Would you expect the Poisson distribution to be a good approximation of a) Runners crossing the finish line in the Boston Marathon? b) Arrival times of the students in your OSCM class?
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A: This is an example of M/M/1 type of queue. The calculations are done as follows:
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Q: In a queueing system, customers arrive once every 6 seconds (standard deviation = 5) and services…
A: Given data Arrival rate λ=16 Service rate μ=15 Coefficient of variations of the arrival time…
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A: Given that Arrival rate = 2 per hour Service rate = 3 per hour
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A: Simulation is a technique used to describe a given process by developing a model of it, and then…
Q: In a queueing system, customers arrive once every 4 minutes (standard deviation = 7) and services…
A: Given data Arrival rate of the customer (λ) = 14 Service rate of the customer (μ) = 13 Average…
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A: Note:- We’ll answer the first three subparts of the question since the exact one wasn’t specified.…
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A: Arrival rate (A or lambda) = 10 per hour Service rate (S or Mu) = 12 per hour
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A: THE ANSWER IS AS BELOW:
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A: Given- Arrival rate (λ)= 4 minutes = 60 min4= 15 customer/hr Service rate (μ)= 3 minutes = 60 min3=…
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A: Given data: Interval 50 to 110 seconds Lower limit = 50 range = 60
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Q: epair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is…
A: Given: Mean repair = 2hrs per call Mean arrival rate (λ) = 3per eight hour day i.e. 0.375 call per…
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A: Given Information: Arrival Time = 5 minutes Arrival Rate (λ) = 12 students per hour Service Time = 3…
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A: The given data: Arrival rate = 60 minutes Service rate = 30 minutes
Q: Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as…
A: Given- λ=the mean number of arrivals per time period=3360=0.55 per hour μ=the mean no. of customers…
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A: Given- Mean repair time = 2 hours per callMean arrival rate (λ) =3 per eight hour day = 38= 0.375…
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A:
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Q: In a queueing system, customers arrive once every 6 minutes (standard deviation = 7) and services…
A: Given, a = 1 customer every 6 min = 1/6 s = 1 customer every 4 min = 1/4 Utilization = (1/6)/(1/4) =…
Would you expect the Poisson distribution to be a good approximation of
a) Runners crossing the finish line in the Boston Marathon?
b) Arrival times of the students in your OSCM class?
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Then the company arranged for large U.S. retailers such as Walgreens, Albertsons, Kroger, and Safeway to accept packages for shipment and receive package delivery for customer pickup in thousands of store locations. This means people who want to send a package can head to a nearby retailer and ship where they shop, rather than making a separate trip to the FedEx location. It’s also a safe alternative for packages to be picked up by people who don’t want FedEx shipments left by the front door. Another service FedEx offers to small and mid-sized businesses, including retailers, is FedEx Fulfillment. The purpose is to expedite order fulfillment by having each business store its products in a FedEx warehouse. Then, when the business’s customers place orders, FedEx puts the products into boxes bearing the business’s own logo and ships directly to those customers. The business doesn’t need a separate warehouse or staff for fulfillment, and packages are on their way to customers more quickly because the products were in FedEx’s warehouse, ready to be packed and shipped. This service puts FedEx into direct competition with Amazon.com, which offers a similar service to merchants that sell through the online Amazon Marketplace. But it also gives businesses that don’t sell via Amazon a fast and professional fulfillment alternative. FedEx is careful to let customers know, through media and social-media announcements, when it anticipates that extreme weather or other conditions will cause delays or force it to halt pickups and deliveries. For the duration of Hurricane Irma, for example, FedEx said it would suspend deliveries in Florida. Some Florida customers who had ordered generators to be delivered via FedEx were unhappy, because they worried about being without power during and after the storm. 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How does FedEx’s money-back guarantee address customers’ concerns about heterogeneity?Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive- up teller window occur at random, with an arrival rate of 30 customers per hour or 0.5 customers per minute. Assume the Poisson probability distribution can be used to describe the arrival process. (a) What is the mean or expected number of customers that will arrive in a six-minute period? (b) Use the arrival rate in part (a) and compute the probabilities that exactly 0, 1, 2, and 3 customers will arrive during a six-minute period. (Round your answers to four decimal places.) X 0 1 2 3 P(x) (c) Delays are expected if more than three customers arrive during any six-minute period. What is the probability that delays will occur? (Round your answer to four decimal places.)given the following: A typical TSA agent at Piedmont Triad International Airport takes approximately 1.15 minutes to screeneach passenger that arrives at the security gate. During the day, a passenger arrives at the gate onaverage every 1.3 minutes. Both the service rate and arrival rate follow a Poisson distribution. Based onthis information and the assumption that only one screening line is open at the security gate, answer thefollowing questions with the given information: a) average number of passengers waiting in line to be screened is 7 b) average amount of time (in minutes) passengers spend waiting in line is .147 minutes c) average amount of time (in minutes) passengers spend in the screening system?.166 minutes 1. What is percent of the time does the typical TSA agent spend actively screening passengers? 2. Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45 minutes before a flight is expected to depart. If during this…
- The coefficient of variation for inter-arrival times of customers arriving at a sandwich shop is equal to 3. If the standard deviation of the inter-arrival times is 1 minute(s). What is the average inter-arrival time in minutes? Round answer to two decimal places.Analyze the following queueing management sysytem 1- traffic intensity of 0.3 in queueing system 2- The average time spends in the system =0.036 3-The average number of the customer in the system 0.43In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. What is the expected number of customers in the queue(Lq)? Note: Round your answer to 3 decimal places. What is the expected waiting time in the queue(Wq)?
- Granos, Inc. purchased new automated coffee vending machines, the Preso 2000. This Preso 2000 requires a constant 45 seconds to produce a coffee. It has been estimated that customers will arrive at the vending machine according to a Poisson distribution at an average of one every 50 seconds. To help determine the amount of space needed for the line in front of the vending machine, Granos, Inc. would like to know the expected average time in the system, the average line length (in costumers), and the average number of costumers in the system (both in line and at the vending machine).. An automobile dealer is planning a new custom service center to repair the microcomputer-based engine controls in new-model cars. With the new diag- nostic equipment they are installing, each job should take about 75 minutes to complete. The dealer plans to operate the center 8 hours per day. Preliminary estimates suggest that about 5 customers will bring their cars for repair each day. To analyze this situation, make the following assumptions: The customer arrivals form a Poisson process. Each job requires on average 75 minutes. We can ignore the time that the service center is closed. (That is, no arrivals occur during such gaps, and we don't count them in the total response time.) (a) Measure time in hours. In the terms of queueing theory, what are A, μ, and p? (b) Compute an estimate of the average total response time (which we call Ts). 2 (c) Estimate the average number of cars in the center (including those waiting as well as in service). (d) Suppose the average number of…In a queueing system, customers arrive once every 4 minutes (standard deviation = 7) and services take 3 minutes (standard deviation = 5.5). (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average time a customer will spend in the queue (in minutes)? minutes
- 3.) Consider an M/M/2 system with an arrival rate of 9 per minute and a service rate of 8 per minute. What is the probability at least one of the servers is busy? Give your answer as a decimal and take it to three decimal places.In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.) What is the expected waiting time in the system (W)? (Express the waiting time in hours, round your answer to 3 decimal places.) What is the expected number of customers in the queue(Lq)? (Round your answer to 3 decimal places.) What is the expected waiting time in the queue(Wq)? (Express the waiting time in hours, round your answer to 3 decimal places.)Lambda Mu Probability system is empty Average number waiting for service in the queue Average number in system (queue and in service) Average time waiting for service (time in queue) vaiting time in system (waiting time plus service time) Probability arrival has to wait n= bability of n units in the system (queue and in service) 10 12 0.167 4.167 5.000 0.417 0.500 0.833 3 0.096