In this study, methods to raise the efficiency of human movement via transportation in general are considered. First, we systematically express the transfer of humans and objects separately, and discuss more efficient methods of traveling by auxiliary methods, such as bicycles, taxis, and other vehicles. An accurate forecast method of market demand for transportation and also a method that provides an efficient supply to the market are necessary to increase the efficiency of transportation using auxiliary methods. In this paper, a multivariate linear analysis model used to demonstrate the forecasting of market demand for auxiliary methods is proposed, and a demonstration verifies the accuracy of this model. Moreover, this paper shows that the multivariate linear analysis model depends on time factors such as time of the day and day of the week, environmental factors such as weather, direction and speed of wind, temperature, and humidity, regional factors such as residential versus industrial or commercial locations, and cases of sudden or single occurrences (such as traffic accidents and traffic jams, and other factors which are festivals, opening and closing of shopping stores, entrance examinations, graduation ceremonies, school entrance ceremonies, academic meetings, etc.). In order to show the accuracy of the multivariate linear analysis model, these factors are considered using taxi transportation records of O city as examples to verify this model. The term "buturyuu" in Japanese means "materials flow", which is very popular. But, the term "jinryu" means people flow, and is a new word.
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