Question

Arrival Rate = 1/50 = 0.02 calls hour.

Service Rate= 1 hour (travel time) + 1.5 hour (repair time) =2.5 hours

With m = 1/ 2.5 = 0.4 hours per customers

** PLEASE SHOW HOW TO DO EQUATION **

OEI is satisfied that one service technician can handle the 10 existing customers. Use a waiting line model to determine the following information:

(a) probability that no customers are in the system,

(b) average number of customers in the waiting line,

(c) average number of customers in the system,

(d) average time a customer waits until the service technician arrives, (e) average time a customer waits until the machine is back in operation,

(f) probability that a customer will have to wait more than one hour for the service technician to arrive, and

(g) the total cost per hour for the service operation.

Answer 1