A request for assistance at the reference desk at a library is submitted at an average rate of 9 per hour (Poisson distribution). At the reference desk, there is only one librarian and he can serve customers in 6 minutes on average (exponential distribution). Calculate according to the queuing model M/M/1: 1. Server utilization 2. Expected number of customers in queue 3. Expected waiting time of customer in queue
A request for assistance at the reference desk at a library is submitted at an average rate of 9 per hour (Poisson distribution). At the reference desk, there is only one librarian and he can serve customers in 6 minutes on average (exponential distribution). Calculate according to the queuing model M/M/1: 1. Server utilization 2. Expected number of customers in queue 3. Expected waiting time of customer in queue
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
Related questions
Question
A request for assistance at the reference desk at a library is submitted
at an average rate of 9 per hour (Poisson distribution). At the reference desk, there is only one librarian
and he can serve customers in 6 minutes on average (exponential distribution). Calculate according to
the queuing model M/M/1:
1. Server utilization
2. Expected number of customers in queue
3. Expected waiting time of customer in queue
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Marketing
Marketing
ISBN:
9780357033791
Author:
Pride, William M
Publisher:
South Western Educational Publishing
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Marketing
Marketing
ISBN:
9780357033791
Author:
Pride, William M
Publisher:
South Western Educational Publishing