Question

QUESTION 1

1. Customers arrive at a hair salon according to a Poisson process with an average of 16 customers per hour. Which of the following is most likely true, based on this information:

   	a.	The hair salon serves customers on a walk-in basis (rather than by appointment times)
   	b.	If 10 customers arrive in the first hour, it is likely that 22 customers will arrive in the next hour.
   	c.	If the salon can serve an average of 20 customers per hour, then it will be rare that a customer has to wait for a haircut.
   	d.	All of the above are most likely true.

1 points   

QUESTION 2

1. If customers arrive according to a Poisson process with an average arrival rate of 15/hour, then what is the probability of having nine or fewer arrivals in an hour? (Note - this is not a 'Waiting Lines' question that uses the Excel template, but rather is a question about Poisson arrivals and would use the Poisson equation seen in the lab, text and in class. You will most likely require a spreadsheet to be efficient in answering this question).

   	a.	3%
   	b.	12.5%
   	c.	7%
   	d.	85.0 %

1 points   

QUESTION 3

1. Travellers flying out of an airport first pass through security. Security supervisors need to decide how to place stanchions for the queue. Assume that travellers line up in a single line and will be directed to the first available security officer once they get to the front of the line (there are four security officers available to serve customers, at an average rate of 45 seconds per customer. If an average of 308 travellers per hour arrive (assume Poisson arrival rate), how long will the queue be, on average?

   	a.	Between 10 and 20 travellers
   	b.	More than 40 travellers
   	c.	Between 30 and 40 travellers
   	d.	Between 20 and 30 travellers
   	e.	Fewer than 10 travellers

1 points   

QUESTION 4

1. At a catalog order center for gardening supplies, customers browse catalogs, look at display items, and fill out an order card for items that they wish to purchase. They then join a single queue and wait to be served by the next of the six clerks who becomes available (arrivals follow a Poisson process with an average arrival rate of 49 customers per hour.) Clerks will then take the customer’s order card, enter the order in the computer, retrieve the items from a small warehouse, and process payment. A process specialist has recently proposed that the six clerks work in pairs, with each pair serving an individual customer at once, primarily as a means of reducing errors in orders and improving customer contact. One of the two clerks in a pair will thus handle customer administration (processing payment, etc.) while the other clerk retrieves items from the warehouse. It has been found in a trial run that the time to serve a customer averages 2.84 minutes/customer (assume negative exponential distribution). What is the average amount of time from when a customer joins the queue until they are finished being served (in minutes, rounded to two decimal places)?

   	a.	3.19 mins
   	b.	2.87 mins
   	c.	5.36 mins
   	d.	9.71 mins

1 points   

QUESTION 5

1. A car wash has 10 available bays; however, the owners find that it is expensive to have too many bays open when utilization is low because there are costs associated with having a bay open, such as electricity for lighting and costs for cleaning. Thus, they would like to have only as many bays open as needed to ensure average customer wait time (in line) of no more than five minutes. (Corporate strategy emphasizes low cost over short wait time). Assuming a single waiting line where customers wait for the first available bay, an average arrival rate of 26 vehicles per hour (assume Poisson arrivals), and an average wash time of 16 minutes per vehicle, how many bays should they have open to meet their objectives?

   	a.	10
   	b.	9
   	c.	8
   	d.	7
   	e.	6

Answer 1

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