Question: One expectant mother arrives at a birthing center, on average, every 12 hours. She uses a birthing suite (and all associated services) for approximately 18 hours. How many suites should there be? Why? Assume one waiting area in the center and use days as the unit of time.
a. Probability that a unit must wait (Pw) in queuing system with Poisson arrivals and exponential service times.
b. Probability of an empty system (P0) and expected number of units in the queue (Lq) for queuing systems with Poisson arrivals and exponential arrival times.