OPERATIONS MANAGEMENT

simulation

TABLE TO COMPLETE

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9999 MEANS INFINITY

We consider the following self explanatory variables: TM = clock time of the simulation AT = scheduled time of the next arrival DT = scheduled time of the next departure SS = status of the server (1 = busy, 0 = idle) WL = length of the queue MX = length (in time units) of the simulation run IT = interarrival time ST = service time

Question 3 20] The following data are arrival times in minutes) and service times (in minutes) for the first 10 patients arriving at a dental clinic with one dentist on duty Upon arrival, a patient either enters service if the dentist is free or joins the waiting line When the dentist has finished work on a patient, the next one in line enters service Arrival times 12, 31, 63, 95, 99, 154, 178, 221, 304, 345 Service times 40,32, 55, 48; 18,50,23; 12, 72,30 (Note that the arrival times are given, not interarrival times) (a) Simulate the system and determine the departure times of the 10 patients Present your calculations in the table below 181 (b) How much spare time, if any, does the dentist have? (c) What is the average time a patient waits in line to be served? 4 (d) Compute the time-average number of patients in the line [4] Event Patient # TM SS 0 0 WLAT (Next Arr time) | DT (Next Depart time) 0 12 9999