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Question 10 The current 20 ticket machines at the railway station need maintenance on average twice per week (Poisson distributed). There are two mechanics, working 40 hours each, to maintain the ticket machines. The time to repair a ticket machine takes on average 4 hours with a variance of 0.5 hour. What is the Kendall notation of this system? a) M/M/2/20/20 b) M/G/2/20/20 c) M/G/2/22/22 d) M/M/2/22 Question 11 On average each 1.5 minutes a new traveler arrives to buy a ticket from the ticket desk. There are three employees who can help the travelers from a central queue. The time needed to sell a ticket to a traveler is on average 3 minutes. Both service times and arrival intervals are exponentially distributed. What is on average the total time that you need to get your ticket from the ticket desk? a) 3 minutes b) 5.8 minutes c) 1.3 minutes d) 4.3 minutes Question 12 Railway management will increase customer service by changing the service order in priority first. If travelers enter the central room with the ticket desk, the departure time of their train is denoted. Travelers with the earliest departure time are served first. In the table below the arrival time, departure time of the train and the service time are denoted for the first 8 travelers. What is the order in which the travelers are being served? Assume that there is only one employee to serve the travelers. Traveler Arrival time Departure time of train Service time hour.min hour.min minutes 1 8.00 8.15 5 2 8.02 8.15 3 3 8.05 8.10 3 4 8.06 8.20 4 5 8.08 8.23 3 6 8.12 8.20 5 7 8.15 8.25 4 8 8.16 8.30 3 a) 1-3-2-4-6-5 - 7 - 8 b) 3 - 1 - 2 - 4 - 6 - 5 - 7 - 8 c) 1 - 2 - 3 - 4 - 6 - 5 - 7 - 8 d) 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8