You are the manager of a local bank where three tellers provide services to customers. On average, each teller takesfour minutes to serve a customer. Customers arrive, on average, at a rate of 40 per hour. Having recently receivedcomplaints from some customers that they waited a long time before being served, your boss asks you to evaluate theservice system. Specifically, you must provide answers to the following questions:a. The average utilization of the three-teller service system is p= 0.8889. (Enter your response rounded to fourdecimal places.)b. The probability that no customers are being served by a teller or are waiting in line is Po= 0.0280. (Enter yourresponse rounded to four decimal places.)c. The average number of customers waiting in line is L₁ = customers. (Enter your response rounded to one decimalplace.)

Given data is Arrival rate (lambda) = 40 per hour Service rate = 4 minutes per customer Service…

Answered: You are the manager of a local bank…

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 9P

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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?
Given information: A typical TSA agent at Piedmont Triad International Airport takes approximately 1.15 minutes to screen each passenger that arrives at the security gate. During the day, a passenger arrives at the gate on average every 1.3 minutes. Both the service rate and arrival rate follow a Poisson distribution. Based on this information and the assumption that only one screening line is open at the security gate, answers the following questions. Round calculations to at least 3 decimal places. Note: Round each calculation to at least 3 decimal places. Arrival time =60/1.3=46.153 Server Rate =60/1.15=52.174 L=expected number of passengers in queue =6.780 waiting time in queue =.1469 time spent screening=.1660 please answer the 2 foloowing questions What is percent of the time does the typical TSA agent spend actively screening passengers? Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45 minutes before a flight is…
Briefly describe three situations in which the first-in, first-out (FIFO) discipline rule is not applicable in queuing analysis.
given the following: A typical TSA agent at Piedmont Triad International Airport takes approximately 1.15 minutes to screeneach passenger that arrives at the security gate. During the day, a passenger arrives at the gate onaverage every 1.3 minutes. Both the service rate and arrival rate follow a Poisson distribution. Based onthis information and the assumption that only one screening line is open at the security gate, answer thefollowing questions with the given information: a) average number of passengers waiting in line to be screened is 7 b) average amount of time (in minutes) passengers spend waiting in line is .147 minutes c) average amount of time (in minutes) passengers spend in the screening system?.166 minutes 1. What is percent of the time does the typical TSA agent spend actively screening passengers? 2. Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45 minutes before a flight is expected to depart. If during this…
You observe an average of 10 customers in the System. On average, you also observe customers are in the system for 50 minutes before they leave. What is the arrival rate into the system in customers per hour?
You are the manager of a local bank where three tellers provide services to customers. On average, each teller takes 3 minutes to serve a customer. Customers arrive, on average, at a rate of 50 per hour. Having recently received complaints from some customers that they waited a long time before being served, your boss asks you to evaluate the service system.Specifically, you must provide answers to the following questions:a. What is the average utilization of the three-teller service system?b. What is the probability that no customers are being served by 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 before being served?e. On average, how many customers would be at a teller’s station and in line?
As an interested student, you have volunteered to study the operation of the Sunbucks during a typical weekday. You arrive at 8 am just as Sunbucks is opening, and you diligently record information over the next hour. According to the manager, Sunbucks should be able to serve an average of 1 customer every 2 minutes and during the period you were collecting data 25 customers arrived to make a purchase. Based on your data, What was the average waiting time for a customer in line during this period? a) 25 .16 b)3.67 c) 1.0 d)4.167
What are some of the advantages of using the Queuing Simulator?
Customers' level of satisfaction with a service derives from the perceived value of the service at the point in time of access. Therefore customer satisfaction is not directly related to Select one: a. the timeliness of the service b. their perception of the service performance c. their expectations regarding service d. the qualification of the service staff Which of the following situations will tend to increase customer dissatisfaction with waiting in line the most? Select one: a. The physical location of an operation b. Bright lights in the banking hall c. Large numbers of customers d. Idle workers in the view of customers оо O O O O O O
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?
What are the most common measures of system performance in a queuing analysis?

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