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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!

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!

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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