(Solved): Q2. A small jewelry shop in Kadky has place for only 3 customers. The shop is operated by two ca ...

Q2. A small jewelry shop in Kadıköy has place for only 3 customers. The shop is operated by two cashiers, Ali and Mert. If there is one customer in the shop, Ali is in charge of serving her. Whenever there are two or more customers; Mert joins Ali to help him with the service. It is known that customers arrive at this shop in accordance with Poisson process with a mean value of 6 customers per hour. The service times of Ali and Mert are both exponential with mean values of 15 minutes each; and once a customer is served by either cashier, she leaves the shop. a) Define the states, draw the rate diagram and give the steady-state rate equations for the above process. b) Find the average time that an entering customer spends in the shop.