Question: answered question A which is lambda so the same as the arrival rate, please help with question b and c? The typing sometimes changes the
Consider a system like the one shown in the picture. Customers arrive at rate to a three-server queuing system (as shown above). Upon being served by station 1, denoted by [Q1, S1], a customer is sent over station 2, denoted as [Q2, S2] with probability q, or sent over to station 3,[Q3,S3], with probability 1 -q. Furthermore, customers done with service at [Q2,S2] leave the system with probability 1r, which means that a customer leaving such station can be sent back to start the process all over again at [Q1, S1] with probability r. a. [12 points] What is the rate at which customers leave station 1, [Q1, S1]? (Hint: call such rate and use question 1 above to find it) b. [9 points] What is the rate at which customers leave the system via station 3,[Q3,53] ? c. 19 points] If it has been known that queue Q1 holds L1 customers on average (time average), what is the average time W1 a customer spends in queue Q1
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
