The time between arrivals (inter-arrival time) at a drive-through window of a fa
ID: 3322993 • Letter: T
Question
The time between arrivals (inter-arrival time) at a drive-through window of a fast-food restaraunt follows the distribution given below. The service time distribution is also given in the table below. Use the random numbers provided to simulate the activity of the first six arrivals. Assume that the window opens at 11:00 a.m. and the first arrival after this is based on the first inter-arrival time generated. This is, if the "Time Between Arrivals" for the first customer is 5 minutes, then his/her arrival time is 11:05 a.m.
Random numbers for inter-arrivals: 14, 74, 27, 03, 66, 49
Random numbers for service-times: 88, 32, 36, 24, 52, 39
1) Complete the following look-up table for the inter-arrival time. What are the simulated inter-arrival times? Note that the random numbers for inter-arrival times are 14, 74, 27, 03, 66, and 49.
Simulated inter-arrival times are: ____, ____, ____, ____, ____, ____,
2) Complete the following look-up table for the service time. What are the simulated service times? Note that the random numbers for service times are 88, 32, 36, 24, 52, and 39.
Simulated service times are: ____, ____, ____, ____, ____, ____,
3) Simulate this system for 6 customer arrivals. Notice that you need to first design the table. You might not need all 8 coloumns. Extra columns are provided in case you need to use them.
4) What time does the sixth customer leave the system?
Time Between Arrivals Probability Service Time (in minutes) Probability 1 0.2 1 0.3 2 0.3 2 0.5 3 0.3 3 0.2 4 0.2Explanation / Answer
1) Look up table for inter arrival time
The simulated inter arrival time is given in following table
2) Look up table for service time
The simulated service time is given in following table
time between arrival Probability C.F. Alloting R.No 1 0.2 0.2 00-19 2 0.3 0.5 20-49 3 0.3 0.8 50-79 4 0.2 1 80-99Related Questions
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