#Operations Research - OR
#Operations Management - OM
#Queuing Theory
#Queuing Models
#Single Server Model
#Average Service Rate Calculation

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Poisson - Exponential Single Server Model

Case:
On the help desk of an office of an insurance company, the arrivals of the customers follow the Poisson Law and, on an average, at every 10 minutes a customer arrive. The officer responsible takes, on an average, 6 minutes to serve a customer, assuming the service exponentially distributed.
* Find the Average Service Rate for
(i) one hour (ii) 15-minute interval (iii) 30-minute interval

Average Service Rate per hour (i.e. per 60 minutes):
Minutes Customers
6 : 1
60 : ?
= 60 x 1 / 6 = 10

(ii) for 15-minute interval
Minutes Customers
6 : 1
15 : ?
= 15 x 1 / 6 = 2.5

(iii) 30-minute interval:
Minutes Customers
6 : 1
30 : ?
= 30 x 1 / 6 = 5

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