In an M/MA queueing system, the arrival rate is 8 customers per hour and the service rate is 11 customers per hour. (Round youranswers to 3 decimal places.)a. What is the probability that the server will be idle?Probabilityb. What is the probability of having exactly 4 customers in the system?Probabilityc. What is the probability of having 3 or fewer customers in the system?Probability

In an M/M/1 queueing system, there is a single server for the queue. The customers are served in the…

Answered: In an M/MA queueing system, the arrival…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 11P

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In an M/MA queueing system, the arrival rate is 9 customers per hour and the service rate is 12 customers per hour. (Round your answers to 3 decimal places.) a. What is the probability that the server will be idle? Probability b. What is the probability of having exactly 4 customers in the system? Probability c. What is the probability of having 3 or fewer customers in the system? Prubabty d. What is the expected number of customers in the queue(La)? (Round your answer to 3 decimal pleces.) Expected number of customers e. What is the expected waiting time in the queue(Ng)? (Express the waiting time in hours, round your answer to 3 decimal pleces) Expected wasting time
suppose tht a queueing system has two identical servers, and an exponential service-time distribution with a mean of 1/u=10minutes. furthermore, a customer has just arrived to find two in the system. how long would you expect him to wait before being able to start service? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
In an M/M/1 queueing system, the arrival rate is 8 customers per hour and the service rate is 11 customers per hour. (Round your answers to 3 decimal places.) What is the probability that the server will be idle? What is the probability of having exactly 4 customers in the system? What is the probability of having 3 or fewer customers in the system?
In an M/M/1 queueing system, the arrival rate is 7 customers per hour and the service rate is 12 customers per hour. Note: Round your answers to 3 decimal places. What is the probability that the server will be idle? What is the probability of having exactly 4 customers in the system? What is the probability of having 4 or fewer customers in the system?
The average time between the arrivals of the taxis arriving at the airport to pick up passengers has an exponential distribution, with an average of 10 minutes. a) What is the probability that a passenger will wait for the taxi less than 15 minutes? b) What is the probability that a passenger will wait for the taxi between 20 and 30 minutes? Solve using the cumulative distribution function H1
In an M/M/1 queueing system, the arrival rate is 7 customers per hour and the service rate is 12 customers per hour. (Round your answers to 3 decimal places) a. What is the probability that the server will be idle? b. What is the probability of having exactly 4 customers in the system? c. What is the probability of having 4 or fewer customers in the system?
Customers arrive at a one window drive according to a poison distribution with mean of 10 minutes and service time per customer is exponential with mean of 6 minutes. The space in front of the window can accommodate only three vehicles including the serviced ones. Other vehicles are have to wait outside this space. Calculate:a. A. probability that an arriving customer can drive directly to the space in front of the windowb. Probability that an arriving customer will have to wait outside the directed space c. How long an arriving customer is expected to wait before getting the service?

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