Which of the following is false about the Assumptions of queuing model? The elapsed time since the start of the queue is sufficiently long so that system in stable Service discipline followed in FCFS The mean arrival rate is less than the mean service rate The waiting space available for customers in the queue is finite.

In an M/MA queueing system, the arrival rate is 8 customers per hour and the service rate is 11 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round your answers to 3 decimal places.) a. What is the utilization? Utilization b. What is the expected number of customers in the system (L)? Number of customers c. What is the expected waiting time (in hours) for the system (W)? Waiting time(in hours)

The exponential distribution is often used to model what in a queuing system?

In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds. Assume the Poisson and exponential distributions. a. What is λ? b. What is μ? c. Find probability of no units in the system. d. Find average number of units in the system. e. Find average time in the waiting line. f. Find average time in the system. g. Find probability that there is one person waiting. h. Find probability an arrival will have to wait. Please show a corrct solution and answer. Thank you.

is queuing theory   Five drilling machines at Al Hamriya steel is maintained by Lumina maintenance service with 2 service Engineers. The drilling machines require Maintenance at the of 20 per hour. The engineers fix machine in 2.4 mins every time it goes out of service: 1. What is the probability that no drilling machine needs service ?

Customers enter the camera department of a store at an average rate of six per hour. The department is staffed by one employee, who takes an average of six minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. (Use the Excel spreadsheet Queue Models.) a-1. As a casual observer, how many people would you expect to see in the camera department (excluding the clerk)? Note: Round your answer to 2 decimal places.   a-2. How long would a customer expect to spend in the camera department (total time)? Note: Do not round intermediate calculations. Round your answer to the nearest whole number.   b. What is the utilization of the clerk? Note: Do not round intermediate calculations. Round your answer to the nearest whole number.   c. What is the probability that there are more than two people in the camera department (excluding the clerk)? Note: Round your intermediate calculations to 3 decimal places and final answer to 1…

1. Customers arrive at a single-server queueing system according to a Poisson process at a mean rate of 30 per hour. If the server works continuously, the number of customers that can be served in an hour has a Poisson distribution with a mean of 50. Determine the proportion of time during which no one is waiting to be served.

Suppose that 8 customers per hour arrive at a bank during the 11a-1p. "lunch-hour", period. It is observed that there are, on average, 6 customers in the bank during this same "lunch-hour" period. Which of the following statements are true assuming the system is in steady- state during that period? (Hint: What law govern's the behavior of systems in "steady-state"?) The average customer spends 45 minutes in the bank. The bank must have at least 2 bank tellers. There is always a line of customers waiting during the 11a-1p period. The average service time (not including waiting) at the bank is 3/4 of an hour. Exactly two answers are correct. None of the answers are correct.

Which of the following is not a valid queuing model based on the Kendall notation? Select one: A. M/M/0 B. M/M/3 C. D/M/1 D. G/D/1- E. D/D/2

Customers arrive to a local bakery with an average time between arrivals of5 minutes. However, there is quite a lot of variability in the customers’ arrivals, asone would expect in an unscheduled system. The single bakery server requires anamount of time having the exponential distribution with mean 4.5 minutes to servecustomers (in the order in which they arrive). No customers leave without service.d.  Calculate the probability a customer will spend more than an hour at the bakery(time in queue plus service time).