10. Customers arrive an average of 8 per hour and an average of 12 customers can beserved in an hour. Assume this is an M/M/1 model. (Noteshaper Quick Start #18 - #20)what is the system utilization?what is the average length of the line?what is the average number of customers in the system?what is the average amount of time spent waiting in the line?what is the average amount of time a customer spends in the system?what is the probability of no customers in the system?11. Customers arrive at a ferry ticket office at the rate of 18 per hour on Monday mornings.This can be described as a M/M/1 model. Selling the tickets and providing generalinformation takes an average of 2 minutes per customer. One ticket agent is on duty onMondays. (Noteshaper Scenario #34)a. What is the average length of the line on Monday mornings?b. On average, how long does a customer wait to buy a ticket on Monday mornings(in minutes)?c. How long does it take to successfully buy a ticket on Monday mornings (inminutes)? (This includes time waiting in line and purchasing from the agent.)d. What is the probability that an arriving customer has to wait to buy a ferry ticketon Monday morning?e. What is the probability of exactly four customers in the ferry ticket office? Thisincludes both customers waiting in line and those being served.

NOTE: We are allowed to answer one question at a time. Arrival rateA8.00Service rateS12.00

Answered: 10. Customers arrive an average of 8…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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The BPD has three tellers to provide service. Each teller, on average, serves one customer in three minutes per customer, the latter arriving 50 every hour. Due to complaints received, an evaluation of the system has been requested:(a) Give the average utilization of the service system with the three tellers.b) What is the probability of arriving at the bank with no one there?c) What is the average number of customers waiting in line?d) On average how long does a customer wait in line to be served?e) On average how many customers would be served at a teller and waiting in line?
n Canada, many people have complained that the waiting time in hospital emergency is oftenvery long. (Here, the waiting time is defined as the time from arrival to departure.)A typical service process in a hospital emergency has several stages:1. When patients arrive, they register personal information (such as health card number,reasons to be there) in a computer. Then, patients wait in an open waiting area.2. There is often one or two doctors whose offices are at the side of the open waiting area.The doctor(s) talks with the patients one by one to have preliminary diagnosis andprovide some help.3. Then, the patients wait in the same waiting area.4. A nurse arranges (part of) the patients to a closed area to wait for doctors.5. A nurse arranges the patients waiting in the closed area to individual rooms to wait fordoctors.6. A doctor helps the patients individually. Then, patients leave individually.According to your simulation, what is the bottleneck of reducing the waiting time?…
Fantastic styling salon is run by three stylists, each capable of serving five customers per hour, on average. 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
Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.6 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) ?=?=Lq=L=Wq= hW= hPw= (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.) Wq (in minutes) = min, which is than the desired wait time, so the goal met. What action do you recommend? (Select all that apply.) Increase the mean service rate.Decrease the mean service rate.There is no need to change the current operating parameters.Hire another…
A small popular restaurant at an interstate truck stop provides priority service to truckers. The restaurant has ten tables where customers may be seated. The service time averages 40 minutes once a party is seated. The customer arrival rate is 12 parties per hour, with the parties being equally divided between truckers and non-truckers.On average, how many parties of truckers are waiting to be seated? Question 1 options: 0.27. 0.52. 0.88. 1.36. 1.75.
Please do not give solution in image format thanku 1. A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 13 customers per hour and an average service rate of 20 customers per hour. The average length of time customers will spend in the system is: Select one: a. 0.09286 minutes b. 0.1429 minutes c. 8.571 minutes d. 5.571 minutes 2. A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 10 customers per hour and an average service rate of 13 customers per hour. The probability of 3 customers in the system is : Select one: a.0.895 b.0.5448 c.0.2308 d.0.105

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