INSTRUCTION: Answer all questions 1. (a) Differentiate between the single-server and the multiple-server waiting line systems. (b) List three components of a waiting line system. (7+3 = 10 marks) 2. For each of the following queuing systems, indicate whether it is a single-or multiple-server model, the queue discipline, and whether its calling population is infinite or finite. a. Hair salon b. Bank c. Laundromat d. Doctor's office e. Advisor's office f. Airport runway g. Service station h. Copy centre i. Team trainer j. Mainframe computer (30 marks) 3. The new accounts loan officer of the Millennium Commercial Bank interviews all customers for new accounts. The customers desiring to open new accounts arrive at the rate of 4 per hour, according to a Poisson distribution, and the accounts officer spends an average of 12 minutes with each customer, setting up a new account. A. Determine the operating characteristics (Po, L, L4, W, Wq and Pw) for this system. (3*6 = 18 marks) B. Add an additional accounts officer to the system described in this problem so that it is now a multiple-server queuing system with two channels and determine the operating characteristics required in part A. (5*6 = 30 marks) (Total 88 marks)