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.
Chapter12: Queueing Models
Section12.4: Important Queueing Relationships
Problem 6P
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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
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
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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