Journal of The Society of Instrument and Control Engineers
Online ISSN : 1883-8170
Print ISSN : 0453-4662
ISSN-L : 0453-4662
Generator of Arbitrary Markov Chain and Its Applications
Takuso SATOShigeo KISHIMOTO
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1965 Volume 4 Issue 1 Pages 38-43

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Abstract
Markov chain is one of typical random processes and many phenomena can be explained by reducing them to this process. In this paper, all statistical aspects of arbitrarily given markov chains are closely examined. For this purpose, a generator of markov chaan was constructed using binary random number's sources and magnetic drum memory. As, in this device, information concerning transition matrix can be given in the form of a punched tape, an arbitrary transition matrix is easily given. As an example of applications of this device to operation research, a problem of machine management was simulated, while, as an example of applications to analysis of random process, an Ehrenfest Model was prepared and its statistical characters were tested. Furthermore, there was given the possibility of solving general parabolic type differential equations using this device.
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