Question

7.4 During lunch hour, customers arrive at a fast-food restaurant at the rate of T20 customers per hour. The restaurant has one line, with three workers taking food orders at independent service stations. Each worker takes an exponentially dis- tributed amount of time-on average 1 minute-to service a customer. Let X, denote the number of customers in the restaurant (in line and being serviced) at time t. The process (Xt)PO Is a continuous-time Markov chain. Exhibit the generator matrix

Answer 1

Solution:

Given that:  

   customers arrive at a fast-food restaurant .In that restaurant three workers taking food orders at independent service stations.

Customer rate 120/-