What does the arrival rate need to be for Bobby to be busy 85 percent of the time?
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Bobby, another enterprising barber, is thinking about advertising in the local newspaper because he is idle 50 percent of the time. Currently, customers arrive, on average, every 50 minutes.
What does the arrival rate need to be for Bobby to be busy 85 percent of the time? (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.)
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- Bobby, another enterprising barber, is thinking about advertising in the local newspaper because he is idle 45 percent of the time. Currently, customers arrive, on average, every 40 minutes. What does the arrival rate need to be for Bobby to be busy 85 percent of the time?Bobby, another enterprising barber, is thinking about advertising in the local newspaper since he is idle 45 percent of the time. Currently, customers arrive, on average, every 40 minutes. What does the arrival rate need to be for Bobby to be busy 85 percent of the time? Note: Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.103) please help me with this please!! Bobby, another enterprising barber, is thinking about advertising in the local newspaper since he is idle 35 percent of the time. Currently, customers arrive, on average, every 30 minutes. What does the arrival rate need to be for Bobby to be busy 90 percent of the time?Note: Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.
- Bobby the Barber is thinking about advertising in the local newspaper since he is idle 45 percent of the time. Currently, customers arrive on average every 30 minutes. What does the arrival rate need to be for Bobby to be busy 85 percent of the time?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.b. Calculate how long customers spend on average to complete their transactionsat the bakery (time in queue plus service time). What percentage of that time isspent queueing?Tony’s Barbershop is run, owned, and operated by Anthony Jones, who has been cutting hairfor more than 20 years. Anthony does not take appointments, so the arrival pattern of customers is essentially random. Traditionally, the arrival rate had been about one customer every50 minutes. Two months ago, the local paper ran an article about Anthony that improved business substantially. Currently, the arrival rate is closer to one customer every 35 minutes. Haircutsrequire an average of 25 minutes, but the times vary considerably depending on customerneeds. A trim might require as little as 5 minutes, but a shampoo and styling could take as longas an hour or more. For this reason, the exponential distribution seems to provide a reasonablygood fit of the service time distribution.Anthony’s customers have always been patient, but ever since business picked up, somehave complained that the wait is too long. Anthony is considering taking his cousin Marvin intothe business to improve customer…
- Students arrive at the administrative services office at an average of one every 15 minute, and their request take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy who works eight hours per day. Assume poisson arrivals and exponential service times a) what is the probability that am arriving student will find at least one other student waiting in line?Mom and Pop own and operate the Fuzzy Belly Deli. On average, customers arrive at the deli every 6 minutes. Pop fulfills their orders one at a time. It takes him an average of 3 minutes to fulfill each order. Customers then proceed to the cash register, where Mom receives their payment. Mom loves to chat and is somewhat slow in operating the cash register, taking an average of 4 minutes to receive payment from each customer. Assume that customer interarrival times, as well as order fulfillment and payment times are exponentially distributed. What is the throughput of the deli's operation? What is the capacity of the deli's operation? On average, how long does a customer spend at the deli from the time she arrives until her order is fulfilled by Pop?Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of two per hour. It will take Benny an average of 20 minutes to give a haircut. Based on these figures, find the following: Part (a): The average number of customers waiting. Arrival Time, λ =2 customers per hour Service Time, μ = 20 minute, or 60/20= 3 customer per hour Lq = (2)2 / 3*(3-2) = 1.333 customers Part (b): The average time a customer waits. Wq= 1.333/2=0,665 \~ 0,67 or 40 minutes Part (c): The average time a customer is in the shop. LS = 2/ 3-2 =2 customers. WS = 2/2 = 1 hour Part (d): The average utilization of Benny’s time. P= λ/ μ = 2/3=0,666 percent ~ 0,67 % Benny the Barber (see Question 1) is considering the addition of a second chair. Customers would be selected for a haircut on a FCFS basis from…
- Lenny, a graduate research assistant "moonlights" at the short order counter in the student union snack bar in the evenings. He is the only one on duty at the counter during the hours he works. Arrivals to the counter seem to follow the Poisson Distribution with a mean of 8 per hour. Each customer is served one at a time and the service time follows an exponential distribution with a mean of 5 minutes. How long will a student wait in line, on average?Workers arrive at a tool crib at a rate of 30 per hour. Clerks who are employed to hand out the tools, can each serve 9 customers per hour & they earn $12 per hour, while workers make $30 per hour. What is the optimal number of clerks & what are the associated costs?Which type of queuing presupposes that clients are served in what order?