Consider an emergency room. An average of 10 patientsarrive per hour (interarrival times are exponential). Uponentering, the patient fills out a form. Assume that this alwaystakes 5 minutes. Then each patient is processed by one oftwo registration clerks. This takes an average of 7 minutes(exponentially distributed). Then each patient walks 2 min-utes to a waiting room and waits for one of 4 doctors. Thetime a doctor takes to see a patient averages 20 minutes,with a standard deviation of 10 minutes. a On the average, how long does a patient spend in theemergency room? b On the average, how much of this time is spent wait-ing for a doctor? c What percentage of the time is each doctor busy?

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Polynomial Time

The problems for which the deterministic polynomial-time algorithm exists belong to the complexity class (p) and it is central in the field of computational complexity theory. According to Cobham’s thesis, polynomial time is a synonym for “feasible”, “fast”, and “efficient”.