A service facility consists of one server who can serve an average of two customers per hour (service times are exponential). An average of three customersper hour arrive at the facility (interarrival times are assumed to be exponential). The system capacity isthree customers: two waiting and one being served.a. On average, how many potential customers enter the system each hour?b. What is the probability that the server is busy at atypical point in time?
A service facility consists of one server who can serve an average of two customers per hour (service times are exponential). An average of three customersper hour arrive at the facility (interarrival times are assumed to be exponential). The system capacity isthree customers: two waiting and one being served.a. On average, how many potential customers enter the system each hour?b. What is the probability that the server is busy at atypical point in time?
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
Related questions
Question
A service facility consists of one server who can serve an average of two customers per hour (service times are exponential). An average of three customers
per hour arrive at the facility (interarrival times are assumed to be exponential). The system capacity isthree customers: two waiting and one being served.
a. On average, how many potential customers enter the system each hour?
b. What is the probability that the server is busy at atypical point in time?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
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