Customers arrive at a bakery at an average rate of 18 per hour on weekday mornings. Thearrival distribution can be described by a Poisson distribution with a mean of 18. Each clerkcan serve a customer in an average of three minutes; this time can be described by an exponential distribution with a mean of 3.0 minutes.a. What are the arrival and service rates?b. Compute the average number of customers being served at any time.c. Suppose it has been determined that the average number of customers waiting in lineis 8.1. Compute the average number of customers in the system (i.e., waiting in lineor being served), the average time customers wait in line, and the average time in thesystem.d. Determine the system utilization for M = 1, 2, and 3 servers.
Heat Exchangers
Heat exchangers are the types of equipment that are primarily employed to transfer the thermal energy from one fluid to another, provided that one of the fluids should be at a higher thermal energy content than the other fluid.
Heat Exchanger
The heat exchanger is a combination of two words ''Heat'' and ''Exchanger''. It is a mechanical device that is used to exchange heat energy between two fluids.
Customers arrive at a bakery at an average rate of 18 per hour on weekday mornings. The
arrival distribution can be described by a Poisson distribution with a mean of 18. Each clerk
can serve a customer in an average of three minutes; this time can be described by an exponential distribution with a mean of 3.0 minutes.
a. What are the arrival and service rates?
b. Compute the average number of customers being served at any time.
c. Suppose it has been determined that the average number of customers waiting in line
is 8.1. Compute the average number of customers in the system (i.e., waiting in line
or being served), the average time customers wait in line, and the average time in the
system.
d. Determine the system utilization for M = 1, 2, and 3 servers.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 14 images
