#Operations Research - OR
#Operations Management - OM
#Queuing Theory
#Queuing Models
#Single Server Model
#Average Service Rate Calculation
MBA, MCA, BE, CA, CS, CWA, CMA, CPA, CFA, BBA, BCom, MCom, BTech, MTech, CAIIB, FIII, Graduation, Post Graduation, BSc, MSc, BA, MA, Diploma, Production, Finance, Management, Commerce, Engineering
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
- www.prashantpuaar.com
![](https://s2.save4k.ru/pic/e2rkV3z3ilM/maxresdefault.jpg)