12 A restaurant is considering opening a drive through for customer service. Management estimates that customers will arrive at therate of 15 per hour. The teller who will staff the window can service customers at the rate of one every three minutes or 20 per hour.What is the average number of customers in the waiting line?3.5 customersO 3.35 customersO 4.30 customersO 2.25 customers

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Answered: A restaurant is considering opening a…

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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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.
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?
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
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?
In a M/M/1 queueing system, the arrival rate is 8 customers per hour and the service rate is 11 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate). What will be the resulting performance measurements? (Round your ansers to 3 decimal places) a. What is the utilization? b. What is the expected number of customers in the system (L)? c. What is the expected waiting time (in hours) for the system (W)? d. What is the expected number of customers in the queue (Lq)? e. What is the expected waiting time (in hours) in the queue (Wq)?
Using the Queuing Theory principles, a) List Lq, and Wq for all of the stations in a table b) Determine the performance measure (L,W) of the system. 0.25 S2 S4 0.6 Hz=15 H4=13 2=15 S1 S5 H=20 0.9 Hs=15 S3 H3=8
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 a situation in your daily life that could be improved by waiting line analysis. Explain how the design of a waiting system can negatively affect customers. Visit your local bank and observe the waiting line system. Describe the system in terms of number of lines, number of facilities, and number of phases.
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?
λ = 3 Customers per hour μ = 5 Customers per hour M = 1 (a) What is the system utilization? (b) What is the average number of customers waiting for service? (c) What is the average time customers wait in line for service?
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?
Western National Bank wants to provide a drive-through window for its customers. Management estimates that customers will arrive in their cars at the rate of 15 per hour. The teller who will staff the window can service customers at the rate of 20 per hour. Assuming Poisson arrivals and exponential service, find the following: Capacity utilization of the teller. Average number of cars in the waiting line Average number in the system. Average waiting time in line. Average waiting time in the system, including service.

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