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In a queuing model given a service time, an arrival rate and number of helpers/servers, how do you determine if you have enough people?

User Elon Zito
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Final answer:

To determine if you have enough helpers/servers in a queuing model, you need to consider the arrival rate and service time. Increasing the number of helpers/servers can improve system capacity and reduce waiting times. Match or exceed the arrival rate with the number of helpers/servers to prevent queues.

Step-by-step explanation:

In a queuing model, the number of helpers/servers determines the system's capacity to handle customer arrivals. To determine if you have enough people, you need to consider the arrival rate and service time.

Let's take an example where the average arrival rate is 30 customers per hour, and each customer takes an average service time of 2 minutes. If you have 1 helper/server, the system cannot keep up with the rate of arrivals, resulting in a queue and longer waiting times. However, if you increase the number of helpers/servers, such as having 2 or more, the system capacity improves, reducing waiting times and ensuring the system can handle the customer inflow effectively.

In summary, the number of helpers/servers should be based on the arrival rate and service time. It is important to have enough helpers/servers to match or exceed the arrival rate to prevent queues and minimize waiting times.

User Keerthee
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