2. Consider a bank with a single teller serving customers. The inter-arrival time between 6 customers and the service time for each customer are as follows: Inter- Customer arrival time (minutes) 0 1 3 2 1 1 2 3 4 5 6 4 Service time (minutes) 3 4 2 4 3 4 a. What is the average waiting time in queue for the 6 (six) customers? b. c. Compute the utilization (in %) of the teller! Compute the average time customer spends in the system! d. If the pattern of inter-arrival time and service time remain the same for the long run, explain what will happen to the system!

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 8P
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This is System Modeling & Simulation question
3. Referring to problem No. 2, compute:
a. Average inter-arrival-time and average service-time for all customers.
b. Average arrival-rate and average service-rate that occur in the system.
c.
Is your simulation in problem No. 2 can be considered as stochastic? Explain (if yes or if
no) !
Transcribed Image Text:3. Referring to problem No. 2, compute: a. Average inter-arrival-time and average service-time for all customers. b. Average arrival-rate and average service-rate that occur in the system. c. Is your simulation in problem No. 2 can be considered as stochastic? Explain (if yes or if no) !
2. Consider a bank with a single teller serving customers. The inter-arrival time between 6
customers and the service time for each customer are as follows:
Inter-
Customer arrival time
(minutes)
0
1
3
2
1
4
1
2
3
4
5
6
Service
time
(minutes)
3
4
2
4
3
4
a. What is the average waiting time in
queue for the 6 (six) customers?
b.
c. Compute the utilization (in %) of the
teller!
Compute the average time customer
spends in the system!
d. If the pattern of inter-arrival time and
service time remain the same for the
long run, explain what will happen to the
system!
Transcribed Image Text:2. Consider a bank with a single teller serving customers. The inter-arrival time between 6 customers and the service time for each customer are as follows: Inter- Customer arrival time (minutes) 0 1 3 2 1 4 1 2 3 4 5 6 Service time (minutes) 3 4 2 4 3 4 a. What is the average waiting time in queue for the 6 (six) customers? b. c. Compute the utilization (in %) of the teller! Compute the average time customer spends in the system! d. If the pattern of inter-arrival time and service time remain the same for the long run, explain what will happen to the system!
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