Question: A cafeteria serving line has a coffee urn from which customers serve themselves. Customers arrive randomly at a rate of three per minute. In serving

A cafeteria serving line has a coffee urn from which customers serve themselves. Customers arrive randomly at a rate of three per minute. In serving themselves, customers take random amount of time with average of 15 seconds.

a. How many customers would you expect to see on the average waiting in front of the coffee urn?

b. What is the average waiting time for one customer?

c. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 15 seconds, how does this change your answers to question a and b?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!

Queueing Theory (1.5 Points) A cafeteria serving line has a coffee urn from which customers serve themselves. Customers arrive randomly at a rate of three per minute. In serving themselves, customers...

(1.5 Points) A cafeteria serving line has a coffee urn from which customers serve themselves. Customers arrive randomly at a rate of three per minute. In serving themselves, customers take random...

A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of 4.0 per minute. In serving themselves, customers take...

-Spring 2021 Saved Help Save & Exit Submit Check my work A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate...

Question: A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of 2 . 0 per minute. In serving themselves,...

1.) Students arrive at the Administrative Services Office at an average of one every 8 minutes, and their requests take, on average, 6 minutes to be processed. The service counter is staffed by only...

A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of 2.0 per minute. In serving themselves, customers take...

How would you suggest that a dry cleaner build greater loyalty and retention with its best customers?

A 0.150 kg particle moves along an x axis according to x(t) = 13.00 + 2.00t + 4.00t2 3.00t3, with x in meters and t in seconds. In unit-vector notation, what is the net force acting on the particle...

Country Ovens is a family restaurant chain. Due to an unexpected road construction project, traffic passing by the Country Ovens restaurant in Newtown has significantly increased. As a result,...

As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes...