Please answer the attached question with a topic of Queuing Model under Operation Research and Management. Thanks 1. The Maitland Furniture store gets an average of 50 customers per shift. The manager of Maitland wantsto calculate whether she should hire 1, 2, 3, or 4 salespeople. She has determined that average waitingtimes will be 7 minutes with 1 salesperson, 4 minutes with 2 salespeople, 3 minutes with 3 salespeople,and 2 minutes with 4 salespeople. She has estimated the cost per minute that customers wait at $1.The cost per salesperson per shift (including benefits) is $70.

Queuing models are also known as waiting for line models. It is a study of waiting lines. A. basic…

Answered: The Maitland Furniture store gets an…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 52P

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43) Tax Advisor A tax advisor is able to serve 5 customers per hour on a walk-in basis. An average of 3 customers arrive at the advisor's desk each hour for this service. How many minutes per hour does the advisor have to handle other tasks (not meeting with customers)? Group of answer choices a) 15 minutes b) 4 minutes c) 40 minutes d) 36 minutes e) 24 minutes f) 12 minutes 44) Tax Advisor The tax advisor would like to calculate the probability that more than 1 customer will arrive in the next hour. Which of the following calculations will provide that answer? Group of answer choices a) P(X=0) + P(X=1) b) P(X=1) c) 1.0 - [P(X=0) + P(X=1)] d) 1.0 - P(X=0) e) 1.0 - P(X=1)
Describe what is meant by the waiting-line terms balk and renege. Provide an example of each.
The prudential bank manager wants to improve its quality of service by reducing customer waiting times. To that end, a team of experts is needed to design what could be the best queuing strategy in order to have the minimum waiting time. Assuming your part of the team, what's the best queuing strategy to reduce the client's waiting time?
The following information pertains to telephone calls to a motel switchboard on a typical Tuesday.PeriodIncoming Rate(calls perminute)Service Rate(calls per minuteper operator)Number ofOperatorsMorning 1.8 1.5 2Afternoon 2.2 1.0 3Evening 1.4 0.7 3a. Determine the average time callers wait to have their calls answered for each period and theprobability that a caller will have to wait for each period.b. For each case in the previous problem, determine the maximum line length for a probability of96 percent.
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.)
12-11 The Rockwell Electronics Corporation retains a service crew to repair machine breakdowns that occur on an average of λ=3 per day (approximately Poisson in nature). The crew can service an average of μ=8 machines per day, with a repair time distribution that resembles the exponential distribution. a. What is the utilization rate of this service system? b. What is the average downtime for a machine that is broken? c. How many machines are waiting to be serviced at any given time? d. What is the probability that more than one machine is in the system? Probability that more than two are broken and waiting to be repaired or being serviced? More than three? More than four?
Angkut Deras Hauling Company has two long-trip cars rental servicesinclusive with a driver at Kota Kinabalu International Airport. The companyhas determine during the late-evening hours on weekend, customersrequest driver for cars rental at a rate that follows the Poisson distributionwith a mean of 0.8 per hour. Travel and assistance time is exponential witha mean of 1 request per hour. Find each of the performance measures ofthis waiting line system. a) What is the system utilization rate for Angkut Deras Hauling Company?b) Probability that both drivers will be busy when a customer request.c) The average number of customer waiting in line.d) The average time customers wait for a driver.e) What is the customers average waiting time on arrival?
8. The parts department of a large automobile dealership has a counter used exclusively for mechanics’requests for parts. The time between requests can be modeled by a negative exponential distributionthat has a mean of five minutes. A clerk can handle requests at a rate of 15 per hour, andthis can be modeled by a Poisson distribution that has a mean of 15. Suppose there are two clerksat the counter.a. On average, how many mechanics would be at the counter, including those being served?b. What is the probability that a mechanic would have to wait for service?c. If a mechanic has to wait, how long would the average wait be?d. What percentage of time are the clerks idle?e. If clerks represent a cost of $20 per hour and mechanics a cost of $30 per hour, what numberof clerks would be optimal in terms of minimizing total cost?
Explain in what kind of situations is queuing analysis is most important under waiting line models ? It's from operations management domain don't sent it to other subjects plz !
The common measures of a queuing system's performance include: O probability that the service facility will be idle, average queue length, and probability that the waiting time will exceed a specified duration. average time each customer spends in the system, probability that the service system will be idle, and average time each customer spends in the queue. average queue length, maximum time a customer may spend in the queue, and the utilization factor for the system. average time each customer spends in the system, maximum queue length, and probability of a specific number of customers in the system. maximum queue length, maximum time a customer may spend in the queue, and average queue length.
Fantasy Park has two service desks, one at each entrance of the park. Customers arrive at each service desk at an average of one every six minutes. The service rate at each service desk is four minutes per customer.
The time from when a patient is discharged from NorthShore Hospital to the time the discharged patient’s bed isready to be assigned to a new patient is referred to as thebed assignment turnaround time. If the bed turnaroundtime is excessive, it can cause problems with patient flowand delay medical procedures throughout the hospital. Thiscan cause long waiting times for physicians and patientsthus creating customer dissatisfaction. The admissions RNhas assigned a patient care associate to measure the bedturnaround time for a randomly selected bed each morning,afternoon, and evening for 30 days. Following are the bedturnaround time sample observations:a. Develop an x-chart to be used in conjunction with anR-chart using 3 limits to monitor the bed turnaroundtimes and indicate if the process is in control usingthese charts.b. Is the hospital capable of consistently achieving bedturnaround times of 120 minutes 15 minutes withoutimproving the process?

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