Marsha operates an espresso stand. Customers arrive randomly at a mean Pate of 30 per hour. The ustomer has an exponential distribution with a mean of 75 seconds.
Marsha operates an espresso stand. Customers arrive randomly at a mean Pate of 30 per hour. The ustomer has an exponential distribution with a mean of 75 seconds.
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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Question
Please fill out the data tables using the given information
![Marsha operates an espresso stand. Customers arrive randomly at a mean rate of 30 per hour. The time needed by Marsha to serve a
Customer has an exponential distribution with a mean of 75 seconds.
Click here for the Excel Data File
a. Use the Excel template for the M/G/1 model to find L, Lq, W, Wq, P. and Po.
Note: Round your answers to 3 decimal places.
L=
q=
W=
W₁ =
p=
Po=
Results
b. Suppose Marsha is replaced by an espresso vending machine that requires exactly 75 seconds to operate for each customer. Find
L, Lq, W, Wq, p, and Po.
Note: Round your answers to 3 decimal places.
|L=
Lq
W =
W₁ =
p=
Po=
Results](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03244c92-a045-4a82-adda-2cbd44aad997%2F561dec1b-1818-4749-8f5c-87daf5371fbe%2Fzm0usp8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Marsha operates an espresso stand. Customers arrive randomly at a mean rate of 30 per hour. The time needed by Marsha to serve a
Customer has an exponential distribution with a mean of 75 seconds.
Click here for the Excel Data File
a. Use the Excel template for the M/G/1 model to find L, Lq, W, Wq, P. and Po.
Note: Round your answers to 3 decimal places.
L=
q=
W=
W₁ =
p=
Po=
Results
b. Suppose Marsha is replaced by an espresso vending machine that requires exactly 75 seconds to operate for each customer. Find
L, Lq, W, Wq, p, and Po.
Note: Round your answers to 3 decimal places.
|L=
Lq
W =
W₁ =
p=
Po=
Results
![Template for the M/G/1 Queueing Model
|λ=
V/u=
G
8-
Data
(mean arrival rate)
(expected service time
(standard deviation)
#servers)
LE
≤
W =
W₂
P
P₁=
Results
Range Nar Cell
L
Lambda C4
Lq
Rho
OneOverM C5
15
8333355 858
Sigma
G4
Wa
G10
G7](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03244c92-a045-4a82-adda-2cbd44aad997%2F561dec1b-1818-4749-8f5c-87daf5371fbe%2Fn8wd7ch_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Template for the M/G/1 Queueing Model
|λ=
V/u=
G
8-
Data
(mean arrival rate)
(expected service time
(standard deviation)
#servers)
LE
≤
W =
W₂
P
P₁=
Results
Range Nar Cell
L
Lambda C4
Lq
Rho
OneOverM C5
15
8333355 858
Sigma
G4
Wa
G10
G7
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