Please solve exact, acurate with complete details A crew of mechanics at the Highway Departmentgarage repair vehicles that break down at an averageof 3 vehicles every 12 minutes (approximatelyPoisson in nature). The mechanic crew can servicean average of 3 vehicles every 10 minutes with arepair time distribution that approximates anexponential distribution. The crew cost isapproximately $100 per hour. The cost associatedwith lost productivity from the breakdown isestimated at $50 per hour. Which is cheaper, theexisting system with one service crew or a revisedsystem with two service crews? Note that theaverage waiting time for adding the second crewis 0.02.

Waiting Time It is the interval between the actual stages of an operation. A company's primary goal…

Answered: A crew of mechanics at the Highway…

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 26P

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A) A crew of mechanics at the Highway Department Garage repair vehicles that break down at an average of λ = 7.5 vehicles per day (approximately Poisson in nature). The mechanic crew can service an average of μ = 12 vehicles per day with a repair time distribution that approximates a negative exponential distribution. (a) What is the utilization rate for this service system? (b) What is the average time before the facility can return a breakdown to service? (c) How much of that time is spent waiting for service? (d) How many vehicles are likely to be in the system at any one time?
Melanie is the manager of the Clean Machine car washand has gathered the following information. Customers arriveat a rate of eight per hour according to a Poisson distribution.Th e car washer can service an average of ten cars per hour withservice times described by an exponential distribution. Melanie isconcerned about the number of customers waiting in line. She hasasked you to calculate the following system characteristics:(a) Average system utilization(b) Average number of customers in the system(c) Average number of customers waiting in line
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).
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…
Suggest THREE (3) methods that an operations manager can adapt to enhance their customers' waiting experience rather than simply reducing the waiting time.
Explain in what kind of situations is queuing analysis is most important under waiting line models ? It's from operations management domain don't sent it to other subjects plz !
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 (round your response to two decimal places)
Amanda Fall is starting up a new house painting business, Fall Colors. She has been advertisingin the local newspaper for several months. Based on inquiries and informal surveys of the localhousing market, she anticipates that she will get painting jobs at the rate of four per week(Poisson distributed). Amanda has also determined that it will take a four-person team ofpainters an average of 0.7 week (exponentially distributed) for a typical painting job. Determine the number of teams of painters Amanda needs to hire so that customers will have to wait no longer than 2 weeks to get their houses painted.
During the early morning hours, customers arrive at a branch post office at an average rate of 45 per hour (Poisson), while clerks can handle transactions in an average time (exponential) of 4 minutes each. If clerk cost is $30 per hour and customer waiting time represents a "cost" of $20 per hour, how many clerks can be justified on a cost basis? Select one: O a. 3 O b. 6 O c. 4 O d. 5
With a 10% availability buffer, a contact centre has been handling 900 consumers per day. Customers have shown dissatisfaction with the amount of time it takes for their call to be replied. How much additional space is needed if the call centre manager wishes to double the capacity cushion?

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