What is the average queue length

Assignment Help Operation Management

Reference no: EM13959119

Queuing systems

Suppose customers arrive one at a time, completely at random, at an ATM at the rate of 6 per hour. Customers take an average of 8 minutes to complete their transactions. That is, the service rate is 7.5 per hour.

Historical data have shown that both the inter-arrival and service times closely follow some exponential distribution. Customers queue up on a first-come, first-served basis. Assume that there is only one ATM.

(a) What is the average waiting time in this M/M/1 queue? Please provide the formula, at least one step of calculation, and the correct answer.

(b) What is the average queue length? Please provide the formula, at least one step of calculation, and the correct answer.

(c) Based on the average waiting time and the average queue length, is it necessary for the bank to add another ATM machine? Why?

Reference no: EM13959119

Questions Cloud

One way of creating reserve capacity : Kanban cards must be used to order from outside vendors in JIT systems. One way of creating reserve capacity in a JIT system is to operate its equipment at 80% to 90% of maximum speed. In JIT systems, the trays, among other purposes, are utilized for..

Unmistakable scent of a very expensive woman : The next day, Elle visited an attorney to begin divorce proceedings. Aftersome small talk, the attorney, Mark Smithson, asked Elle about the major assets accumulated during the marriage.

Business strategy in action : The aim of this assignment is to give you a practical insight into the business strategy process at work in an organisation. The task requires you to work with a group of other students to conduct a case study of an organisation you are familiar with..

Geometric center of the town with predominantly : A town center is in the geometric center of the town with predominantly all grass and a few walkways through it. They are willing to spend $30,000 (split evenly with one payment now, and then at the end of the year and the year after that) to build t..

What is the average queue length : Suppose customers arrive one at a time, completely at random, at an ATM at the rate of 6 per hour. Customers take an average of 8 minutes to complete their transactions. That is, the service rate is 7.5 per hour. What is the average waiting time in t..

Write a small program that continually reads in user values : Write a small program that continually reads in user values and calculates the average of all values. The program should first ask the user for the amount of values to be entered. Upon storing this value, the program should proceed to read in that am..

What is the logistics of this retaining practice : Why do businesses such as Macy's hire seasonal and part time employees. what is the logistics of this retaining practice, explain what goes behind such a practice and why does this beneifit the company?

Determining effectiveness of advertising at different times : Explain why different metrics may be more useful to marketers in determining the effectiveness of their advertising at different times. Give examples of which metrics may be useful as consumers go through the purchase decision process.

Revitalization of airasia marketing strategy : Write a dissertation on the given topic of Revitalization of AirAsia Marketing Strategy

User Account

All Pages