What is the average queue length

Assignment Help Operation Management

Reference no: EM13960677

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

Reference no: EM13960677

Questions Cloud

Conduct discounted cash flow calculation to determine npv : Conduct a discounted cash flow calculation to determine the npv of the following project assuming a required rate of return on .2. The project will cost75,000 but will result in cash inflows of 20,000 25,000 30,000 and 50,000 in each of the next four..

What could NASA management have done differently : What could NASA management have done differently? What, if anything, could their subordinates have done differently? What should Roger Boisjoly have done differently (if anything)?

What is the breakeven quantity between location : A company has collected the following information for three potential facility locations. Location Annual Fixed Cost Variable cost per unit A $2 million $40 B $3 million $30 C $4 million $20 (a) What is the breakeven quantity between Location A and L..

Choosing new location for your firms business : If you were a manager charged with choosing a new location for your firm's business, how would you go about matching the location options with your firm's strategic goals? Why would you choose that approach? Give an example.

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 queue length? Wha..

What happens if shipments are late : Just-in-time delivery sounds good, but what happens if shipments are late? Pick an industry and a company. Would you adopt a just-in-time system for that company? Why or why not? Explain.

Potential-conflicts that may result from multiple channels : Many manufacturers actually use multiple channels to get their products distributed. What are some of the potential problems and conflicts that may result from multiple channels? Give an example in your explanation.

Factors which impact the sustainability of change : Review the list of eleven (11) factors which impact the sustainability of change. Reflect on a change that you implemented or was implemented at an organization with which you are familiar that was not sustainable. Comment on the factors of sustainin..

Habits as change levers : Read the article titled “Habits as Change Levers”. Reflecting on step eight (8) of kotter, Institutionalize the Change, identify a change that you implemented or was implemented at an organization with which you are familiar. What impact does an orga..

User Account

All Pages