Waiting-Time Paradox in 1922

Naoki Masuda; Takayuki Hiraoka

doi:10.22191/nejcs/vol2/iss1/1

Waiting-Time Paradox in 1922

Naoki Masuda
, Takayuki Hiraoka

Mathematics

University at Buffalo

Aalto University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

Original language	English
Journal	Northeast Journal of Complex Systems
Volume	2
Issue number	1
DOIs	https://doi.org/10.22191/nejcs/vol2/iss1/1
State	Published - 2020

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10.22191/nejcs/vol2/iss1/1

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title = "Waiting-Time Paradox in 1922",

abstract = "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.",

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AB - 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.

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Waiting-Time Paradox in 1922

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