a. What percentage of time is Judy idle? (Round your answer to 1 decimal place.) b. How much time, on average, does a student spend waiting in line? (Do not round intermediate calculations. Round your answer to 1 decimal place.) c. How long is the (waiting) line on average? (Round your answer to 2 decimal places.)
Q: An airline is planning to open a satellite ticket desk in a new shopping plaza, staffed byone ticket…
A:
Q: Movie Tonight is a typical video and DVD movie rental outlet for home viewing customers. During the…
A:
Q: A bank teller takes 2.4 minutes, on average, to serve a customer. What would be the hourly service…
A: The average time is 2.4 min.
Q: Shoprite is a busy center for residents in East Legon and its surrounding community. Assume that 2…
A: i. Excel Formulation-
Q: In a multiple-channel system, what is the rationale for having customers wait in a single line, asis…
A: A multiple channel system is a system on which there are more than one server (channel), hence the…
Q: Snip
A: Mathematical modeling is the art of translating issues from an application area into manageable…
Q: A remote bank with one teller on average has a customer arrive every 10 minutes, and on average…
A: WE ARE GIVEN ARRIVAL TIME (LAMDA) = 10 MINS SERVICE TIME (AMU) = 10 PER HOUR = 10/60 = 1 PER MIN WE…
Q: a. The average number of customers waiting. (Round your intermediate calculations to 3 decimal…
A: Benny's market survey data- customers arrive at a rate = 4.0 per hour Benny's average time of 11…
Q: *Show the complete solution. I. PROBLEM-SOLVING In order to enhance their overall service…
A: Given, Arrival rate,λ =30 per hour= 30÷60 =0.5 customers per minute Service rate, μ = 1 order or…
Q: Students arrive at the administrative services office at an average of one every 15 minute, and…
A: Arrival time (A) = 15 minutes = 4 per hour Service time (S) = 10 minutes…
Q: please answer this for my review
A: Given that, Clients show up at a pace of one every moment. That is, 2 =1The server can deal with 0.4…
Q: An office employs several clerks who create documents, and one operator who enters the document…
A: Therefore M/M/1 model fits. Arrival rate, λ = 22 customers per hour Service rate, μ = 1 / service…
Q: An automated car wash will wash a car in 10 minutes.Arrivals occur an average of 15 minutes apart…
A: Formula:
Q: Moore, Aiken, and Payne is a critical care dental clinic serving the emergency needs of the general…
A: Given data, Dental Chairs = 5 Staffed Chairs = 3 Patients = 5 hours Average Time = 30 minutes
Q: Customers enter the camera department of a store at the average rate of six per hour. The department…
A: Queueing Analysis Queueing Analysis is a technique used to determine and analyze the efficiency of…
Q: For the first two hours of the day, the arrival rate at the donut shop is 10 customers per hour. The…
A: Given:Time interval(t) = 2 hrArrival rate ( λ)= 10 hrServing rate(μ) = 8 hr
Q: A vending machine dispenses hot chocolate or coffee. Service time is 45 seconds per cup and is…
A: The arrival rate is 59 per hour. The Service rate is constant and 45 seconds per cup or 2 cups per…
Q: Tracy, working as a single hairstylist at coiffeur, dresses hair of women at a rate of 5 women per…
A: Note- We’ll answer the first three subparts of the question since the exact one wasn’t specified.…
Q: A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is…
A: The service rate µ = 1 / 0.5 cups per min i.e. 2 or 120 cups per hour.The arrival rate λ = 76 cups…
Q: at the order fulfillment center of a major mail-order firm, customer orders, already packaged for…
A: Waiting model is part of queuing theory, here we calculate the total waiting time of customer that…
Q: For the first two hours of the day, the arrival rate at the donut shop is 10 customers per hour. The…
A: Given data: Time interval (t) = 2hrArrival rate ( λ) = 10 customer/hr Service rate (μ) = 8…
Q: snip
A: Given, For the given M/M/1 queuing system, System idle = 50% Arrival rate= λ=10 customer per hour
Q: A nice psychologist is providing free consultations to each individual in her town. Each patient…
A: Arrival / service rate of the patients = 60/ time between arrival arrival rate = 60/27 = 2.2222 per…
Q: Students arrive at the Administrative Services Office at an average of one every 15 minutes, and…
A:
Q: A photographer takes passport pictures at an average rate of 20 pictures per hour. The photographer…
A: Formula:
Q: The Swedish Bakery gets an average of 8 customers per hour. Tim Gonzales, the server, can serve a…
A: Given, in the swedish bakery, Arrival rate of customers, λ =8 per hour = 8÷60 =0.13 customers per…
Q: Students arrive at the cafeteria every 2.5 minutes on average. The average of 15 students' orders…
A: Note: "We'll answer the first question for you because you've requested many questions. Please…
Q: The local Burger Doodle fast-food restaurant has a drive-through window. Customers in cars arriveat…
A: This is a concept of a waiting line, where the customer arrival rate and customer service rate is…
Q: Students arrive at the administrative services office at an average of one every 15 minute, and…
A: Arrival time (A) = 15 minutes = 4 per hour Service time (S) = 10 minutes…
Q: Students arrive randomly at the counter of the CIT Library. There is only one library assistant,…
A:
Q: A new customer walks into SLC Barber Shop every 60 minutes on average, with a standard deviation of…
A: Service time is the total time in which a customer is served after their arrival in a system.
