At a fashion retailer, there are 3 cashiers providing On average, customers arrive at the checkout area every 6 minutes. It has been estimated that the arrival process is a Poisson process. The average checkout time for each customer is 12 minutes, with its standard deviation equal to 16 minutes. Suppose that customers form a single line. What is the average length of the line (i.e., average number of customers in the waiting line)? Note: 1. Keep 2 decimal places for your final answer. Either use Excel for your calculation, or keep at least 4 decimal places for your intermediate numbers. 2. The Poisson arrival process has exponentially distributed inter-arrival times.

Practical Management Science
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Author:WINSTON, Wayne L.
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At a fashion retailer, there are 3 cashiers providing checkout service simultaneously.
On average, customers arrive at the checkout area every 6 minutes. It has been
estimated that the arrival process is a Poisson process. The average checkout time
for each customer is 12 minutes, with its standard deviation equal to 16 minutes.
Suppose that customers form a single line.
What is the average length of the line (i.e., average number of customers in the
waiting line)?
Note: 1. Keep 2 decimal places for your final answer. Either use Excel for your
calculation, or keep at least 4 decimal places for your intermediate numbers.
2. The Poisson arrival process has exponentially distributed inter-arrival times.
Transcribed Image Text:At a fashion retailer, there are 3 cashiers providing checkout service simultaneously. On average, customers arrive at the checkout area every 6 minutes. It has been estimated that the arrival process is a Poisson process. The average checkout time for each customer is 12 minutes, with its standard deviation equal to 16 minutes. Suppose that customers form a single line. What is the average length of the line (i.e., average number of customers in the waiting line)? Note: 1. Keep 2 decimal places for your final answer. Either use Excel for your calculation, or keep at least 4 decimal places for your intermediate numbers. 2. The Poisson arrival process has exponentially distributed inter-arrival times.
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