Oasis Corporation has a maintenance department that handles repair of electronic devices. The average rate of...
Soltan Security is a security company that retains a service crew to repair its vehicles. The vehicle breakdowns occur at a rate of 3 per day, and follow a Poisson process. The crew can service an average of 8 vehicles per day, with a repair time distribution that resembles the exponential distribution. a) What is the utilization rate of the service system? b) What is the average downtime for a vehicle that is broken down? c)How many vehicles are waiting...
The Acme Machine Shop has five machines that periodically break down and require service. The average time between breakdowns for any one machine is 4 days, distributed according to an exponential distribution. The average time to repair a machine is 1 day, distributed according to an exponential distribution. One mechanic repairs the machines in the order in which they break down. Use q.xls. a. Determine the probability that the mechanic is idle. (Hint: Pn is given in q.xls, and is...
Benny's Arcade has five video game machines. The average time between machine failures is 50 hours. Jimmy, the maintenance engineer, can repair a machine in 15 hours on average.The machines have an exponential failure distribution, and Jimmy has an exponential service-time distribution. a. Jimmy's utilization is . (Enter your response rounded to three decimal places.) b. The average number of machines out of service, that is, waiting to be repaired or being repaired is nothing machines. (Enter your response rounded...
Need help simulating this with excel. Thankyou. The Gigantic Mining Co. employs a maintenance crew to repair its machines as needed in its repair centre. Management now wants a simulation study done to analyse what the size of the crew should be, where the crew sizes under consideration are 2, 3, and 4 crew members. The time required by the crew to repair a machine has a uniform distribution over the interval from 0 to twice the mean, where the...
Virginia's Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on an average of λ 3 per 8-hour workday (approximately Poisson in nature). The crew can service an average of μ-6 machines per workday, with a repair time distribution that resembles the negative exponential distribution. a) The utilization rate of this service system50 (round your response to two decimal places) ) The average downtime for a broken mchnedays(round your response to two decimal places Enter...
Assume that for a gas and car wash station one car can be serviced at a time. The arrivals follow a Poisson probability distribution, with an arrival rate of 1 car every 10 minutes and the service times follow an exponential probability distribution, with a service rate of 8 cars per hour. What is the probability that the station will be idle? What is the average number of cars that will be waiting for service? What is the average time...
Huang’s television-repair service receives an average of 8 TV sets per 8-hour day to be repaired. The service manager would like to be able to tell customers that they can expect their TV back in 5 days. What average repair time per set will the repair shop have to achieve to provide 5-day service on the average? (Assume that the arrival rate is Poisson distributed and repair times are exponentially distributed.)
Huang’s television-repair service receives an average of 9 TV sets per 6-hour day to be repaired. The service manager would like to be able to tell customers that they can expect their TV back in 4 days. What average repair time per set will the repair shop have to achieve to provide 4-day service on the average? (Assume that the arrival rate is Poisson distributed and repair times are exponentially distributed.) (Round answer to 2 decimal places, e.g. 2.75.) Average...
(3). How is the steady state probability distribution changed? Problem 2 There are three machines and two mechanics in a factory. The break time of each machine is exponentially distributed with A1 (per day). The repair time of a broken machine is also exponentially distributed with a mean of 3 hours. (Mechanics work separately). (1). Construct the rate diagram for this queueing system. (be careful about the arrival rate An (2). Set up the rate balance equations, then solve for...
3. For a single-server, single-line, single-phase waiting line system, where l represents the mean arrival rate of customers and m represents the mean service rate, what is the formula for the average utilization of the system? a) l / m b) l / (m-l) c) l2 / m(m-l) d) 1 / (m-l) e) l / m(m-l) 4. For a single-server, single-line, single-phase waiting line system, where l represents the mean arrival rate of customers and m represents the mean service...