Q: At the order fulfillment center of a major mail-order firm, customer orders, already packaged for…
A: Utilization rate of the system = λ/μ Average number of packages waiting to be sorted= λ/μ(μ-λ)…
Q: what is the average time spent waiting in the queue and the average time in the system
A: In the above question, the percentage of time used by the machine is 44% and the average length of…
Q: Customers arrive to a local bakery with an average time between arrivals of5 minutes. However, there…
A:
Q: One field representative services 5 customers for a computer manufacturer. Customers request…
A:
Q: Eat Well is a tiny drive-through quick food restaurant in a shopping malltown, manned by an…
A: Note: Since you have posted a question with multiple subparts, we will solve the first three…
Q: Passengers arrive at the immigration counter at a rate of one every 4 minutes, and processing their…
A: Arrival time=4 minute Arrival rate=1/4 =0.25 person per minute. Service time=10 minute Service…
Q: A crew of mechanics at the Highway Department Garage repair vehicles that break down at an average…
A: Given- Vehicles repaired at an average of λ = 7.5 vehicles per day Service at an average of μ = 10…
Q: Tourists arrive at the lobby of Rosewood Hotel at a rate of 32 per hour following a Poisson…
A:
Q: Customers arrive at Rich Dunn's Styling Shop at a rate of 4 per hour, distributed in a Poisson…
A: given, customer arrive = 4 per hour rich perform an average of = 8 haircuts per hour
Q: . In a restaurant, customer arrival is Poisson at 12 per hour. In this restaurant, the customers do…
A: This question is related to the topic of Service quality and this topic falls under the operations…
Q: . Cranston Cranberry Cooperative (CCC) processes cranberries that are harvested in thelocal area.…
A: The additional barrels in waiting per hour = 150-50 = 50 So, number of barrels waiting at trucks…
Q: A fast-food restaurant has one drive-through window.On average, 40 customers arrive per hour at…
A: Arrival Rate = λ = 40 customers per hour Service Rate = μ = 11×60 = 60 customers per hour…
Q: Mom and Pop own and operate the Fuzzy Belly Deli. On average, customers arrive at the deli every 6…
A: given, Mom Pop own & function the Fuzzy Belly Deli. On regular, customers reach at the deli each…
Q: People arrive randomly at a bank teller at an average rate of 20 an hour. If the teller takes an…
A: Given data 60 customers per hour because the teller takes an average of 1 minute to serve each…
Q: The Delacroix Inn in Alexandria is a small exclusive hotelwith 20 rooms. Guests can call…
A: Housekeeping is available from 8am to Midnight i.e. for 16 hrs Total no: of rooms= 20 Calls/room=…
Students arrive at the Administrative Services Office at an average of one every 6 minutes, and their requests take, on average, 4 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times.
a. What percentage of time is Judy idle? (Round your answer to 1 decimal place.)
b. How much time, on average, does a student spend waiting in line? (Do not round intermediate calculations. Round your answer to 1 decimal place.)
c. How long is the (waiting) line on average? (Round your answer to 2 decimal places.)
