Consider a (small) data center with 2 servers. The server center also has 3 users, of...

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Consider a (small) data center with 2 servers. The server center also has 3 users, of which one user can only use one server at a time. A single user is modeled as an on-off process, where the idle period is exponentially distributed with the parameter v = 1 (1/hour) and the service time (activity period) is exponentially distributed with the parameter = 1/2 (1/hour), and both are mutually independent of everything. If the incoming user is blocked, a new idle period begins. Let x(t) = {0, 1, 2} be the number of users in the system, which is a Markov process. a) Draw the state transition diagram of the process. Which model is it with Kendall's notation? b) Solve the equilibrium distribution of the process X(t). [Answer: 0 = 1/19] c) What is the probability that the customer will be blocked upon arrival, i.e., call blocking Bc? [Answer: Bc = 4/9] Consider a (small) data center with 2 servers. The server center also has 3 users, of which one user can only use one server at a time. A single user is modeled as an on-off process, where the idle period is exponentially distributed with the parameter v = 1 (1/hour) and the service time (activity period) is exponentially distributed with the parameter = 1/2 (1/hour), and both are mutually independent of everything. If the incoming user is blocked, a new idle period begins. Let x(t) = {0, 1, 2} be the number of users in the system, which is a Markov process. a) Draw the state transition diagram of the process. Which model is it with Kendall's notation? b) Solve the equilibrium distribution of the process X(t). [Answer: 0 = 1/19] c) What is the probability that the customer will be blocked upon arrival, i.e., call blocking Bc? [Answer: Bc = 4/9]