Answered step by step
Verified Expert Solution
Question
1 Approved Answer
18-73. A small post office has two open windows. Customers arrive according to a Poisson distribution at the rate of 1 every 3 minutes.
18-73. A small post office has two open windows. Customers arrive according to a Poisson distribution at the rate of 1 every 3 minutes. However, only 80% of them seek service at the windows. The service time per customer is exponential, with a mean of 5 minutes. All arriving customers form one line and access available windows on a FIFO basis. (a) What is the probability that an arriving customer will wait in line? (b) What is the probability that both windows are idle? (c) What is the average length of the waiting line? (d) Would it be possible to offer reasonable service with only one window? Explain.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started