A new customer walks into SLC Barber Shop every 60 minutes on average, with a standard deviation of the interarrival times being 60 minutes. At SLC Barber Shop, the average service time is 30 minutes, with a standard deviation of service times being 45 minutes. 1. What is the utilization of the barber? 2. What is the CVa? 3. What is the CVp?

A new customer walks into SLC Barber Shop every 60 minutes on average, with a standard deviation of the interarrival times being 60 minutes. At SLC Barber Shop, the average service time is 30 minutes, with a standard deviation of service times being 45 minutes. 1. What is the utilization of the barber? 2. What is the CVa? 3. What is the CVp?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 26P

See similar textbooks

Similar questions

Seattle's Top Coffee owns and operates a chain of popular coffee stands that serve over 30 different coffee-based beverages. The constraint at the coffee stands is the amount of time required to fill an order, which can be considerable for the more complex beverages. Sales are often lost because customers leave after seeing a long waiting line to place an order. Careful analysis of the company's existing products has revealed that the opportunity cost of order filling time is $2.70 per minute. The company is considering introducing a new product, praline cappuccino, to be made with pecan extract and molasses. The variable cost of the standard size praline cappuccino would be $0.30 and the time required to fill an order for the beverage would be 40 seconds Required: What is the minimum acceptable selling price for the new praline cappuccino product?
MGMT Hospital Inc is a private concern that recently opened its doors to the public in the suburbsamidst heavy traffic. There are hardly any quiet nights. Sirens are a constant feature. However, onceinside, there is just the hustle and bustle of hospital staff going back and forth. A hospitalreadmission is when a patient who is discharged from the hospital, is re-admitted again within acertain period of time. Hospital readmission rates for certain conditions are now considered anindicator of hospital quality, and also affect the cost of care adversely. For this reason, Centers forMedicare & Medicaid Services established the Hospital Readmissions Reduction Program (HRRP)which aims to improve quality of care for patients and reduce health care spending by applyingpayment penalties to hospitals that have more than expected readmission rates for certain conditions.Although diabetes is not yet included in the penalty measures, the program is regularly adding newdisease conditions to the…
Describe the service package for (a) a bank, (b) an airline,and (c) a lawn service.
The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of 100 per hour. The ticket seller averages 30 seconds per customer, which includes placing validation stamps on customers’ parking lot receipts and punching their frequent watcher cards. (Because of these added services, many customers don’t get in until after the feature has started.) What is the average customer time in the system? What would be the effect on customer time in the system of having a second ticket taker doing nothing but validations and card punching, thereby cutting the average service time to 20 seconds? Would system waiting time be less than you found in (b) if a second window was opened with each server doing all three tasks?
Please do not give solution in image formate thanku. λ= 4 customers per hour; μ = 5 customers per hour; M= 1 An average of 20 customers arrive at a service center each hour. There are two servers on duty, and each can process 12 customers per hour. a) What is the system utilization? b) What is the average waiting time for customers who actually have to wait? c) What is the average time customers wait in line for service?
Ling is the customer service manager at Sakuro, a new departmental store stocking Japanese products. Customer service is integral to the Japanese way of doing business and Ling is responsible for ensuring that the five basic needs of customers are met through their service offering. If Ling decides to create a toll-free number to assist customers, which one of the following needs would Ling be meeting? Select one: Oa. Service O b. Quality C. Action d. Appreciation
Given the following data at the drive-through of a bank, what is the interarrival time between the first and second customers? TITIT Customer Arrival Time Service Time (minutes) 8:06 8:10 10 8:15 7 4 8:25 2. 10 minutes O S minutes O 4 minutes O 20 minutes
A system operational history provides the following data: Service Time = 780 hrs Available time = 8000 hrs %3D # of starts = 52 # of outages = 5 Forced Outage Time = 150 hrs Probability of system failure at start is zero. Find: a. Average service time b. Average available time c. Mean Time To Repair d. Mean Time To Failure e. Forced outage rate
Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.7 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.) λ = μ = q L = W q W = P.. W = (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 ---Select--- than the desired wait time, so the goal ---Select--- + met. What action do you recommend? (Select all that apply.) Increase the mean service rate. -a W Enter a number. Hire another consultant. 0 There is no need to change the current…
Sunset Airlines is concerned about the level of service for its check-in procedure. Currently, a single clerk spends an average of 3 minutes per passenger checking luggage and issuing boarding passes. Passengers arrive at the rate of 15 per hour. Make all the assumptions of M/M/1 model. Submit your answers to the following questions. Show your work. (a) What is the utilization of the clerk? (b) What is the average number of passengers in service? (c) What is the average number of passengers in the waiting line? (d) What is the average waiting time in line of a passenger? (e) What is the average time spent in the system of a passenger? (f) What is the average number of passengers in the system? (g) What is the probability of having more than 2 passengers in the system? (h) What is the probability of having no passenger in the waiting line? (i) If the clerk is replaced by a self-serve ATM with a constant service time of 3 minutes, what would be the average waiting time in line of a…
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…
You are the manager of a local bank where three tellers pro-vide services to customers. On average, each teller takes 3minutes to serve a customer. Customers arrive, on average,at a rate of 50 per hour. Having recently received complaintsfrom some customers that they waited a long time beforebeing served, your boss asks you to evaluate the service sys-tem. Specifically, you must provide answers to the followingquestions:a. What is the average utilization of the three-teller servicesystem?b. What is the probability that no customers are being servedby a teller or are waiting in line?c. What is the average number of customers waiting in line?d. On average, how long does a customer wait in line beforebeing served?e. On average, how many customers would be at a teller’sstation and in line?