Consider the shoe shining shoP,
A customer will be served on chair 1 first, then on chair 2. The service times at the two chairs are assumed to be independent exponential random variables with rate μ1 and μ2. Potential customer arrive in accordance with a Poisson process having rate λ, and that a potential customer will enter the shop only if both chairs are empty. We use a Markov chain with states {0, 1, 2} to model this process, and the interpretation of these states are: no customer (0), a customer one chair 1 (1), a customer on chair 2 (2). Compute limiting probabilities.