The Burger Dome is a fast-food restaurant that is currently appraising its customer service. In its current operation, an employee takes a customer’s order, tabulates the cost, receives payment from the customer, and then fills the order. Once the customer’s order is filled, the employee takes the order of the next customer waiting for service. Assume that time between each customer’s arrival is an exponential random variable with a mean of 1.35 minutes. Assume also that the time for the employee to complete the customer’s service is an exponential random variable with mean of 1 minute. Use the BurgerDome.xlsx template to complete a simulation model for the waiting line at Burger Dome for a 14-hour work day. Using the summary statistics gathered at the bottom of the spreadsheet model, answer the following questions. What is the average wait time experienced by a customer?   What is the longest wait time experienced by a customer?   What is the probability that a customer waits more than 2 minutes?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.4: Important Queueing Relationships
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Please show in excel. The template is provided in the image. This is for a two-server system, not one. 

 

The Burger Dome is a fast-food restaurant that is currently appraising its customer service. In its current operation, an employee takes a customer’s order, tabulates the cost, receives payment from the customer, and then fills the order. Once the customer’s order is filled, the employee takes the order of the next customer waiting for service. Assume that time between each customer’s arrival is an exponential random variable with a mean of 1.35 minutes. Assume also that the time for the employee to complete the customer’s service is an exponential random variable with mean of 1 minute. Use the BurgerDome.xlsx template to complete a simulation model for the waiting line at Burger Dome for a 14-hour work day. Using the summary statistics gathered at the bottom of the spreadsheet model, answer the following questions.

  1. What is the average wait time experienced by a customer?

     
  2. What is the longest wait time experienced by a customer?

     
  3. What is the probability that a customer waits more than 2 minutes?

A
C
E
F
H
J
K
Arrival time of a customer is
equal to arrival time of previous
customer plus time between
these two arrivals.
1
Burger Dome
If a customer arrives after at least one of the two
servers has become available the customer can begin is the time she begins service minus
service upon arrival. Otherwise, the customer has to
wait until one of the two servers becomes available.
The first available server is assigned the next
customer (with server 1 serving the customer if both
servers are idle upon a customer arrival). A server
becomes available after the customer which he is
The amount of time a customer waits
The time a customer completes service is
equal to the time that she started service
plus the service time.
2
her arrival time.
3
Parameters
serving completes service.
4 Hours to Simulate
5 Minutes to Simulate
14
840
6
The time a customer spends in the
system is the time she completes service
minus the time she arrived to the system.
7 Interarrival Time (exponential)
Service Time (exponential)
8
mean
1.4
minutes
mean
1.0
minutes
10 Model
11
Customer
Interarrival Time
Arrival Time
Begin Service Time
Waiting Time
Service Time
Completion Time
Time in System Server 1 Available Time
Server 2 Available Time
Customer
Transcribed Image Text:A C E F H J K Arrival time of a customer is equal to arrival time of previous customer plus time between these two arrivals. 1 Burger Dome If a customer arrives after at least one of the two servers has become available the customer can begin is the time she begins service minus service upon arrival. Otherwise, the customer has to wait until one of the two servers becomes available. The first available server is assigned the next customer (with server 1 serving the customer if both servers are idle upon a customer arrival). A server becomes available after the customer which he is The amount of time a customer waits The time a customer completes service is equal to the time that she started service plus the service time. 2 her arrival time. 3 Parameters serving completes service. 4 Hours to Simulate 5 Minutes to Simulate 14 840 6 The time a customer spends in the system is the time she completes service minus the time she arrived to the system. 7 Interarrival Time (exponential) Service Time (exponential) 8 mean 1.4 minutes mean 1.0 minutes 10 Model 11 Customer Interarrival Time Arrival Time Begin Service Time Waiting Time Service Time Completion Time Time in System Server 1 Available Time Server 2 Available Time Customer
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,