Anxious cruise vacationers besiege Tatiana, their excursion coordinator, and her fourteen assistants at the Port of Cozumel when they realize that all water excursions have been cancelled for no reason in particular
It takes them 4 minutes to find the customers an alternative excursion activity and customers cluster around them at the rate of 200 per hour. Calculate system performance characteristics if service times are exponentially distributed and the arrivals follow a Poisson distribution.
What will be an ideal response?
Answer: These formulas are a mess, so take my word that the P0 = 0.00.
With an arrival rate of 200 customers per hour and fifteen servers helping an average of 15 customers per hour, the following performance metrics apply:
Average server utilization = 0.89
Average number in the queue = 4.52 customers
Average number in the system = 17.86 customers
Average wait in the queue = 1.36 minutes
Average time in the system = 5.36 minutes
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