Exam 17: Waiting Lines

A Laundromat where there are washing machines and dryers is an example of a:

Twelve customers arrive at the lunch counter at George's Happy Hog per hour and select the hickory smoked meat du jour along with a side and soda for $5.The server doubles as the cashier and can take and fill an order in three minutes on average.What is the likelihood that there is one person being served and one in line at the George's Happy Hog if the times can be assumed as exponentially distributed?

Scenario B.2 Weary travelers arrive at Will Rogers International Airport,pick up their luggage,stumble to their cars,and proceed to the parking lot attendant to pay for their parking.Traveler interarrival times are exponentially distributed,as are the service times of the attendant.On average,travelers arrive every 25 seconds.The attendant can process three travelers per minute,and processing rates follow a Poisson distribution. -Use the information in Scenario B.2.What is the average amount of time a customer spends waiting in line and being served?

A homemade-ice cream shop owner has noticed that,often,potential customers will stop outside the store,assess the wait in line,and then pass by.The shop has a(n):

Twelve customers arrive at the lunch counter at George's Happy Hog per hour and select the hickory smoked meat du jour along with a side and soda for $5.The server doubles as the cashier and can take and fill an order in three minutes on average.What is the lowest number n such that the likelihood of n or more customers in line and receiving service is 0? Assume that the arrival and service times can be assumed as exponentially distributed.

Explain how waiting lines can develop even when the service time is a constant.

The number of customers in line and being served also relates to service efficiency and capacity.

How busy is the octogenarian usher described in Scenario B.1?