Consider a bank branch that has three distinct customer arrival patterns throughout the day, as measured...
Queueing models with variance 3. National Bank currently employs a single teller to assist customers over their lunch breaks. The typical inter-arrival time for customers is 10 minutes with a standard deviation of 8 minutes. The teller can service people, on average, every 8 minutes with a standard deviation of 7 minutes. Find the following: a. The utilization of the teller b. The average number of customers in line c. The average time a customer waits before it seeing the...
Subject: Broadband Networks. 4. A bank has 4 tellers with different service rates, i.e., teller 1 averages 10 customers/hour, teller 2 averages 15 customers/hour, teller 3 averages 12 customers/hour, and teller 4 averages 10 customers/hour (all with exponential service times). Assume that there are 20 seats in the lobby, and any customer arriving to a fully-occupied lobby leaves. a. If the system is modeled as a Markov chain, what is the total number of states? b. What is the average...
Customers arrive at a bank that has 1 teller and they wait in line on a first-come, first-sorved basis. Customers arrive according to a Poisson process with a rate of 14.5 per hour. It takes on average 4 minutes for a customer to be served by the tellor. No customer leaves without going through service with the teller. The standard deviation of the service time is 2 minutes. What is the average time a customer spends waiting in line? (Enter...
Example 1 Follow National Bank FNB operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings cars arrive randomly with a mean arrival rate of 24 customers per hour (0.4 per minute) What is the expected number of customers that will arrive in a 5-minute period? Delays are expected if more than 3 customers arrive during any 5-minute period. What is the probability that delays will occur? Assume that...
3.17 A bank branch located in a commercial district of a city has the business objective of developing an improved process for serving customers during the noon-to-1:00 P.M. lunch period. The waiting time, in minutes, is defined as the time the customer enters the line to when he or she reaches the teller window. Data col- lected from a sample of 15 customers during this hour are stored in Bank1 4.21 5.55 3.02 5.13 4.77 2.34 3.54 3.20 .50 6.10...
Problem 4. The Security & Trust Bank employs 4 tellers to serve its customers. Customers arrive ac cording to a Poisson process at a mean rate of 4 per minute. However, business is growing and management projects that the mean arrival rate will be 6 per minute a year from now. The transaction time between the teller and customer has an exponential distribution with a mean of 0.5 minute. Management has established the following guidelines for a satis- factory level...
Question 1 A bank wishes to decide how many staff to schedule during the lunch period. During this period customers arrive at a rate of 9 per hour, according to a Poisson distribution. The enquiries that customers have (such as opening new accounts, arranging loans, etc.) take on average 15 minutes to deal with, these are exponential service times. The bank manager wants to answer the following questions: 1.1 What is the arrival rate and the service rate for the...
A bank with a branch located in a commercial district of a city has the business objective of improving the process for serving customers during the noon-to-1 PM lunch period. To do so, the waiting time (defined as the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window) needs to be shortened to increase customer satisfaction. A random sample of 15 customers is selected and the waiting times were...
WestEast Bank is a busy metropolitan bank open to customers from 9:00 am to 4:00 pm each day. It employs both full-time and part-time tellers. Full-timers work 8 hours/day, from 8:00 am to 5:00 pm, with a 1-hour lunch period beginning at either 11:00 am or 12:00 noon. Part-timers work 4 hours/day with no lunch break. Part-timers report for work at the beginning of the hour for the period they are hired. Full-time tellers earn P1,000 for an 8-hour workday,...
The average number of customers arriving at a drive-through window of a bank branch is 39 per hour during lunch hours. Use X to denote the number of arrivals in a 5 minute time interval. Assume the customers arrive independently and the number of arrivals within each 5 minutes follows a Poisson distribution. Keep at least 4 decimal digits if the result has more decimal digits. I AM JUST LOOKING FOR WHAT FUNCTION/EQUATION TO PUT INTO MY CALCULATOR TO GET...