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...
icon
Related questions
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 11 images

Blurred answer
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.