Description
St. Michaels Hospital and Bridgepoint Hospital are in the process of developing an emergency responseplan in the event of a major disaster at George Brown College. Disasters can be triggered by a numberof event scenarios (i.e. weather, building collapse, fire, dangerous intruder, etc.) The main purpose ofthis emergency preparedness plan is focused on the transportation of disaster victims from the GBCcampus to the two main hospitals in the area (St. Michaels and Bridgepoint). When a disaster occurs onthe GBC campus, vehicles can be dispatched from local fire and ambulance locations, as well as hospitalsand police departments where victims are brought to a staging area near the scene and await transportto one of the two area hospitals. Aspects of the project analysis include the waiting times victims mightexperience at the disaster scene for emergency vehicles to transport them to the hospital, and waitingtimes for treatment once victims arrive at the hospital. The project team is analyzing various waitingline models as follows. (Unless stated otherwise, arrivals are Poisson distributed, and service times areexponentially distributed)A. First, consider a single-server waiting line model in which the available emergency vehicles areconsidered to be the server. Assume that victims arrive at the staging area ready to betransported to a hospital on average every 7 minutes and that emergency vehicles are plentifuland available to pick up and transport victims every 4.5 minutes. Compute the average waitingtime for victims. Next assume that the distribution of service times is undefined, with a mean of4.5 minutes and a standard deviation of 5 minutes. Compute the average waiting time for thevictims.B. Next consider a multiple-server model in which there are eight emergency vehicles available fortransporting victims to the hospitals, and the mean time required for a vehicle to pick up andtransport a victim to a hospital is 20 minutes. (Assume the same arrival rate as in Part !.)Compute the average waiting line, the average waiting time for a victim, and the average time inthe system for a victim (waiting and being transported)C. For the multiple-server model in Part B., now assume that there are a finite number of victims,18. Determine the average waiting line, the average waiting time, and the average time in thesystem.D. From the two hospitals perspectives, consider a multiple-server model in which the twohospitals are servers. The emergency vehicles at the disaster scene constitute a single waitingline, and each driver calls ahead to see which hospital is most likely to admit the victim first, andtravels to that hospital. Vehicles arrive at a hospital every 8.5 minutes, no average, and theaverage service time for the emergency staff to admit and treat a victim is 12 minutes.Determine the average waiting line for victims, the average waiting time, and the average timein the system.E. Next, consider a single hospital, S. Michaels, which in an emergency disaster situation has 5physicians with supporting staff available. Victims arrive at the hospital on average every 8.5minutes. It takes an emergency room team, on average, 21 minutes to treat a victim.Determine the average waiting line, the average waiting time, and the average time in thesystem.F. For the multiple-server model in Part E., now assume that there are a finite number of victims,23. Determine the average waiting line, the average waiting time, and the average time in thesystem.G. Which of these waiting line models do you think would be the most useful in analyzing a disastersituation? How do you think some, or all , of the models might be used together to analyze adisaster situation? What other types of waiting line models do you think might be useful inanalyzing a disaster situation?
