The site is scheduled to run from 8:00 am to 5:00 pm and has 9,000 citations today. You can start drawing vaccines into syringes at 7:00 a.m. subway. at a rate of 1000 per hour, and each vial provides six syringe draws, with each draw requiring 100 seconds. At 8:00 a.m. patients begin arriving at a rate of 1,250 per hour until noon, when the rate drops to 1,000 per hour for the rest of the day How many people do you need to take out syringes? If the lanes can keep up with the arrival rate, when will they run out of vac

The site is scheduled to run from 8:00 am to 5:00 pm and has 9,000 citations today. You can start drawing vaccines into syringes at 7:00 a.m. subway. at a rate of 1000 per hour, and each vial provides six syringe draws, with each draw requiring 100 seconds. At 8:00 a.m. patients begin arriving at a rate of 1,250 per hour until noon, when the rate drops to 1,000 per hour for the rest of the day How many people do you need to take out syringes? If the lanes can keep up with the arrival rate, when will they run out of vac

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 52P

See similar textbooks

Similar questions

Netflix is a DVD movie rental company. They stock 50 DVDs of a recent blockbuster movie available for rental. Their rental fee is $4 per DVD per day. The inter-arrival time between rental requests for this movie is 2.5 hours, on average, with a standard deviation of 2.5 hours. Demand is steady throughout a 24-hour day (there is no evidence of other arrival patterns). Assume that if all copies of the DVD are rented, then customers are willing to wait for the next one to become available. Also, assume shipping is instantaneous (the shipping time is zero days). A DVD is rented, on average, for 5 days with a standard deviation of 3 days. What is the average number of unrented DVDs in Netflix’s warehouse? Hint: consider the average utilization.
How does an event improve the smooth queue management?
At the British Grand Prix’s Silverstone Circuit’s 3 July 2022 race, it was another battle royal of sorts as the Formula 1 drivers battled for maximum points in the series. The fans seeking to purchase tickets started arriving from 10:00 am running all through 1:30 pm, when the gates closed in readiness for the race. The fans were observed to arrive at an average of 2,048 each hour, and were being served at a rate of 533 every fourteen minutes. Some fans had already purchased their tickets earlier via the ticket sales agency e-commerce portal. The Silverstone gallery has a 150,000 seating capacity. The gallery was 95% full for this grace. Given the enthusiasm of the fans that were trickling in, this was going to be the race of the month. required; iv). On average, how long does a fan spend in the circuit ticketing system? v). What is the probability of having more than 5 but less than 12 fans in the circuit ticketing system? Determine the efficiency of the Silverstone circuit…
International Cranberry Uncooperative (ICU) is a competitor to the National Cranberry Cooperative (NCC). At ICU, barrels of cranberries arrive on trucks at a rate of 150 barrels per hour and are processed continuously at a rate of 100 barrels per hour. Trucks arrive at a uniform rate over eight hours, from 6:00 a.m. until 2:00 p.m. Assume the trucks are sufficiently small so that the delivery of cranberries can be treated as a continuous inflow. The first truck arrives at 6:00 a.m. and unloads immediately, so processing begins at 6:00 a.m. The bins at ICU-can hold up to 200 barrels of cranberries before overflowing. If a truck arrives and the bins are full, the truck must wait until there is room in the bins. If each truck can hold 25 barrels, how many trucks are waiting at 2 pm? 8 trucks 10 trucks 6 trucks 9 trucks
Long lines of patients wait for CAT scanning service in a hospital. Patients arrive for scans at a rate of 1.7 per hour. The average processing time for CAT service is 26 minutes per patient. Your summer internship is in the hospital where you are assigned to help analyze the bottleneck situation. One tool that you think can help evaluate the situation is a single server queueing model. Use the Single Server Queue Excel template to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places. What is the probability that the system is empty? What is the probability that a customer must wait for service? What is the average number of customers waiting for service in the queue? customer(s) What is the average wait time in the queue? hour(s) What is the average time spent in the system? hour(s)
In an M/MA queueing system, the arrival rate is 6 customers per hour and the service rate is 8 customers per hour.
A chemical plant stores spare parts for maintenance in a large warehouse. Throughout the working day, maintenance personnel go to the warehouse to pick up supplies needed for their jobs. The warehouse receives a request for supplies, on average, every 2 minutes (Poisson distributed). The average request requires 1.7 minutes to fill (exponential service times). Maintenance employees are paid $20 per hour, and warehouse employees are paid $12 per hour. The warehouse is open 8 hours each day. What is the optimal number of warehouse employees to hire? (Hint: Time spent by maintenance workers waiting in line for supplies should be considered an expense.) What is the total cost per hour (waiting plus warehouse employee labor cost) of your solution?
The manager of a bank wants to use an MyMys queueingmodel to weigh the costs of extra tellers against the costof having customers wait in line. The arrival rate is 60customers per hour, and the average service time is fourminutes. The cost of each teller is easy to gauge at the$11.50 per hour wage rate. However, because estimatingthe cost per minute of waiting time is difficult, the bankmanager decides to hire the minimum number of tellersso that a typical customer has probability 0.05 of waitingmore than five minutes in line.a. How many tellers will the manager use, given thiscriterion?b. By deciding on this many tellers as “optimal,” themanager is implicitly using some value (or some range of values) for the cost per minute of wait-ing time. That is, a certain cost (or cost range) would lead to the same number of tellers as sug-gested in part a. What is this implied cost (or cost range)?
Describe the implications for customer service and serverskills when using a single-line, single-server, single-phase waitingline system
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…
For a single-server queue of 10 customers whose arrival and service time is given below in the table. Complete the below given table. Customer Arrival Time ti Inter Arrival Time Ai=ti—ti-1 Service Begins (Sb) Delay Time (Di) Service Time (Si) Calculate Ci=ti+Di+Si 1 7:00 7:02 6 2 7:08 7:12 4 3 7:11 7:16 1 4 7:13 7:19 5 5 7:18 7:25 10 6 7:36 7:39 2 7 7:40 7:44 3 8 7:45 7:48 3 9 7:49 7:52 4 10 7:55 7:57 3 Find the average service time and average delay time. Average Service Time= Average Delay Time=
Which type of queuing presupposes that clients are served in what order?