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An insurance intermediary opens a new branch in New York area. It is expected 1 customer every 6 minutes, according to the Poisson distribution. The duration of each client service is 15 minutes, according to the distribution negative exponential. The company intends to hire as few employees ensuring that there are no more than 3 people in the queue. a) Identify and characterize the type of queuing system pear associated with the stated problem. (justify) b) Determine the minimum number of employees in order to fulfill the objective. For the remaining questions, assume the number of employees determined in question B.

An insurance intermediary opens a new branch in New York area. It is expected 1 customer every 6 minutes, according to the Poisson distribution. The duration of each client service is 15 minutes, according to the distribution negative exponential. The company intends to hire as few employees ensuring that there are no more than 3 people in the queue. a) Identify and characterize the type of queuing system pear associated with the stated problem. (justify) b) Determine the minimum number of employees in order to fulfill the objective. For the remaining questions, assume the number of employees determined in question B.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Operations Research: Queues An insurance intermediary opens a new branch in New York area. It is expected 1 customer every 6 minutes, according to the Poisson distribution. The duration of each client service is 15 minutes, according to the distribution negative exponential. The company intends to hire as few employees ensuring that there are no more than 3 people in the queue. a) Identify and characterize the type of queuing system pear associated with the stated problem. (justify) b) Determine the minimum number of employees in order to fulfill the objective. For the remaining questions, assume the number of employees determined in question B. c) How long, on average, does each customer spend in the store? d) What is the probability that a customer is waiting for service? e) What is the probability that a customer will wait a maximum of 2 minutes to be served? and more than 6 minutes?
Transcribed Image Text:Operations Research: Queues An insurance intermediary opens a new branch in New York area. It is expected 1 customer every 6 minutes, according to the Poisson distribution. The duration of each client service is 15 minutes, according to the distribution negative exponential. The company intends to hire as few employees ensuring that there are no more than 3 people in the queue. a) Identify and characterize the type of queuing system pear associated with the stated problem. (justify) b) Determine the minimum number of employees in order to fulfill the objective. For the remaining questions, assume the number of employees determined in question B. c) How long, on average, does each customer spend in the store? d) What is the probability that a customer is waiting for service? e) What is the probability that a customer will wait a maximum of 2 minutes to be served? and more than 6 minutes?
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