Average number of people waiting in queue and in the system

Assignment Help Operation Management

Reference no: EM132150075

Suppose that the customers arrive at a hamburger stand at an average rate of 49 per hour, and the arrivals follow a Poisson distribution. Joe, the stand owner, works alone and takes an average of 0.857 minutes to serve one customer. Assume that the service time is exponentially distributed.

a) What is the average number of people waiting in queue and in the system?

b) What is the average time that a customer spends waiting in the queue and in the system?

Recently, Joe has started receiving complaints regarding long waiting time from customers who want faster service. In response, Joe is considering hiring Jim to work with him at the stand. Assume that Jim can also serve customers at the same rate as Joe. Compute the average time that a customer spends waiting in the queue and in the system for the following cases:

c) There is a single queue at the stand for both servers.

d) There are two queues at the stand, each operating independently, and customers are served FCFS within each queue. Assume that the average arrival rate to each queue is half of that in the previous case, i.e., 49/2, and follows a Poisson distribution.

e) From a customer’s perspective, which system is better in terms of waiting time in the system (a shared queue for the two servers as in Part c or dedicated queues for each server as in Part d?

Reference no: EM132150075

Questions Cloud

Discuss about the accurate economic forecasting : Why would more accurate economic forecasting make it easier for policymakers to stabilize the economy? Describe two ways economists try to forecast developments

Why would developed nations try to coordinate : Why would developed nations try to coordinate their macroeconomic policies? Provide at least 3 reasons and explain each of them in detail.

Environmental uncertainty affect to food processing company : Briefly explain how environmental uncertainty affect to food processing company and aerospace company

Confidence interval for the population proportion : In a survey of 3153 adults, 1407 say they have started paying bills online in the last year. Construct a? 99% confidence interval for the population proportion.

Average number of people waiting in queue and in the system : What is the average number of people waiting in queue and in the system? What is the average time that a customer spends waiting in the queue and in the system?

Hypothesis test using the four-step procedure : Use a 0.05 significance level to conduct a hypothesis test using the four-step procedure. Be sure to state your conclusion.

Why is innovation in management practices important : Why is innovation in management practices important?

Create and maintain efficient and safe workplace : Employees have a right to privacy, but employers also have a right to create and maintain an efficient and safe workplace.

How would immigrant workers affects the economy : How would the reduction in the number of immigrant workers affects the economy in the short-term (Use IS-LM framework and graphs).

User Account

All Pages