Burger Dome sells hamburgers, cheeseburgers, french fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 35 customers per hour. Burger Dome also studied the order-filling process and found that a single employee can process an average of 47 customer orders per hour. Burger Dome is concerned that the methods currently used to serve customers are resulting in excessive waiting times and a possible loss of sales. Management wants to conduct a waiting line study to help determine the best approach to reduce waiting times and improve service. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system compare with a two- server waiting line system with a shared queue? Compare the average number of customers waiting, average number of customers in the system, average waiting time, and average time in the system. (Assume that the probability distribution for the service time follows an exponential probability distribution. Round your answers to four decimal places.) (a) average number of customers waiting dedicated queue shared queue (b) average number of customers in the system dedicated queue shared queue (c) average waiting time (in minutes) dedicated queue shared queue min min (d) average time in the system (in minutes) dedicated queue min shared queue min (e) performance assessment Burger Dome is primarily concerned about the ---Select--- outperforms the competing process. On this measure, the -Select--- ✓ process

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 11PPS
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Burger Dome sells hamburgers, cheeseburgers, french fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert
selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome
food service staff. Thus, customers wait in line to place and receive their orders.
Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 35 customers per hour. Burger Dome also studied the order-filling
process and found that a single employee can process an average of 47 customer orders per hour. Burger Dome is concerned that the methods currently
used to serve customers are resulting in excessive waiting times and a possible loss of sales. Management wants to conduct a waiting line study to help
determine the best approach to reduce waiting times and improve service.
Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join.
Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system compare with a two-
server waiting line system with a shared queue? Compare the average number of customers waiting, average number of customers in the system, average
waiting time, and average time in the system. (Assume that the probability distribution for the service time follows an exponential probability distribution.
Round your answers to four decimal places.)
(a) average number of customers waiting
dedicated queue
shared queue
(b) average number of customers in the system
dedicated queue
shared queue
(c) average waiting time (in minutes)
dedicated queue
shared queue
min
min
(d) average time in the system (in minutes)
dedicated queue
min
shared queue
min
(e) performance assessment
Burger Dome is primarily concerned about the ---Select---
outperforms the competing process.
On this measure, the ---Select---
process
Transcribed Image Text:Burger Dome sells hamburgers, cheeseburgers, french fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 35 customers per hour. Burger Dome also studied the order-filling process and found that a single employee can process an average of 47 customer orders per hour. Burger Dome is concerned that the methods currently used to serve customers are resulting in excessive waiting times and a possible loss of sales. Management wants to conduct a waiting line study to help determine the best approach to reduce waiting times and improve service. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system compare with a two- server waiting line system with a shared queue? Compare the average number of customers waiting, average number of customers in the system, average waiting time, and average time in the system. (Assume that the probability distribution for the service time follows an exponential probability distribution. Round your answers to four decimal places.) (a) average number of customers waiting dedicated queue shared queue (b) average number of customers in the system dedicated queue shared queue (c) average waiting time (in minutes) dedicated queue shared queue min min (d) average time in the system (in minutes) dedicated queue min shared queue min (e) performance assessment Burger Dome is primarily concerned about the ---Select--- outperforms the competing process. On this measure, the ---Select--- process
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