A single-server Markovian queue with unlimited capacity is fed by 5 customers per minute on average, and it can server, on average, 8 customers per minute. (a) What is the probability that a customer arriving to the system finds its queue empty? (b) How many customers are the, on average, in the queue?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 12EQ: 12. Robots have been programmed to traverse the maze shown in Figure 3.28 and at each junction...
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A single-server Markovian queue with
unlimited capacity is fed by 5 customers per
minute on average, and it can server, on
average, 8 customers per minute.
(a) What is the probability that a customer
arriving to the system finds its queue empty?
(b) How many customers are the, on average,
in the queue?
Transcribed Image Text:A single-server Markovian queue with unlimited capacity is fed by 5 customers per minute on average, and it can server, on average, 8 customers per minute. (a) What is the probability that a customer arriving to the system finds its queue empty? (b) How many customers are the, on average, in the queue?
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