One physician on duty full time works in a hospital emergency room. Previous experience has shown that emergency patients arrive according to a Poisson distribution with an average rate of four per hour. The physician can provide emergency treatment for approximately six patients per hour. The distribution of the physician s service time is approximately a negative exponential. Assume that the queue length can be infinite with FCFS discipline. Answer the following questions.
a. Determine the arrival and service rates.
b. Calculate the average probability of the system utilization and idle time.
c. Calculate the probability of no patients in the system and the probability of three patients in the system.
d. What are the average numbers of patients in the waiting line (L q ) and in the system (L)?
e. What are the average times that patients will spend in the waiting line (W q ) and in the system (W)?