SIMULATION

Question 2 [20] At a certain COVID19 vaccination site in Pretoria the arrival times (in minutes) and service times (in minutes) for the first 10 people arriving for vaccination were as follows: Arrival times 10; 29; 61; 93; 97; 152; 176; 219; 302; 343 Service times 38; 30; 53; 46; 16; 48; 22; 10; 70; 28. Service time includes data capturing done by support staff and the actual vaccination. Upon arrival, a person either enters service if support staff is free or joins the waiting line. There is always one person for data capturing (support staff) and one nurse on duty responsible for vaccination. 2.1 Simulate the system using the arrival (arrival times, not interarrival times) and service times given. Present your calculations in the table below. 2.2 How much spare time, if any, does the nurse have? 2.3 What is the average time a person waits in line to be served? 2.4 Compute the time-average number of people in the line. TM SS WL AT (Next Arr. time) DT (Next Depart. time) 0 0 0 10 9999 [8] [4] [4] [4] Event Person #