Benny the Barber (see Question 1) is considering the addition of a second chair. Customers would beselected for a haircut on a FCFS basis from those waiting. Benny has assumed that both barbers wouldtake an average of 20 minutes to give a haircut, and that business would remain unchanged withcustomers arriving at a rate of two per hour. Find the following informationto help Benny decide if a second chair should be added:Part (a): The average number of customers waiting.Part (b): The average time a customer waits.Part (c): The average time a customer is in the shop.

Arrival rate is the rate at which the customer arrive at a shop, restaurant or in an organisation to…

Answered: Benny the Barber (see Question 1) is…

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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(10 Points) Eat well is a small drive through fast food restaurant, staffed by anefficient employee John, is located in a super mall area. Customers arrive at thecounter at an average of one every 15 minutes, and the customer arrival followsa Poisson distribution. John takes at most 10 minutes to process each foodorder.a) What is average number of customer being served at any time?b) The expected number of customers waiting to be served.c) Compute the average time customer wait in the system.d) Compute the average time customer wait in the line.e) What percentage of time is John Idle?
Problem 15-9 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.1 customers per hour, and haircuts are given with a service rate of 5 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: d. round your answer to four decimal places. What is the c. What is the P3- a haircor and no one is waiting if req d. What is the probability that one customer is receiving a haircut and two customers are waiting? If required, round your answer to four decimal places. Wq- customer is waiting? If rec e. What is the probability that more than two customers are waiting? If required, round your answer to four decimal places. P(More than 2 waiting) - f. What is the average time a customer waits for service? If required, round your answer to four decimal places. hours mal places.
Business continues to grow at Clean Machine. Melanie hasdecided to use a second car washing bay, staff ed with anotheridentical two-person team. Clean Machine will now use a singleline, multiserver, single-phase waiting line system. Th e arrivalrate is estimated to average 24 customers per hour according toa Poisson distribution. Each of the car wash teams can service anaverage of 16 customers per hour according to an exponentialdistribution. Calculate the following operational characteristics:(a) Average system utilization(b) Average number of customers in the system(c) Average number of customers waiting in line(d) Average time a customer spends in the system(e) Average time a customer spends waiting in line(f) Probability of having more than four customers in the system
Describe whether the arrival rates are constant and service rates are random at a doctor office and identify circumstances when the service rates are constant ? It's an operations subject question
Determining the Number of ServersIn the service department of the Glenn-Mark Auto Agency, mechanics requiring parts for auto repair or service present their request forms at the parts department counter. The parts clerk fills a request while the mechanic waits. Mechanics arrive in a random (Poisson) fashion at the rate of 40 per hour, and a clerk can fill requests at the rate of 20 per hour (exponential).If the cost for a parts clerk is $30 per hour and the cost for a mechanic is $60 per hour, determine the optimum number of clerks to staff the counter. (Because of the high arrival rate, an infinite source may be assumed.)
Problem 7-15 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 cierk, 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.) Percentage of time % b. How much time, on average, does a student spend waiting in line? (Do not round intermediate calculations. Round your answer to the nearest whole number.) Average time minutes c. How long is the (waiting) line on average? (Round your answer to 2 decimal places.) Average length of the waiting line customers 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 the intermediate calculations. Round your answer to 2 decimal places.) Probability…
At a one man barber shop, customers arrive according to poison distribution with a mean arrival rate of 5 per hour and hair cutting time was exponentially distributed with an average hair cutting time was exponentially distributed with an average hair cut taking 19 minutes. It is assumed that because of excellent reputation, customers were always willing to wait. Calculate the following a. Average number of customers in the shop and average numbers waiting for a haircut b .Percentage of time arrival can walk in right without having to wait c. The percentage of customers who have to wait before getting into the barber’s chair
5. Eat well is a small drive through fast food restaurant, staffed by an efficient employee John, is located in a super mall area. Customers arrive at the counter at an average of one every 15 minutes, and the customer arrival follows a Poisson distribution. John takes at most 10 minutes to process each food order. a) What is average number of customer being served at any time? b) The expected number of customers waiting to be served. c) Compute the average time customer wait in the system. d) What percentage of time is John Idle?
Homework Chapter 11 Solve the following Problems. Be sure to use Excel and Word for your work. All work needs to be shown. Problem 1) The Friendly Neighbor Grocery Store has a single checkout stand with a full-time cashier. Customers arrive randomly at the stand at a mean rate of 30 per hour. The service-time distribution is exponential, with a mean of 1.5 minutes. This situation has resulted in occasional long line complaints from customers. Therefore, because there is no room for a second checkout stand, the manager is considering the alternative of hiring another person to help the cashier by bagging the groceries. This help would reduce the expected time required to process a customer to 1 minute, but the distribution still would be exponential. In response to complaints from customers, the manager now has adopted three guidelines for providing a satisfactory level of service to the customers. In particular, she would like to have the percentage of time that there are more than…
What two things must be done to control queue and meet delivery commitments?
A student arrive in a photocopy service. There is only one photocopy operator, and the time required for inquiry varies from student to student. The average arrival rate is 12 students per hour, and the average service rate is 20 students per hour. What is the average service time for this problem? Select one: a. 2.28 minutes b. 4.35 minutes c. 3 minutes d. 1 minute
Operations management When is a Queuing system considered to be in a temporary state?

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