modeling and simulation question The mean time between arrivals of customers in a bank is 4 minutes. If a customer has already arrived in the bank, a) What is the probability that the next arrival will come after 5 minutes, if it follows exponential distribution? b) What is the probability that 6 customers will arrive in one-hour interval, if it follows Poisson distribution? II) Assume that the inter-arrival time is Poisson process distributed with a mean of 10 per hour and the service time has the exponential distribution with one customer every 5 minutes, and the system operates 8 hours a day. Assume you have M/M/1 queuing model, find (a) The utilization of the system. (b) The expected number in the queue. (c) The average waits in the queue. (d) The average waits in the system. (e) The number in the system. (f) The average cost per day from waiting if you assume the cost is JD10 for each hour lost by a customer waiting.

modeling and simulation question The mean time between arrivals of customers in a bank is 4 minutes. If a customer has already arrived in the bank, a) What is the probability that the next arrival will come after 5 minutes, if it follows exponential distribution? b) What is the probability that 6 customers will arrive in one-hour interval, if it follows Poisson distribution? II) Assume that the inter-arrival time is Poisson process distributed with a mean of 10 per hour and the service time has the exponential distribution with one customer every 5 minutes, and the system operates 8 hours a day. Assume you have M/M/1 queuing model, find (a) The utilization of the system. (b) The expected number in the queue. (c) The average waits in the queue. (d) The average waits in the system. (e) The number in the system. (f) The average cost per day from waiting if you assume the cost is JD10 for each hour lost by a customer waiting.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter20: Queuing Theory

Section20.9: Finite Source Models: The Machine Repair Model

Problem 5P

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