Shauna’s Fast-food Service is considering operating a drive-up window food-service operation. Assume that customer arrivals follow a Poison probability distribution, with an arrival rate of 24 cars per hour and the service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive to the service window to pay for and receive their orders. The following three service alternatives are being considered:A single-server operation in which one employee fills the order and takes the money from the customer. The average service time for this alternative is 2 minutes.A single-server operation in which one employee fills the order while a second employee takes the money from the customer. The average service time for this alternative is 1.25 minutesA two-server operation with two service windows and two employees. The employee stationed at each window fills the order and takes the money from customers arriving at the window. The average service time for this alternative is 2 minutes for each server. Answer the following questions and recommend one of the design optionsRespond to the following:What is the probability that no cars are in the system?What is the average number of cars waiting for service?What is the average number of cars in the system?

Service rate is the rate at which the customers are being served by the worker in the organizational…

Answered: What is the probability that no cars…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Shauna’s Fast-food Service is considering operating a drive-up window food-service operation. Assume that customer arrivals follow a Poison probability distribution, with an arrival rate of 24 cars per hour and the service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive to the service window to pay for and receive their orders. The following three service alternatives are being considered:

A single-server operation in which one employee fills the order and takes the money from the customer. The average service time for this alternative is 2 minutes.
A single-server operation in which one employee fills the order while a second employee takes the money from the customer. The average service time for this alternative is 1.25 minutes
A two-server operation with two service windows and two employees. The employee stationed at each window fills the order and takes the money from customers arriving at the window. The average service time for this alternative is 2 minutes for each server. Answer the following questions and recommend one of the design options

Respond to the following: