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A boarding-alighting position determination method determines a boarding position and an alighting position in a vehicle dispatch system that dispatches a vehicle in response to a vehicle dispatch request. A plurality of boarding position candidates and a plurality of alighting position candidates are calculated around a geographical point from which the vehicle dispatch request was transmitted. A vehicle position is detected when the vehicle dispatch request was transmitted. For each boarding position candidate, a travel route is calculated from the vehicle position at a time of the vehicle dispatch request to at least one of the alighting position candidates via the boarding position candidate. A travel time is calculated for the vehicle to travel the travel route calculated for each of the boarding position candidates. A selected boarding position is determined from among the boarding position candidates based on the traveling time for each boarding position candidate.