cans arriving on averape of 10 minutes apart and an average service time of 4 mintes. Whal is the system utilization? Customers arrive at a music store at an average of 1 per minute (Poisson arivals) The service rate is 15 custonmers per hour (exponential service times). What is the minimum number of servers needed to keep the waiting time in the system under 5 minutes? Acme Poultry Processing processes chickens for fast food resturants. The chickens arrive trom the farms on trucks, in cages, at a rate of 8 trucks per hour according to the Poisson distribution The quality standards of Poultry Processing roquire that the chickens be processes within 30 minutes, which includes the time from when the trucks arrive until the chickens are finished processing What is the maximam averape processing ratc (in truckloads per hour) that must be designed for the machine, in ceder to ensure that the cages will be processed on the average, in 30 minutes or less. Assume peocessing time is exponentially distributod Cars arrive at a single bay car wash on the average of 6 per hour accoeding to the Peisson distribution. The wash time is a comstant 4 minutes. What i is the average number of cars in linc 1 of 1 Previous Next 58 Courses Calendar To Do Notifications Messages

Explanation / Answer

1)

lambda = 1/10
mu = 1/4
system utilization = lambda/mu = (1/10)/(1/4)
= 4/10
= 0.4

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