Nt1330 Unit 2 Agression Analysis Paper

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• Given the data on arrival and service times, how would you calculate an average arrival rate and service rate? The average arrival rate can be determined from Exhibit 4. Exhibit 4 gives us the arrival rate per half hour for three different possibilities viz. Normal, Peak and super peak intensity of flow. We can calculate the average flow rates for each individual scenario and then find the weighted average (by number of days) of these three scenarios to get a single average arrival rate (Ri) Service rate is determined by number of tellers divided by the time taken by each teller to service one customer. We are given that service time averages 43 seconds per customers and does not vary with time of the day. This means Service rate Rp = c/Tp where c is number of tellers and Tp is average time taken by teller to service one…show more content…
Throughput rate of the system can be determined by comparing arrival rate and processing rate. The minimum of two is the actual Throughput rate R R = min(Ri, Rp) Throughput varies from day to day and hour to hour as per exhibit 4. Maximum and minimum throughput can be used to calculate number of tellers for various levels of utilization. 2. Capacity utilization ‘u’ is the average fraction of the server pool capacity that is busy processing customers, i.e. u= R/Rp If Rp > Ri, i.e. processing capacity is sufficient to meet the demand for the service. In this scenario, the throughput rate is the same as the input rate ( R =Ri) and the capacity utilization ‘u’ = Ri/Rp is less than 1 so that some of the available capacity is unutilized. If on the other hand the inflow rate exceeds the processing rate Ri>=Rp then R=Rp and u=1 so the resource pool is constantly busy processing customers. Therefore,

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