Question: * PLEASE ANSWER ALL 6 QUESTIONS * Consider an open queueing network with three stations having the parameter values shown below. Station j j=1 s;

* PLEASE ANSWER ALL 6 QUESTIONS *

Consider an open queueing network with three stations having the parameter values shown below. Station j j=1 s; Hj 1 25 1 30 8 1 20 6 i= 1 0 0 .5 0.4 Pii i = 2 0.2 0 0.3 i=3 0.4 0.3 | 0 j=3 4 (1). Find the total arrival rate l; for each state j. (2). Find the steady state probability Pr; and system size L; for each state j. (3). What is the probability that there are more than one customer in the whole system? (4). Compute the expected total number of customers in the system. (5). Compute the expected total waiting time (including service times) for a customer. (6). After leaving the station 2, what is the probability that the customer directly leaves the entire system

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