Customers arrive to a service center according to a Poisson process with a rate of 30 per

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Customers arrive to a service center according to a Poisson process with a rate of 30 per hour. Service times are exponentially distributed with a mean of 12 minutes.

a. What is the minimum number of servers required for system stability?

b. Using your answer in (a), what is the probability that the system is empty?

c. What is the average waiting time in the queue?

d. What is the probability that a customer will wait in the queue for more than 10 minutes?

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Service Systems Engineering And Management

ISBN: 978-0367781323

1st Edition

Authors: A. Ravi Ravindran ,Paul M. Griffin ,Vittaldas V. Prabhu

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Question Posted: Feb 27, 2024 03:10 AM

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Customers arrive to a service center according to a Poisson process with a rate of 30 per

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Lets solve each part of the problem step by step a To determine the minimum number of servers required for systemstability we can use the formula for ...View the full answer

Service Systems Engineering And Management

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