Question

In: Operations Management

Voters arrive at a polling station at an average of 9 per minute (Poisson) where the...

Voters arrive at a polling station at an average of 9 per minute (Poisson) where the service rate is 150 per hour (Poisson).
1. What is the average number of voters in the system with 4 voter booths? (10 pts)

What is the minimum number of voting booths needed to keep the average time in the system under 1 minute (must show time)? (10 pts)

Expert Solution

Solution:

Hence, using the above formula we can calculate,

Hence,

a)
The average number of voters in the system, using the formula stated above, substitute the given values to get L,

b)

Current average time voter spends in the system is,

Hence,

For W to be less than 1, we have,

Hence, using the formula above, we can calculate the value of k for which the value of L is less than 9.

Hence, the minimum number of servers needed for ensuring the waiting time in system to be less than 1 minutes is 5 voter booths.

keosha answered 6 days ago

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