Suppose that all car owners fill when their tanks are exactly half full. At the present time, an average up of 7.5 customers per hour arrive at a single-pump gas station. It takes an average of 4 minutes to service a car. Assume that interarrival and service times are both exponential. For the present situation, compute L and W.Suppose that a gas shortage occurs and panic buying takes place. To model the phenomenon, suppose that all car owners now purchase gas when their tanks are exactly three quarters full. Now each car owner will fill up trice as often. Since each car owner is now putting less gas into the tank during each visit to the station, we assume that the average service time has been reduced to 2 1/2 minutes. How has panic buying affected L and W?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that all car owners fill when their tanks are exactly half full. At the present time, an average up of 7.5 customers per hour arrive at a single-pump gas station. It takes an average of 4 minutes to service a car. Assume that interarrival and service times are both exponential. For the present situation, compute L and W.Suppose that a gas shortage occurs and panic buying takes place. To model the phenomenon, suppose that all car owners now purchase gas when their tanks are exactly three quarters full. Now each car owner will fill up trice as often. Since each car owner is now putting less gas into the tank during each visit to the station, we assume that the average service time has been reduced to 2 1/2 minutes. How has panic buying affected L and W?

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