Markov chains - the car rental agency service
Suppose a car rental agency has three locations in Ottawa: A downtown location (labeled A), A East End location (labeled B), and a West End location (labeled C). The agency has a group of delivery drivers to serve all three locations. The agency's statistician has determined the following:
- Of the calls to the
Downtown
location, 30% are delivered in the Downtown area, 30% are delivered in theEast
end, and 40% are delivered in theWest
end - Of the calls to the
East
end location, 40% are delivered in the downtown area, 40% are delivered in theEast
end, and 20% are delivered in theWest
end - Of the calls to the
West
end location, 50% are delivered in the Downtown area, 30% are delivered in theEast
end, and 20% are delivered in theWest
end
After making a delivery, a driver goes to the nearest location to make the next delivery. This way, the location of a specific driver is determined only by their previous location.
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