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Waiting-Time Paradox In 1922, Naoki Masuda, Takayuki Hiraoka
Waiting-Time Paradox In 1922, Naoki Masuda, Takayuki Hiraoka
Northeast Journal of Complex Systems (NEJCS)
We present an English translation and discussion of an essay that a Japanese physicist, Torahiko Terada, wrote in 1922. In the essay, he described the waiting-time paradox, also called the bus paradox, which is a known mathematical phenomenon in queuing theory, stochastic processes, and modern temporal network analysis. He also observed and analyzed data on Tokyo City trams to verify the relevance of the waiting-time paradox to busy passengers in Tokyo at the time. This essay seems to be one of the earliest documentations of the waiting-time paradox in a sufficiently scientific manner.