d. What is the probability that an arriving student (just before entering the Administrative Services Office) will find at least one other student waiting in line? (Do not round intermediate calculations. Round your answer to 4 decimal places.)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
- Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take, on average, 10 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. (Answers in Appendix D)a. What percentage of time is Judy idle?b. How much time, on average, does a student spend waiting in line?c. How long is the (waiting) line, on average?d. What is the probability that an arriving student (just before entering the AdministrativeServices Office) will find at least one other student waiting in line?Repair calls are handled by one repairman at a photocopy shop. Repair time, including traveltime, is exponentially distributed, with a mean of two hours per call. Requests for copierrepairs come in at a mean rate of three per eight-hour day (assume Poisson).A) Identify the Queuing Model and sketch the system.B) What is the arrival rate?C) What is the service rate?D) What is the average number of customers awaiting repairs?Students arrive at the Administrative Services Office at an average of one every 20 minutes, and their requests take, on average, 12 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. What percentage of time is Judy idle? Note: Round your answer to 1 decimal place. How much time, on average, does a student spend waiting in line? Note: Do not round intermediate calculations. Round your answer to 1 decimal place. How long is the (waiting) line on average? Note: Round your answer to 2 decimal places. What is the probability that an arriving student (just before entering the Administrative Services Office) will find at least one other student waiting in line? Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
- Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take, on average, 10 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. What percentage of time is Judy idle? Note: Round your answer to 1 decimal place. How much time, on average, does a student spend waiting in line? Note: Do not round intermediate calculations. Round your answer to the nearest whole number. How long is the (waiting) line on average? Note: Round your answer to 2 decimal places. What is the probability that an arriving student (just before entering the Administrative Services Office) will find at least one other student waiting in line? Note: Do not round the intermediate calculations. Round your answer to 2 decimal places.A vending machine dispenses hot chocolate or coffee. Service time is 45 seconds per cup and is constant. Customers arrive at a mean rate of 59 per hour, and this rate is Poisson-distributed. a. Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) Average number of customer b. Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average time minutes c. Determine the average number of customers in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average number customersA vending machine dispenses hot chocolate or coffee. Service time is 15 seconds per cup and is constant. Customers arrive at a mean rate of 55 per hour, and this rate is Poisson-distributed. a. Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) Average number of customer b. Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average time minutes c. Determine the average number of customers in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
- One field representative services five customers for a computer manufacturer. Customers request assistance at an average (Poisson-distributed) rate of once every four working days. The field representative can handle an average (Poisson-distributed) of one call per day. Determine: Use Table 1. a. The expected number of customers waiting. (Round your answer to 3 decimal places.) Expected number of customers waiting b. The average length of time customers must wait from the initial request for service until the service has been completed. (Round your answer to 2 decimal places.) Average length of time days c. The percentage of time the service rep will be idle. (Round your answer to 1 decimal place.) Percentage of Idle time d. By how much would your answer to part a be reduced if a second field rep were added? (Round your answer to 3 decimal places.) Reduced number of customer(s) Please answer part CA vending machine dispenses hot chocolate or coffee. Service time is 35 seconds per cup and is constant. Customers arrive at a mean rate of 66 per hour, and this rate is Poisson-distributed. a. Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) Average number of customers ?? b. Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average time minutes ??Fantastic Styling Salon is run by three stylists, Jenny Perez, Jill Sloan, and Jerry Tiller, each capable of serving three customers per hour, on average. During busy periods of the day, when six customers on average arrive per hour, all three stylists are on staff.a. If all customers wait in a common line for the next available stylist, how long would a customer wait in line, on average, before being served? The average waiting time in a common line is ____ minutes. (Enter your response rounded to two decimal places.)b. Suppose that each customer wants to be served by a specific stylist, 1/3 want Perez, 1/3 want Sloan, 1/3 want Tiller. How long would a customer wait in line, on average, before being served?The average waiting time is ____ minutes. (Enter your response rounded to two decimal places.)During less busy periods of the day, when fourfour customers on average arrive per hour, only Perez and Sloan are on staff.c. If all customers wait in a common line…
- Customers arrive at the company's service office at an average of one every 20 minutes. Their requests take, on average, 15 minutes to be processed. The service counter is staffed by only one employee, who works six hours per day. Assume Poisson arrivals and exponential service times. What model should you use? What percentage of time is the employee idle? How long is the waiting line, on average? How much time, on average, does a customer spend waiting in line? What is the probability that an arriving customer, just before entering the office, will find at least one other customer waiting in line?Drivers who come to get their licenses at the Department of Motor Vehicles have their photograph taken by an automated machine that develops the photograph onto the license card and laminates the complete license. The machine requires a constant time of 4 minutes to prepare a complete license. The interarrival time between two drivers is 6 minutes distributed exponential. a) What type of queuing model this system follow ? b) Determine the average length of the waiting line. c) Determine the average waiting time.One field representative services 5 customers for a computer manufacturer. Customers request assistance at an average (Poisson-distributed) rate of once every 1.5 working days. The field representative can handle an average (Poisson-distributed) of 1.0 call per day. Determine: Use Table 1. a. The expected number of customers waiting. (Round "X" value to 2 decimal places. Round your answer to 3 decimal places.) Expected number of customers waiting b. The average length of time customers must wait from the initial request for service until the service has been completed. (Round your answer to 2 decimal places.) Average length of time days c. The percentage of time the service rep will be idle. (Round your answer to 1 decimal place.) Percentage of Idle time d. By how much would your answer to part a be reduced if a second field rep were added? (Round your answer to 3 decimal places.) Reduced number of customer(s)