I need assitance with solving Chapter 10 Question 23. I made numerous attempts to solve. however I am still having issues. Please provide a step by step explanation so, I can use it as notes for future reference. Respectfully thank you. **Problem 23: Planning the New Layout for a Bank Branch**You are in charge of planning the layout for a local branch of the Sixth Ninth Bank. The plan involves creating separate cashier windows for three different service classes. Each class will have its own dedicated cashiers and customers. Despite the differences, all service classes have identical demand and service time characteristics. Specifically, customers for a certain class of service arrive every four minutes, and these arrival times follow an exponential distribution (meaning the standard deviation equals the mean). It takes each cashier exactly seven minutes to service a customer, and the standard deviation for service times is three minutes. Two cashiers are assigned to each service class.**Questions:**a. On average, how long will the line be at each of the cashier windows?b. On average, how long will a customer spend in the bank, assuming they enter, go directly to one line, and leave immediately after service is completed?**Consolidation Consideration:**You decide to consolidate all the cashiers to allow them to service every type of customer without altering the service times.c. How will consolidation affect the amount of time each cashier spends idle? Will this time increase, decrease, stay the same, or depend on specific factors?d. How will consolidation affect the average amount of time a customer spends in the bank? Will this time increase, decrease, stay the same, or depend on specific factors? Chapter 10: Questions, Questions 11 and 23 from pages 368 to 374.Hint: For question 23 of chapter 10, we should consider using the waiting line approximation method because the service times do not follow an exponential distribution.

As per the given description of the question, the following information is extracted. Number of…

You are planning the new layout for the local branch of the Sixth Ninth Bank. You are considering separate cashier windows Page 292 for the three different classes of service. Each class of service would be separate, with its own cashiers and customers. Oddly enough, each class of service, while different, has exactly the same demand and service times. People for one class of service arrive every four minutes and arrival times are exponentially distributed (the standard deviation is equal to the mean). It takes seven minutes to service each customer, and the standard deviation of the service times is three minutes. You assign two cashiers to each type of service. a. On average, how long will each line be at each of the cashier windows? b. On average, how long will a customer spend in the bank (assume they enter, go directly to one line, and leave as soon as service is complete)? You decide to consolidate all the cashiers so they can handle all types of customers without increasing the service times. c. What will happen to the amount of time each cashier spends idle? (increase, decrease, stay the same, depend on d. What will happen to the average amount of time a customer spends in the bank? (increase, decrease, stay the same, depend on

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P