What is the probability that there are more than two vehicles in the system?
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A crew of mechanics at the Highway Department Garage repair vehicles that break down at an average of λ = 8 vehicles per day (approximately Poisson in nature). The mechanic crew can service an average of μ = 11 vehicles per day with a repair time distribution that approximates an exponential distribution. The crew cost is approximately $300 per day. The cost associated with lost productivity from the breakdown is estimated at $150 per vehicle per day (or any fraction thereof).
What is the probability that there are more than two vehicles in the system?
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- A crew of mechanics at the Department of Transportation garage make minor repairs to snowplows during the winter. The snowplows break down at an average rate of 5 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 8 vehicles per day with a repair time distribution that approximates a negative exponential distribution. Assume an 8 hour day. What are the chances that 3 vehicles are in the service system? Group of answer choices 9% 38% 63% 19%A crew of mechanics at the Highway Department garage repair vehicles that break down at an average of 3 vehicles every 12 minutes (approximately Poisson in nature). The mechanic crew can service an average of 3 vehicles every 10 minutes with a repair time distribution that approximates an exponential distribution. The crew cost is approximately $150 per hour. The cost associated with lost productivity from the breakdown is estimated at $50 per hour. Which is cheaper, the existing system with one service crew or a revised system with two service crews? Note that the average waiting time for adding the second crew is 0.01.Martin Weir is studying a waiting line for a 9 server system at Market Fresh Foods. The company wants to be sure that its customers enjoy a quality service experience. Martin has studied operations for the past 2 weeks and has determined that on average, a customer arrives every 0.0061 Minute(s) and the average service is completed in 0.0282 Minute(s). Answer the following:. Offered workload rate =
- A). A crew of mechanics at the Highway Department Garage repair vehicles that break down at an average of λ = 8 vehicles per day (approximately Poisson in nature). The mechanic crew can service an average of μ = 11 vehicles per day with a repair time distribution that approximates an exponential distribution. The crew cost is approximately $300 per day. The cost associated with lost productivity from the breakdown is estimated at $150 per vehicle per day (or any fraction thereof). Which is cheaper, the existing system with one service crew, or a revised system with two service crews? B). A crew of mechanics at the Highway Department Garage repair vehicles that break down at an average of λ = 7 vehicles per day (approximately Poisson in nature). The mechanic crew can service an average of μ = 11 vehicles per day with a repair time distribution that approximates an exponential distribution. What is the utilization rate for this service system? What is the average time before the…Virginia's Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on an average of λ = 4 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 system = 0.67 (round your response to two decimal places). b) The average downtime for a broken machine = 0.50 days (round your response to two decimal places). c) The average number of machines waiting to receive service at any given time = 1.33 machines (round your response to three decimal places). d) The probability that there is more than one machine that is in the system = 0.444 (round your response to three decimal places). The probability that there are more than two machines that are in the system = 0.296 (round your response to three decimal places). The probability that there are more than three machines…A copier is able to operate for an average of 200 hours between repairs, and the mean repair time is two hours. Determine the availability of the copier.
- A crew of mechanics at the Department of Transportation garage make minor repairs to snowplows during the winter. The snowplows break down at an average rate of 4 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 10 vehicles per day with a repair time distribution that approximates a negative exponential distribution. Assume an 8 hour day. What is the system utilization? Group of answer choices 0.60 0.17 0.40 0.67A crew of mechanics at the Highway Department garage repair vehicles that break down at an average of 15 vehicles per hour (approximately Poisson in nature). The mechanic crew can service an average of 3 vehicles every 10 minutes with a repair time distribution that approximates an exponential distribution. The crew cost is approximately $100 per hour. The cost associated with lost productivity from the breakdown is estimated at $25 per vehicle per hour (or any fraction thereof). Which is cheaper, the existing system with one service crew, or a revised system with two service crews? The average waiting time for adding the second crew is 0.02.Failsafe Textiles employs three highly skilled maintenanceworkers who are responsible for repairing the numerous in-dustrial robots used in its manufacturing process. A workercan fix one robot every 8 hours on average, with an exponen-tial distribution. An average of one robot fails every 3 hours,according to a Poisson distribution. Each down robot coststhe company $100.00 per hour in lost production. A newmaintenance worker costs the company $80.00 per hour insalary, benefits, and equipment. Should the manager hireany new personnel? If so, how many people? What would yourecommend to the manager, based on your analysis?
- Virginia's Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on an average of λ = 2 per 8-hour workday (approximately Poisson in nature). The crew can service an average of μ = 10 machines per workday, with a repair time distribution that resembles the negative exponential distribution. a) The utilization rate of this service system = 0.200.20 (round your response to two decimal places). b) The average downtime for a broken machine = . 40.40 days (round your response to two decimal places).Virginia's Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on an average of λ = 2 per 8-hour workday (approximately Poisson in nature). The crew can service an average of μ = 10 machines per workday, with a repair time distribution that resembles the negative exponential distribution. a) The utilization rate of this service system = 0.200.20 (round your response to two decimal places). b) The average downtime for a broken machine = 0.130.13 days (round your response to two decimal places). c) The average number of machines waiting to receive service at any given time = nothing machines (round your response to three decimal places).1. (First System) A crew of mechanics at the NCDOT repair NCDOT vehicles that break down at an average rate of λ = 4 vehicles per day. The crew can service an average of µ = 5 vehicles per day. The crew cost is $400 per day. A bureaucrat in Raleigh has determined the cost associated with lost productivity due to breakdowns is $300/day. (This includes the entire time the vehicle is unavailable—from the time it breaks down until the time it is back on the road.) 2. (Second System) This same bureaucrat thinks it would be a good idea to have two repair crews instead of one. Vehicles still break down at the same rate of 4/day. Each crew can still service 5 /day. Assume that each crew handles half of the breakdowns. Each crew costs $400/day. The cost associated with the lost productivity of an idle vehicle is still $300/day. Which system do you recommend and why?