The FSA undergraduate student service desk employs a single agent and sees an average of 6 students per hour between 11:30 a.m. and 1:30 p.m. each business day, and the number of arrivals follows a Poisson distribution. The service time, which has a mean of 6 minutes and follows an exponential distribution, follows the PAPS principle. Accepting the assumption that the queue length is unbounded and the population of service seekers is also unbounded :
a- What is the average number of service seekers that can be found in the service location during this period?
b- What is the average waiting time and the average total time a service seeker must spend to obtain the desired service?
c- If service seekers are provided with two chairs to sit in during the wait and/or service, what is the probability of not having a chair available?
probability of not having a free chair?
d- Due to a 25% increase in FSA enrollment for fall 2015, the counter is considering adding a second staff member
during this time slot while maintaining a single line. What will the average wait time be?
e- The counter's service requesters indicate that the acceptable wait time is 3 minutes on average. Would you recommend employing this second person or not?