Question: Solve the following problem using M/M/1 queueing model analytically: Consider a service facility with a single server and assume M/M/1 queueing model, for ? values of [0.1, 0.2, 0.3, 0.4,...

Question: Solve the following problem using M/M/1 queueing model analytically:

Consider a service facility with a single server and assume M/M/1 queueing model, for ? values of [0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9] and ? value of 4.

Find the below steady state parameters:

• ??: Steady-state probability of having ? customers in system, assume ? = [0,1,2,3,4,5,6,7,8,9].


• ?: Long-run time-average number of customers in system.


• ??: Long-run time-average number of customers in queue.


• ?: Long-run average time spent in system per customer.


• ??: Long-run average time spent in queue per customer.