Simulation

The probability distributions for inter-arrival and service times for the help desk for a loan application center are given below. Assume that the first customer calls at time 9AM and that no one is being served or waiting to be served when the first customer calls. Simulate the arrival and service for 10 customers for one and two service representatives starting at 9AM. Determine the average customer waiting time for each of the two situations? The probability distributions for inter-arrival time and service time are given below. Write random numbers in the tables below. Use the table on the next page for simulating the one-representative case and the two-representative cases. Inter-arrival time (min)Probability  10.2012020.20214030.10415050.10516070.206180100.2081100  Service time (min)Probability  30.4014050.30417080.157185150.058690200.059195250.0595100 

Problem

5

The probability distributions for inter-arrival and service times for the help desk for a loan application center are given below. Assume that the first customer calls at time

9

AM and that no one is being served or waiting to be served when the first customer calls. Simulate the arrival and service for

1

0 customers for one and two service representatives starting at 9AM. Determine the average customer waiting time for each of the two situations? The probability distributions for inter-arrival time and service time are given below. Write random numbers in the tables below. Use the table on the next page for simulating the one-representative case and the two-representative cases.

1

0.20

0.10

0.20

0.20

Inter-arrival time (min)		Probability
			1				0. 2 0		20
	2		21			4 0
		3		0. 10		41	50
		5	51	6 0
	7	61	8 0
	10	81		100

Probability

3

1

40

5

41

20

0.05

0.05

95

100

Service time (min)
0.40
0.30		70
	8	0. 15	71	85
15			0.05		86	90
	91		95
25

Random Number

Service Begins

Service Ends

Service Begins

Service Ends

Waiting Time

1

40

–

2

–

–

3

91

86

–

–

–

–

5

7

70

21

8

–

–

10

59

–

–

Two-employee Case
One-employee Case	Representative 1	Representative 2
Customer Number		Random Number	Inter-arrival Time	Call Time	Service Time			Service Begins			Service Ends		Waiting Time
9:00												–
45	17
4	31	38
37	55
6	97	13
19		59
9	68	29
77