Reference no: EM133419894

Question

Consider a shoe shine shop establishment consisting of two chairs, chair 1 and chair 2. A customer upon arrival goes initially to chair 1 where his shoes are cleaned and polished is applied. After this is done the customer moves on chair 2 where polish is buffed. The service time at two chairs is assumed to be independent random variables that are exponentially distributed with respective rates μ1 and μ2. Suppose that potential customers arrive in accordance with a Poisson process having rate λ. A potential customer will enter the system only if both chairs are empty. Determine the proportion of customers enter the system.