Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Consider a (small) data center with 2 servers. The server center also has 3 users, of which one user can only use one server
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]
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