A multiple channel system has customers arriving at an average rate of five per hour and an average service time of thirty minutes. The minimum number of servers for this system to be underloaded (feasible) is

A multiple channel system has customers arriving at an average rate of five per hour and an average service time of thirty minutes. The minimum number of servers for this system to be underloaded (feasible) is

Solution

Average rate of customer arriving = 5 per hour

Average service time = 30 minutes

The number of customer one server can serve in an hour = 60 min / 30 min = 2

Two servers can serve 4 customers in an hour.

So,the minimum number of servers for this system to be underloaded is 3.Because as the arrival rate is five per hour,with two servers the capacity of the system will be less than five and the system will be overloaded

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